Sommaire du Fascicule no. 4

Addendum: ``Some rigorous results on the Sherrington-Kirkpatrick spin glass model''

Aizenman, M. ; Lebowitz, J. L. ; Ruelle, D.

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Addendum: ``A mathematical classification of the one-dimensional deterministic cellular automata''

Dubois-Violette, Michel ; Rouet, Alain

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Regularity of the scattering trajectories in classical mechanics

Gutkin, Eugene

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p. 1-12

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Quantum $K$-theory. I. The Chern character

Jaffe, Arthur ; Lesniewski, Andrzej ; Osterwalder, Konrad

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p. 1-14

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Renormalization group approach to lattice gauge field theories. II. Cluster expansions

Bałaban, Tadeusz

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p. 1-22

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On the Fokker-Planck-Boltzmann equation

DiPerna, R. J. ; Lions, P.-L.

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p. 1-23

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Coadjoint orbits of the Virasoro group

Witten, Edward

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p. 1-53

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Linear cellular automata and recurring sequences in finite fields

Jen, Erica

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p. 13-28

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Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation

Bona, Jerry L. ; Sachs, Robert L.

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p. 15-29

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High order corrections to the time-independent Born-Oppenheimer approximation. II. Diatomic Coulomb systems

Hagedorn, George A.

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p. 23-44

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Small random perturbations of dynamical systems: exponential loss of memory of the initial condition

Martinelli, Fabio ; Scoppola, Elisabetta

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p. 25-69

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Geometric invariants of the quantum Hall effect

Xia, Jingbo

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p. 29-50

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Nonlinear diffusion limit for a system with nearest neighbor interactions

Guo, M. Z. ; Papanicolaou, G. C. ; Varadhan, S. R. S.

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p. 31-59

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Euler evolution for singular initial data and vortex theory: a global solution

Marchioro, Carlo

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p. 45-55

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On static and radiative space-times

Friedrich, Helmut

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p. 51-73

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The algebra formed by the invariant charges of the Nambu-Goto theory: identification of a maximal abelian subalgebra

Pohlmeyer, K. ; Rehren, K.-H.

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p. 55-68

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On the Borel summability of planar perturbation series: transition to Minkowski space

Kopper, Christoph

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p. 57-72

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The large deviation principle and some models of an interacting boson gas

van den Berg, M. ; Lewis, J. T. ; Pulé, J. V.

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p. 61-85

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Systems with outer constraints. Gupta-Bleuler electromagnetism as an algebraic field theory

Grundling, Hendrik

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p. 69-91

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The renormalization flow, spaces of two-dimensional field theories, and Connes' geometry

Periwal, Vipul

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p. 71-95

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Another construction of the central extension of the loop group

Murray, M. K.

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p. 73-80

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The quantum theory of second class constraints: kinematics

Grundling, Hendrik ; Hurst, C. A.

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p. 75-93

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A power counting theorem for Feynman integrals on the lattice

Reisz, Thomas

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p. 81-126

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Billiards with Pesin region of measure one

Markarian, Roberto

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p. 87-97

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A block spin construction of ondelettes. II. The QFT connection

Battle, Guy

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p. 93-102

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A Nekhoroshev-type theorem for Hamiltonian systems with infinitely many degrees of freedom

Benettin, Giancarlo ; Fröhlich, Jürg ; Giorgilli, Antonio

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p. 95-108

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Localised solutions of Hartree equations for narrow-band crystals

Albanese, Claudio

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p. 97-103

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A geometrical approach of quasiperiodic tilings

Oguey, Christophe ; Duneau, Michel ; Katz, André

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p. 99-118

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Stability of shock waves for the Broadwell equations

Caflisch, Russel E. ; Liu, Tai-Ping

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p. 103-130

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Rotation numbers of periodic orbits in the Hénon map

Alligood, K. T. ; Sauer, T.

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p. 105-119

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Rational rotation numbers for maps of the circle

Świątek, Grzegorz

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p. 109-128

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Construction of analytic KAM surfaces and effective stability bounds

Celletti, Alessandra ; Chierchia, Luigi

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p. 119-161

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Renormalizability and infrared finiteness of nonlinear $\sigma$-models: a regularization-independent analysis for compact coset spaces

Becchi, C. ; Blasi, A. ; Bonneau, G. ; Collina, R. ; Delduc, F.

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p. 121-148

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Bosonization, topological solitons and fractional charges in two-dimensional quantum field theory

Fröhlich, Jürg ; Marchetti, Pieralberto

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p. 127-173

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Geometry of superconformal manifolds

Rosly, A. A. ; Schwarz, A. S. ; Voronov, Alexander A.

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p. 129-152

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Supertori are algebraic curves

Rabin, Jeffrey M. ; Freund, Peter G. O.

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p. 131-145

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The two-dimensional, $N=2$ Wess-Zumino model on a cylinder

Jaffe, Arthur ; Lesniewski, Andrzej ; Weitsman, Jonathan

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p. 147-165

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Symanzik's improved actions from the viewpoint of the renormalization group

Wieczerkowski, Christian

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p. 149-176

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Existence of excited states for a nonlinear Dirac field

Balabane, Mikhaël ; Cazenave, Thierry ; Douady, Adrien ; Merle, Frank

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p. 153-176

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On generally covariant quantum field theory and generalized causal and dynamical structures

Bannier, Ulrich

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p. 163-170

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Scaling laws in the vortex lattice model of turbulence

Chorin, Alexandre Joel

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p. 167-176

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Lie group exponents and ${\rm SU}(2)$ current algebras

Nahm, Werner

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p. 171-176

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Erratum: ``Convergence of local charges and continuity properties of $W^*$-inclusions''

D'Antoni, C. ; Doplicher, S. ; Fredenhagen, K. ; Longo, R.

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p. 175-176

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On the evolution of nearly circular vortex patches

Constantin, P. ; Titi, E. S.

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p. 177-198

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An exhaustive criterion for the nonexistence of invariant circles for area-preserving twist maps

Stark, J.

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p. 177-189

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The global Markov property for equilibrium states which are determined by correlations in a strip

Kuik, R.

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p. 177-189

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The stability and instability of relativistic matter

Lieb, Elliott H. ; Yau, Horng-Tzer

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p. 177-213

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The invariant charges of the Nambu-Goto theory: their geometric origin and their completeness

Pohlmeyer, K. ; Rehren, K.-H.

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p. 177-186

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On the mean field instability of a random model for disordered superconductors

Ziegler, K.

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p. 177-193

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On a generalised Fourier transform of instantons over flat tori

Schenk, H.

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p. 177-183

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Invariants for smooth conjugacy of hyperbolic dynamical systems. IV

de la Llave, R. ; Moriyón, R.

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p. 185-192

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Extension of Pirogov-Sinai theory of phase transitions to infinite range interactions. I. Cluster expansion

Park, Yong Moon

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p. 187-218

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On structural stability for semiflows

Quandt, Juergen

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p. 191-202

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String structures and the index of the Dirac-Ramond operator on orbifolds

Pilch, K. ; Warner, N. P.

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p. 191-212

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Resonances en limite semiclassique et exposants de Lyapunov

Gérard, C. ; Sjöstrand, J.

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p. 193-213

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Quantum system in contact with a thermal environment: rigorous treatment of a simple model

de Smedt, P. ; Dürr, D. ; Lebowitz, J. L. ; Liverani, C.

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p. 195-231

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Random walk in random environment: a counterexample?

Bramson, Maury ; Durrett, Richard

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p. 199-211

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Topological classification of unknotted ring defects

Nakanishi, Hiizu ; Hayashi, Kiyoshi ; Mori, Hiroyuki

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p. 203-213

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Universal upper bound for the tunneling rate of a large quantum spin

van Hemmen, J. L. ; Wreszinski, W. F.

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p. 213-219

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BRST cohomology in classical mechanics

Henneaux, Marc ; Teitelboim, Claudio

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p. 213-230

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An instanton-invariant for $3$-manifolds

Floer, Andreas

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p. 215-240

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Diamagnetic currents

Macris, N. ; Martin, Ph. A. ; Pulé, J. V.

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p. 215-241

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On the large order behavior of $\phi^4_4$

David, F. ; Feldman, J. ; Rivasseau, V.

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p. 215-233

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Extension of Pirogov-Sinai theory of phase transitions to infinite range interactions. II. Phase diagram

Park, Yong Moon

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p. 219-241

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Beauty and the beast: superconformal symmetry in a Monster module

Dixon, L. ; Ginsparg, P. ; Harvey, J.

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p. 221-241

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Calabi-Yau hypersurfaces in products of semi-ample surfaces

Green, Paul ; Hübsch, Tristan

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p. 231-246

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On the invariant mass conjecture in general relativity

Chruściel, Piotr T.

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p. 233-248

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Dirichlet forms and white noise analysis

Hida, T. ; Potthoff, J. ; Streit, L.

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p. 235-245

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A construction of the $c<1$ modular invariant partition functions

Altschüler, Daniel ; Bardakci, Korkut ; Rabinovici, Eliezer

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p. 241-261

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Graded Riemann surfaces

Batchelor, M. ; Bryant, P.

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p. 243-255

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Knots, links, braids and exactly solvable models in statistical mechanics

Akutsu, Yasuhiro ; Wadati, Miki

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p. 243-259

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Convergent renormalization expansions for lattice gauge theories

Bałaban, T.

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p. 243-285

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One-dimensional Schrödinger operators with random decaying potentials

Kotani, S. ; Ushiroya, N.

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p. 247-266

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Geometric realization of conformal field theory on Riemann surfaces

Kawamoto, Noboru ; Namikawa, Yukihiko ; Tsuchiya, Akihiro ; Yamada, Yasuhiko

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p. 247-308

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Relating Kac-Moody, Virasoro and Krichever-Novikov algebras

Alberty, José ; Taormina, Anne ; van Baal, Pierre

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p. 249-260

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Effective action and cluster properties of the abelian Higgs model

Bałaban, Tadeusz ; Imbrie, John Z. ; Jaffe, Arthur

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p. 257-315

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Excited states for Coulomb systems in the Hartree-Fock approximation

Léon, Jean-François

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p. 261-268

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Current algebra representation for the $3+1$-dimensional Dirac-Yang-Mills theory

Mickelsson, Jouko

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p. 261-277

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Theory of matching rules for the $3$-dimensional Penrose tilings

Katz, A.

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p. 263-288

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The hidden symmetries of multicentre metrics

Gibbons, G. W. ; Ruback, P. J.

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p. 267-300

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The connection whose holonomy is the classical adiabatic angles of Hannay and Berry and its generalization to the nonintegrable case

Montgomery, R.

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p. 269-294

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Intersections of random walks. A direct renormalization approach

Duplantier, Bertrand

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p. 279-329

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Geometric theory of Stark resonances in multielectron systems

Sigal, I. M.

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p. 287-314

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Line bundles on super Riemann surfaces

Giddings, Steven B. ; Nelson, Philip

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p. 289-302

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$4$-dimensional black holes from Kaluza-Klein theories

Breitenlohner, Peter ; Maison, Dieter ; Gibbons, Gary

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p. 295-333

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Analytic torsion and holomorphic determinant bundles. III. Quillen metrics on holomorphic determinants

Bismut, Jean-Michel ; Gillet, Henri ; Soulé, Christophe

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p. 301-351

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An intermediate phase with slow decay of correlations in one-dimensional $1/\vert x-y\vert^2$ percolation, Ising and Potts models

Imbrie, J. Z. ; Newman, C. M.

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p. 303-336

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Confinement, deconfinement and freezing in lattice Yang-Mills theories with continuous time

Borgs, Christian

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p. 309-342

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Effet d'Aharonov-Bohm sur un état borné de l'équation de Schrödinger

Helffer, B.

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p. 315-329

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A phase cell approach to Yang-Mills theory. IV. The choice of variables

Federbush, Paul

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p. 317-343

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The Kadomtsev-Petviashvili equations and fundamental string theory

Gilbert, Gerald

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p. 331-348

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$2$-particle asymptotic completeness and bound states in weakly coupled quantum field theories

Bros, J. ; Iagolnitzer, D.

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p. 331-351

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Kac-Moody monopoles and periodic instantons

Garland, H. ; Murray, M. K.

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p. 335-351

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The free energy of quantum spin systems and large deviations

Cegła, W. ; Lewis, J. T. ; Raggio, G. A.

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p. 337-354

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Resonances in chaotic dynamics

Isola, Stefano

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p. 343-352

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A variational expression for the relative entropy

Petz, Dénes

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p. 345-349

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Comment: ``Global anomalies on orbifolds''

Freed, Daniel S. ; Vafa, Cumrun

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p. 349-351

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The Poisson algebra of the invariant charges of the Nambu-Goto theory: Casimir elements

Pohlmeyer, K.

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p. 351-362

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Derivation of a Bogomol'ny inequality in five-dimensional Kaluza-Klein theory

Lee, Joohan ; Sorkin, Rafael D.

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p. 353-364

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Topological quantum field theory

Witten, Edward

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p. 353-386

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The periodic orbits of an area preserving twist map

Angenent, S. B.

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p. 353-374

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Global existence for the relativistic Vlasov-Maxwell system with nearly neutral initial data

Glassey, R. T. ; Schaeffer, J. W.

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p. 353-384

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Etiology of IRF models

Pasquier, V.

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p. 355-364

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Is every approximate trajectory of some process near an exact trajectory of a nearby process?

Nusse, Helena E. ; Yorke, James A.

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p. 363-379

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Extension of the Pirogov-Sinaĭ theory to a class of quasiperiodic interactions

Koukiou, F. ; Petritis, D. ; Zahradník, M.

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p. 365-383

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Current algebras in $d+1$-dimensions and determinant bundles over infinite-dimensional Grassmannians

Mickelsson, J. ; Rajeev, S. G.

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p. 365-400

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Recursion operators and bi-Hamiltonian structures in multidimensions. I

Santini, P. M. ; Fokas, A. S.

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p. 375-419

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The evaluation map in field theory, sigma-models and strings. II

Bonora, L. ; Cotta-Ramusino, P. ; Rinaldi, M. ; Stasheff, J.

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p. 381-437

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On the asymptotic behaviour of the $L^2$-norm of suitable weak solutions to the Navier-Stokes equations in three-dimensional exterior domains

Maremonti, Paolo

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p. 385-400

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Generating difference equations with the Darboux transformation

Reach, Michael

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p. 385-402

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High order corrections to the time-dependent Born-Oppenheimer approximation. II. Coulomb systems

Hagedorn, George A.

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p. 387-403

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Ergodic endomorphisms of compact abelian groups

Shirvani, M. ; Rogers, T. D.

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p. 401-410

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Semiclassical asymptotics in solid state physics

Guillot, J.-C. ; Ralston, J. ; Trubowitz, E.

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p. 401-415

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Stochastic Schrödinger operators and Jacobi matrices on the strip

Kotani, S. ; Simon, B.

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p. 403-429

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Heat kernels and super determinants of Laplace operators on super Riemann surfaces

Aoki, Kenichiro

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p. 405-429

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Topological sigma models

Witten, Edward

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p. 411-449

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The $N^{7/5}$ law for charged bosons

Conlon, Joseph G. ; Lieb, Elliott H. ; Yau, Horng-Tzer

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p. 417-448

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A general relation between kink-exchange and kink-rotation

Sorkin, Rafael D.

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p. 421-434

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Predecessor states for certain cellular automata evolutions

Voorhees, Burton

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p. 431-439

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Connecting moduli spaces of Calabi-Yau threefolds

Green, Paul S. ; Hübsch, Tristan

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p. 431-441

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The Beltrami spectrum for incompressible fluid flows

Constantin, Peter ; Majda, Andrew

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p. 435-456

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Smoothness of the density of states in the Anderson model at high disorder

Bovier, Anton ; Campanino, Massimo ; Klein, Abel ; Perez, J. Fernando

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p. 439-461

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Rationality in conformal field theory

Anderson, Greg ; Moore, Greg

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p. 441-450

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Determinants of Laplacians on surfaces of finite volume

Efrat, Isaac

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p. 443-451

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Recursion operators and bi-Hamiltonian structures in multidimensions. II

Fokas, A. S. ; Santini, P. M.

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p. 449-474

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Nonlinear stability of rarefaction waves for compressible Navier-Stokes equations

Liu, Tai-Ping ; Xin, Zhou Ping

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p. 451-465

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Isospectral Hamiltonian flows in finite and infinite dimensions. I. Generalized Moser systems and moment maps into loop algebras

Adams, M. R. ; Harnad, J. ; Previato, E.

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p. 451-500

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Quasi-genericity of bifurcations to high-dimensional invariant tori for maps

Iooss, G. ; Los, J. E.

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p. 453-500

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Nijenhuis $G$-manifolds and Lenard bicomplexes: a new approach to KP systems

Magri, F. ; Morosi, C. ; Tondo, G.

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p. 457-475

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Spectral curves and the ADHM method

Hitchin, N. J. ; Murray, M. K.

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p. 463-474

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Quasi-exactly-solvable problems and ${\rm sl}(2)$ algebra

Turbiner, A. V.

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p. 467-474

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Periodic solutions of some infinite-dimensional Hamiltonian systems associated with nonlinear partial differential equations. I

Albanese, C. ; Fröhlich, J.

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p. 475-502

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Relative index theorems and supersymmetric scattering theory

Borisov, N. V. ; Müller, W. ; Schrader, R.

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p. 475-513

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A new method for the thermodynamics of the BCS model

Duffield, N. G. ; Pulé, J. V.

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p. 475-494

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Valence bond ground states in isotropic quantum antiferromagnets

Affleck, Ian ; Kennedy, Tom ; Lieb, Elliott H. ; Tasaki, Hal

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p. 477-528

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Classical and quantum scattering on a cone

Deser, S. ; Jackiw, R.

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p. 495-509

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Particle structure analysis of soliton sectors in massive lattice field theories

Marchetti, P. A.

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p. 501-528

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Convergence in the linked cluster theorem for many body fermion systems

Malyshev, V. A.

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p. 501-508

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On a theorem of Deift and Hempel

Gesztesy, F. ; Simon, B.

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p. 503-505

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Solvable lattice models related to the vector representation of classical simple Lie algebras

Jimbo, Michio ; Miwa, Tetsuji ; Okado, Masato

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p. 507-525

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The extended phase space of the BRS approach

Loll, R.

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p. 509-527

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Holomorphic curves in loop groups

Guest, M. A. ; Pressley, A. N.

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p. 511-527

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Quasi homomorphismes, cohomologie cyclique et positivité

Connes, A. ; Cuntz, J.

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p. 515-526

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Rarefactions and large time behavior for parabolic equations and monotone schemes

Harabetian, Eduard

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p. 527-536

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Dimension formula for random transformations

Ledrappier, F. ; Young, L.-S.

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p. 529-548

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Markov and stability properties of equilibrium states for nearest-neighbor interactions

Kuik, R.

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p. 529-552

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Euclidean formulation of quantum field theory without positivity

Jakóbczyk, L. ; Strocchi, F.

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p. 529-541

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Quantum field theory, Grassmannians, and algebraic curves

Witten, Edward

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p. 529-600

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Nonintegrability of the truncated Toda lattice Hamiltonian at any order

Yoshida, Haruo

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p. 529-538

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The equilibrium states of the spin-boson model

Fannes, M. ; Nachtergaele, B. ; Verbeure, A.

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p. 537-548

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Phase transition in the $3$d random field Ising model

Bricmont, J. ; Kupiainen, A.

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p. 539-572

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The $A^{(1)}_n$ face models

Jimbo, M. ; Kuniba, A. ; Miwa, T. ; Okado, M.

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p. 543-565

Project Euclid
On the uniqueness of the infinite cluster in the percolation model

Gandolfi, A. ; Grimmett, G. ; Russo, L.

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p. 549-552

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Large time behavior of the vorticity of two-dimensional viscous flow and its application to vortex formation

Giga, Yoshikazu ; Kambe, Tsutomu

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p. 549-568

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A priori estimates for $N=2$ Wess-Zumino models on a cylinder

Jaffe, Arthur ; Lesniewski, Andrzej

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p. 553-575

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Simulated annealing via Sobolev inequalities

Holley, Richard ; Stroock, Daniel

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p. 553-569

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Bethe-Salpeter kernel and short distance expansion in the massive Gross-Neveu model

Iagolnitzer, D. ; Magnen, J.

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p. 567-584

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Hyper-Kåhler metrics and a generalization of the Bogomolny equations

Pedersen, Henrik ; Poon, Yat Sun

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p. 569-580

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Monopoles, nonlinear $\sigma$ models, and two-fold loop spaces

Boyer, Charles P. ; Mann, Benjamin M.

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p. 571-594

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A convergence theorem for lattice Feynman integrals with massless propagators

Reisz, Thomas

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p. 573-606

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On reproducing kernels and quantization of states

Odzijewicz, Anatol

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p. 577-597

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Finite-dimensional representations of the quantum analog of the enveloping algebra of a complex simple Lie algebra

Rosso, Marc

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p. 581-593

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Cycling, twisting, and sewing in the group theoretic approach to strings

Neveu, A. ; West, P.

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p. 585-607

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An $n$-dimensional Borg-Levinson theorem

Nachman, Adrian ; Sylvester, John ; Uhlmann, Gunther

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p. 595-605

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A presentation for the Virasoro and super-Virasoro algebras

Fairlie, D. B. ; Nuyts, J. ; Zachos, C. K.

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p. 595-614

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Analyticity properties of eigenfunctions and scattering matrix

Balslev, Erik

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p. 599-612

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Super Riemann surfaces: uniformization and Teichmüller theory

Crane, Louis ; Rabin, Jeffrey M.

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p. 601-623

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The geometry of super Riemann surfaces

Giddings, Steven B. ; Nelson, Philip

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p. 607-634

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On the linearized relativistic Boltzmann equation. I. Existence of solutions

Dudyński, Marek ; Ekiel-Jeżewska, Maria L.

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p. 607-629

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Large momentum properties and Wilson short distance expansion in nonperturbative field theory

Iagolnitzer, D. ; Magnen, J.

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p. 609-626

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Group theoretic approach to the open bosonic string multiloop $S$-matrix

Neveu, A. ; West, P.

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p. 613-643

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Remarks on cosmological spacetimes and constant mean curvature surfaces

Bartnik, Robert

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p. 615-624

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Initial data sets of minimal energy

Reula, Oscar

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p. 625-638

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Double wells: perturbation series summable to the eigenvalues and directly computable approximations

Caliceti, Emanuela ; Grecchi, Vincenzo ; Maioli, Marco

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p. 625-648

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Local rules for quasicrystals

Levitov, L. S.

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p. 627-666

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A new characterization of half-flat solutions to Einstein's equation

Ashtekar, Abhay ; Jacobson, Ted ; Smolin, Lee

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p. 631-648

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Approximate neutrality of large-$Z$ ions

Lieb, Elliott H. ; Sigal, Israel M. ; Simon, Barry ; Thirring, Walter

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p. 635-644

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Renormalization of lattice Feynman integrals with massless propagators

Reisz, Thomas

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p. 639-671

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Sigma model solitons and their moduli space metrics

Ruback, P. J.

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p. 645-658

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String theory and algebraic geometry of moduli spaces

Smit, Dirk-Jan

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p. 645-685

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Quantization of the Kepler manifold

Cordani, Bruno

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p. 649-657

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$C=1$ conformal field theories on Riemann surfaces

Dijkgraaf, Robbert ; Verlinde, Erik ; Verlinde, Herman

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p. 649-690

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Nonlinear multiplane wave solutions of self-dual Yang-Mills theory

de Vega, H. J.

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p. 659-674

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The Kowalewski and Hénon-Heiles motions as Manakov geodesic flows on ${\rm SO}(4)$---a two-dimensional family of Lax pairs

Adler, Mark ; van Moerbeke, Pierre

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p. 659-700

Project Euclid
Absence of weak local rules for the planar quasicrystalline tiling with the $8$-fold rotational symmetry

Burkov, S. E.

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p. 667-675

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The action functional in noncommutative geometry

Connes, A.

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p. 673-683

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Locality of conformal fields in two dimensions: exchange algebra on the light-cone

Rehren, Karl-Henning

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p. 675-688

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Periodic solutions of some infinite-dimensional Hamiltonian systems associated with nonlinear partial difference equations. II

Albanese, Claudio ; Fröhlich, Jürg ; Spencer, Thomas

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p. 677-699

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Nonperturbative $2$ particle scattering amplitudes in $2+1$-dimensional quantum gravity

't Hooft, G.

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p. 685-700

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A boundary value problem for the two-dimensional Broadwell model

Cercignani, Carlo ; Illner, Reinhard ; Shinbrot, Marvin

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p. 687-698

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Fermionic fields on $Z_N$-curves

Bershadsky, M. ; Radul, A.

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p. 689-700

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Analyticity properties of the surface free energy of the Ising model

Pfister, C.-E. ; Penrose, O.

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p. 691-699

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