Sommaire du Fascicule no. 3

Stark effect in multielectron systems: nonexistence of bound states

Sigal, I. M.

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p. 1-22

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Bound on the mass gap for finite volume stochastic Ising models at low temperature

Thomas, Lawrence E.

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p. 1-11

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Pseudo-differential projections and the topology of certain spaces of elliptic boundary value problems

Booss-Bavnbek, B. ; Wojciechowski, K. P.

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p. 1-9

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Projections of Gibbs measures may be non-Gibbsian

Schonmann, Roberto H.

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p. 1-7

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Modular covariance of minimal model correlation functions

Felder, G. ; Silvotti, R.

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p. 1-15

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Analyticity of scattering for the $\phi^4$ theory

Baez, John C. ; Zhou, Zheng-Fang

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p. 9-21

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Stability of semiclassical bound states of nonlinear Schrödinger equations with potentials

Oh, Yong-Geun

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p. 11-33

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Aubry-Mather sets and Birkhoff's theorem for geodesic flows on the two-dimensional torus

Bialy, M. L.

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p. 13-24

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The global structure of simple space-times

Newman, Richard P. A. C.

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p. 17-52

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Homogeneous Kåhler manifolds and $T$-algebras in $N=2$ supergravity and superstrings

Cecotti, S.

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p. 23-55

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The coexistence problem for the discrete Mathieu operator

van Mouche, Pierre

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p. 23-33

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Classification of lattices with $Z_m$ symmetry

Ono, Mizuki

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p. 25-48

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On the construction of monopoles for the classical groups

Hurtubise, Jacques ; Murray, Michael K.

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p. 35-89

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$p$-adic Feynman and string amplitudes

Lerner, È. Yu. ; Missarov, M. D.

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p. 35-48

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Analytic extrapolation in $L^\infty$-norm: an alternative approach to ``QCD sum rules''

Auberson, G. ; Mennessier, G.

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p. 49-62

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Hidden ${\rm SL}(n)$ symmetry in conformal field theories

Bershadsky, Michael ; Ooguri, Hirosi

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p. 49-83

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Valence bond ground states in a frustrated two-dimensional spin-$\frac12$ Heisenberg antiferromagnet

Chayes, J. T. ; Chayes, L. ; Kivelson, S. A.

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p. 53-83

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Algebraic study on the super-KP hierarchy and the ortho-symplectic super-KP hierarchy

Uneo, Kimio ; Yamada, Hirofumi ; Ikeda, Kaoru

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p. 57-78

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Convergence of the fractional step Lax-Friedrichs scheme and Godunov scheme for the isentropic system of gas dynamics

Ding, Xia Xi ; Chen, Gui Qiang ; Luo, Pei Zhu

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p. 63-84

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Nonholonomicity of the $S$ matrix and Green functions in quantum field theory: a direct algebraic proof in some simple situations

Iagolnitzer, D. ; Iagolnitzer, L.

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p. 79-85

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Why instantons are monopoles

Garland, H. ; Murray, M. K.

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p. 85-90

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Uniform and $L^2$ convergence in one-dimensional stochastic Ising models

Holley, Richard A. ; Stroock, Daniel W.

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p. 85-93

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Quantum field-theory models on fractal spacetime. II. Hierarchical propagators

Eyink, G.

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p. 85-101

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Quantum BRST charge for quadratically nonlinear Lie algebras

Schoutens, K. ; Sevrin, A. ; van Nieuwenhuizen, P.

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p. 87-103

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Inequalities and many phase transitions in ferromagnetic systems

Fernåndez, R. ; Slawny, J.

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p. 91-120

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Yang-Baxter equations and intermediate long wave hierarchies

Morosi, C. ; Tondo, G.

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p. 91-103

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The Hannay angles: geometry, adiabaticity, and an example

Golin, Simon ; Knauf, Andreas ; Marmi, Stefano

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p. 95-122

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Discontinuity of the Wilson string tension in the $4$-dimensional lattice pure gauge Potts model

Laanait, L. ; Messager, A. ; Ruiz, J.

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p. 103-131

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A one-dimensional $N$ fermion problem with factorized $S$ matrix

Gu, C. H. ; Yang, Chen Ning

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p. 105-116

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The BRST cohomology of the NSR string: vanishing and ``no-ghost'' theorems

Figueroa-O'Farrill, José M. ; Kimura, Takashi

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p. 105-132

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Calculating endomorphism valued cohomology: singlet spectrum in superstring models

Distler, Jacques ; Greene, Brian R. ; Kirklin, Kelley ; Miron, Paul

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p. 117-124

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On the Cauchy problem for the discrete Boltzmann equation with initial values in $L^+_1(\bf R)$

Toscani, G.

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p. 121-142

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The $(N=1)$ supersymmetric sine-Gordon model in two dimensions. II

Cassandro, Marzio ; Nicolò, Francesco ; Scoppola, Benedetto

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p. 123-146

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Differential calculus on compact matrix pseudogroups (quantum groups)

Woronowicz, S. L.

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p. 125-170

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Spectral stability under tunneling

Briet, Ph. ; Combes, J.-M. ; Duclos, P.

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p. 133-156

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Determinants of Dirac operators and Thirring model partition functions on Riemann surfaces with boundaries

Wu, Siye

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p. 133-152

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Global validity of the Boltzmann equation for two- and three-dimensional rare gas in vacuum. Erratum and improved result: ``Global validity of the Boltzmann equation for a two-dimensional rare gas in vacuum'' by Pulvirenti

Illner, R. ; Pulvirenti, M.

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p. 143-146

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Existence, regularity, and asymptotic behavior of the solutions to the Ginzburg-Landau equations on ${\bf R}^3$

Yang, Yi Song

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p. 147-161

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The largest Liapunov exponent for random matrices and directed polymers in a random environment

Eckmann, J.-P. ; Wayne, C. E.

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p. 147-175

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Renormalization group proof of perturbative renormalizability

Hurd, T. R.

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p. 153-168

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Meromorphic extensions of regular holonomic distributions

Källström, Rolf

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p. 157-166

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Multiparametric quantum deformation of the general linear supergroup

Manin, Yu. I.

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p. 163-175

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The Chern-Simons theory and knot polynomials

Fröhlich, J. ; King, C.

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p. 167-199

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The inverse backscattering problem in three dimensions

Eskin, G. ; Ralston, J.

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p. 169-215

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Redundancy of conditions for a Virasoro algebra. Comment on: ``A presentation for the Virasoro and super-Virasoro algebras'' by D. B. Fairlie, J. Nuyts and C. K. Zachos

Uretsky, Jack L.

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p. 171-173

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Large field renormalization. I. The basic step of the ${\bf R}$ operation

Bałaban, Tadeusz

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p. 175-202

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Quantum field theories of vortices and anyons

Fröhlich, J. ; Marchetti, P. A.

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p. 177-223

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Classical and quantum conformal field theory

Moore, Gregory ; Seiberg, Nathan

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p. 177-254

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Interaction of solitary waves in the system described by the Kadomtsev-Petviashvili equation with a self-consistent source

Mel'nikov, V. K.

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p. 201-215

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Superselection sectors with braid group statistics and exchange algebras. I. General theory

Fredenhagen, K. ; Rehren, K.-H. ; Schroer, B.

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p. 201-226

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A new proof of the propagation theorem for $N$-body quantum systems

Dereziński, Jan

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p. 203-231

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Index of subfactors and statistics of quantum fields. I

Longo, Roberto

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p. 217-247

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An estimate from above of the number of periodic orbits for semi-dispersed billiards

Stojanov, Luchezar

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p. 217-227

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Complex universality

Cvitanović, Predrag ; Myrheim, Jan

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p. 225-254

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The topological sigma model

Baulieu, L. ; Singer, I. M.

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p. 227-237

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Classical and quantum scattering on a spinning cone

de Sousa Gerbert, P. ; Jackiw, R.

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p. 229-260

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Block renormalization group for Euclidean fermions

Bałaban, Tadeusz ; O'Carroll, Michael ; Schor, Ricardo

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p. 233-247

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The thermodynamic formalism for expanding maps

Ruelle, David

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p. 239-262

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Expansiveness, hyperbolicity and Hausdorff dimension

Fathi, Albert

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p. 249-262

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Central limit theorem for mixing quantum systems and the CCR-algebra of fluctuations

Goderis, D. ; Vets, P.

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p. 249-265

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The existence of the thermodynamic limit in Coulomb-like systems

Gregg, Joseph Neely

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p. 255-276

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On the existence of equilibrium states in local quantum field theory

Buchholz, Detlev ; Junglas, Peter

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p. 255-270

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The factorization of a polynomial defined by partitions

Langlands, R. P.

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p. 261-284

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Inverse spectral problem for the Schrödinger equation with periodic vector potential

Eskin, G.

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p. 263-300

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Resonance theory in atom-surface scattering

Gérard, C.

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p. 263-290

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Nahm's transformation for instantons

Braam, Peter J. ; van Baal, Pierre

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p. 267-280

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Asymptotics of Varadhan-type and the Gibbs variational principle

Petz, D. ; Raggio, G. A. ; Verbeure, A.

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p. 271-282

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Ground state(s) of the spin-boson Hamiltonian

Spohn, Herbert

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p. 277-304

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Compactifications of $d=11$ supergravity on Kåhler manifolds

Pope, C. N. ; van Nieuwenhuizen, P.

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p. 281-292

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Integro-differential nonlinear equations and continual Lie algebras

Saveliev, M. V.

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p. 283-290

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A new proof of localization in the Anderson tight binding model

von Dreifus, Henrique ; Klein, Abel

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p. 285-299

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Eigenvalue branches of the Schrödinger operator $H-\lambda W$ in a gap of $\sigma(H)$

Alama, Stanley ; Deift, Percy A. ; Hempel, Rainer

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p. 291-321

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First order phase transitions in unbounded spin systems. I. Construction of the phase diagram

Borgs, Christian ; Waxler, Roger

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p. 291-324

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Continuous measures in one dimension

Johnson, Stewart D.

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p. 293-320

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BRST cohomology of the super-Virasoro algebras

Lian, Bong H. ; Zuckerman, Gregg J.

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p. 301-335

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Twisted nonabelian determinants on Riemann supersurfaces

Aoki, Kenichiro ; Periwal, Vipul

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p. 301-306

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A unified approach to phase diagrams in field theory and statistical mechanics

Borgs, Christian ; Imbrie, John Z.

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p. 305-328

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An analogue of P.B.W. theorem and the universal $R$-matrix for $U_h{\rm sl}(N+1)$

Rosso, Marc

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p. 307-318

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New Weyl groups for $A^{(1)}_1$ and characters of singular highest weight modules

Dobrev, V. K.

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p. 319-336

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The Kowalewski top 99 years later: a Lax pair, generalizations and explicit solutions

Bobenko, A. I. ; Reyman, A. G. ; Semenov-Tian-Shansky, M. A.

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p. 321-354

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Breit-Wigner formulas for the scattering phase and the total scattering cross-section in the semi-classical limit

Gérard, C. ; Martinez, A. ; Robert, D.

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p. 323-336

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The Weil-Petersson geometry of the moduli space of ${\rm SU}(n\geq 3)$ (Calabi-Yau) manifolds. I

Todorov, Andrey N.

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p. 325-346

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A global operator formalism on higher genus Riemann surfaces: $b$-$c$ systems

Bonora, Loriano ; Lugo, Adrian ; Matone, Marco ; Russo, Jorge

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p. 329-352

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Cohomology of power sets with applications in quantum probability

Lindsay, J. M. ; Parthasarathy, K. R.

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p. 337-364

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Heat kernel regularization of quantum fields

Jaffe, Arthur ; Lesniewski, Andrzej ; Wieczerkowski, Christian

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p. 337-344

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The Ising model and percolation on trees and tree-like graphs

Lyons, Russell

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p. 337-353

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Cyclic cocycles from graded KMS functionals

Kastler, Daniel

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p. 345-350

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Quantal problems with partial algebraization of the spectrum

Shifman, M. A. ; Turbiner, A. V.

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p. 347-365

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Quantum field theory and the Jones polynomial

Witten, Edward

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p. 351-399

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String structures on loop bundles

Coquereaux, R. ; Pilch, K.

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p. 353-378

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Classical scattering theory in one dimension

Hubacher, Andrea

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p. 353-375

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Large field renormalization. II. Localization, exponentiation, and bounds for the $\bf R$ operation

Bałaban, Tadeusz

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p. 355-392

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The asymptotics of the Ray-Singer analytic torsion associated with high powers of a positive line bundle

Bismut, Jean-Michel ; Vasserot, Éric

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p. 355-367

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The Yang-Yang thermodynamic formalism and large deviations

Dorlas, T. C. ; Lewis, J. T. ; Pulé, J. V.

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p. 365-402

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Continuum analogues of contragredient Lie algebras (Lie algebras with a Cartan operator and nonlinear dynamical systems)

Saveliev, M. V. ; Vershik, A. M.

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p. 367-378

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The structure of $N=16$ supergravity in two dimensions

Nicolai, H. ; Warner, N. P.

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p. 369-384

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Uniqueness and global Markov property for Euclidean fields: the case of general polynomial interactions

Albeverio, Sergio ; Høegh-Krohn, Raphael ; Zegarliński, Bogusław

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p. 377-424

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The trace formula for Schrödinger operators on the line

Craig, Walter

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p. 379-407

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Existence, uniqueness and cohomology of the classical BRST charge with ghosts of ghosts

Fisch, Jean ; Henneaux, Marc ; Stasheff, James ; Teitelboim, Claudio

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p. 379-407

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Monopoles and Baker functions

Ercolani, N. ; Sinha, A.

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p. 385-416

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The exceptional Jordan algebra and the superstring

Corrigan, E. ; Hollowood, T. J.

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p. 393-410

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On the microscopic validity of the Wulff construction and of the generalized Young equation

De Coninck, Joël ; Dunlop, François ; Rivasseau, Vincent

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p. 401-419

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Optimal bounds for ratios of eigenvalues of one-dimensional Schrödinger operators with Dirichlet boundary conditions and positive potentials

Ashbaugh, Mark S. ; Benguria, Rafael D.

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p. 403-415

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Some comments on Chern-Simons gauge theory

Ramadas, T. R. ; Singer, I. M. ; Weitsman, J.

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p. 409-420

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Asymptotics of the susceptibility for the Ising model on the hierarchical lattices

Bleher, P. M. ; Žalys, E.

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p. 409-436

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Perturbation of embedded eigenvalues in the generalized $N$-body problem

Agmon, Shmuel ; Herbst, Ira ; Skibsted, Erik

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p. 411-438

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On the structure of unitary conformal field theory. I. Existence of conformal blocks

Felder, G. ; Fröhlich, J. ; Keller, G.

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p. 417-463

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Exactly soluble diffeomorphism invariant theories

Horowitz, Gary T.

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p. 417-437

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The fermion determinant in two-dimensional Minkowski space: zeros and related properties

Cangemi, D. ; Makowka, M. ; Wanders, G.

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p. 421-444

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Representations of the Heisenberg algebra on a Riemann surface

Jaffe, Arthur ; Klimek, Sławomir ; Lesniewski, Andrzej

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p. 421-431

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The sine-Gordon field theory model at $\alpha^2=8\pi,$ the nonsuperrenormalizable theory

Nicolò, Francesco ; Perfetti, Paolo

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p. 425-452

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Superconformal geometry and string theory

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

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p. 437-450

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Dispersing billiards without focal points on surfaces are ergodic

Kråmli, A. ; Simånyi, N. ; Szåsz, D.

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p. 439-457

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The Ernst equation as a motion on a universal Grassmann manifold

Nagatomo, K.

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p. 439-453

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Attractors via random perturbations

Kifer, Yuri

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p. 445-455

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Capture and confinement of solitons in nonlinear integrable systems

Mel'nikov, V. K.

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p. 451-468

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A characterization of the classical states of the quantum harmonic oscillator by means of de Finetti's theorem

Bach, A. ; Srivastav, A.

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p. 453-462

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$S^1$ actions and elliptic genera

Taubes, Clifford Henry

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p. 455-526

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Structure of basic Lie superalgebras and of their affine extensions

Frappat, L. ; Sciarrino, A. ; Sorba, P.

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p. 457-500

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On a certain value of the Kauffman polynomial

Jones, V. F. R.

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p. 459-467

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Non-Archimedean strings and Bruhat-Tits trees

Zabrodin, A. V.

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p. 463-483

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Factorisation of energy dependent Schrödinger operators: Miura maps and modified systems

Antonowicz, Marek ; Fordy, Allan P.

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p. 465-486

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A renormalization prescription for massless quantum electrodynamics

Hurd, T. R.

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p. 469-479

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Conformal scalar fields and chiral splitting on super Riemann surfaces

D'Hoker, Eric ; Phong, D. H.

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p. 469-513

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The group of local biholomorphisms of ${\bf C}^1$ and conformal field theory in the operator formalism

Budzyński, Robert J. ; Klimek, Sławomir ; Sadowski, Paweł

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p. 481-499

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The operator algebra of orbifold models

Dijkgraaf, Robbert ; Vafa, Cumrun ; Verlinde, Erik ; Verlinde, Herman

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p. 485-526

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Super-extensions of energy dependent Schrödinger operators

Antonowicz, Marek ; Fordy, Allan P.

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p. 487-500

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A Weyl group for the Virasoro and $N=1$ super-Virasoro algebras

Dobrev, V. K.

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p. 501-514

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Correlation length bounds for disordered Ising ferromagnets

Chayes, J. T. ; Chayes, L. ; Fisher, Daniel S. ; Spencer, T.

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p. 501-523

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Density and uniqueness in percolation

Burton, R. M. ; Keane, M.

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p. 501-505

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Embedding of ${\rm U}(1)$-current algebras in noncommutative algebras of classical statistical mechanics

Connes, Alain ; Evans, David E.

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p. 507-525

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Metastable states for the Becker-Döring cluster equations

Penrose, Oliver

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p. 515-541

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Soft breaking of gauge invariance in regularized quantum electrodynamics

Hurd, T. R.

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p. 515-526

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Erratum: ``Convergence to diffusion waves of solutions for viscous conservation laws''

Chern, I-Liang ; Liu, Tai-Ping

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p. 525-527

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A remark on smoothing of magnetic Schrödinger semigroups

Smits, Lieven

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p. 527-528

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Erratum: ``The quantum theory of second class constraints: kinematics''

Grundling, H. ; Hurst, C. A.

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p. 527-529

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Deformations of super-KMS functionals

Jaffe, Arthur ; Lesniewski, Andrzej ; Wiśniowski, Marek

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p. 527-540

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Spectral properties of one-dimensional quasi-crystals

Bellissard, J. ; Iochum, B. ; Scoppola, E. ; Testard, D.

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p. 527-543

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Fine tuning of resonances and periodic solutions of Hamiltonian systems near equilibrium

Dell'Antonio, G. F.

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p. 529-546

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Deformation quantization of Heisenberg manifolds

Rieffel, Marc A.

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p. 531-562

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Algebraic quantization on a group and nonabelian constraints

Aldaya, Víctor ; Navarro-Salas, José ; Ramirez, Alfonso

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p. 541-556

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Singularity of the density of states for one-dimensional chains with random couplings

Campanino, Massimo ; Perez, J. Fernando

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p. 543-552

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Nonlinear Poisson structures and $r$-matrices

Li, Luen Chau ; Parmentier, Serge

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p. 545-563

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Pfaffian bundles and the Ising model

Palmer, John

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p. 547-574

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Index formulas for generalized Wiener-Hopf operators and boson-fermion correspondence in $2N$ dimensions

Ruijsenaars, S. N. M.

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p. 553-593

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Realization of holonomic constraints and freezing of high frequency degrees of freedom in the light of classical perturbation theory. II

Benettin, Giancarlo ; Galgani, Luigi ; Giorgilli, Antonio

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p. 557-601

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Monodromy in the quantum spherical pendulum

Guillemin, V. ; Uribe, A.

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p. 563-574

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Quantum $K$-systems

Narnhofer, H. ; Thirring, W.

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p. 565-577

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Symplectic fixed points and holomorphic spheres

Floer, Andreas

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p. 575-611

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The two-dimensional ${\rm O}(N)$ nonlinear $\sigma$-model: renormalisation and effective actions

Mitter, P. K. ; Ramadas, T. R.

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p. 575-596

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Thermodynamics for the zero-level set of the Brownian bridge

Petritis, Dimitri

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p. 579-595

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Chern numbers, quaternions, and Berry's phases in Fermi systems

Avron, J. E. ; Sadun, L. ; Segert, J. ; Simon, B.

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p. 595-627

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Global Laurent expansions on Riemann surfaces

Klimek, Sławomir ; Lesniewski, Andrzej

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p. 597-611

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A note on the Ising model in high dimensions

Bricmont, J. ; Kesten, H. ; Lebowitz, J. L. ; Schonmann, R. H.

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p. 597-607

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New bosonization and conformal field theory over ${\bf Z}$

Katsura, Toshiyuki ; Shimizu, Yuji ; Ueno, Kenji

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p. 603-627

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A note and erratum concerning: ``Min-max theory for the Yang-Mills-Higgs equations''

Taubes, Clifford H.

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p. 609-613

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The classification of monopoles for the classical groups

Hurtubise, Jacques

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p. 613-641

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Quantum field-theory models on fractal spacetime. I. Introduction and overview

Eyink, G.

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p. 613-636

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On existence and behaviour of asymptotically flat solutions to the stationary Einstein equations

Reula, Oscar

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p. 615-624

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Fay's trisecant identity and conformal field theory

Raina, A. K.

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p. 625-641

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The finite Toda lattices

Inozemtsev, V. I.

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p. 629-638

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Functional determinants on Mandelstam diagrams

D'Hoker, Eric ; Phong, D. H.

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p. 629-645

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Complete Ricci-flat Kåhler manifolds of infinite topological type

Anderson, Michael T. ; Kronheimer, Peter B. ; LeBrun, Claude

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p. 637-642

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Représentations unitaires des super-algèbres de Ramond et de Neveu-Schwarz

Sauvageot, François

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p. 639-657

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Nonintegrability of the $4$-vortex system: analytical proof

Koiller, Jair ; Carvalho, Sonia P.

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p. 643-652

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Cantor spectrum and singular continuity for a hierarchical Hamiltonian

Kunz, Hervé ; Livi, Roberto ; Sütő, Andrås

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p. 643-679

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Large-mass and high-temperature behaviour in perturbative quantum field theory

Landsman, N. P.

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p. 643-660

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Braid matrices and structure constants for minimal conformal models

Felder, G. ; Fröhlich, J. ; Keller, G.

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p. 647-664

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Perturbations of Gibbs semigroups

Zagrebnov, V. A.

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p. 653-664

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A connection between the Einstein and Yang-Mills equations

Mason, L. J. ; Newman, E. T.

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p. 659-668

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Stratifying monopoles and rational maps

Murray, Michael

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p. 661-674

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Spin glasses and other lattice systems with long range interactions

Fröhlich, J. ; Zegarliński, B.

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p. 665-688

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Spectral asymptotics for the Schrödinger operator with potential which steadies at infinity

Ra\u{\i} kov, G. D.

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p. 665-685

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Polynomial integrals of evolution equations

Litinsky, Eugene

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p. 669-682

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Multiloop calculations in $p$-adic string theory and Bruhat-Tits trees

Chekhov, L. O. ; Mironov, A. D. ; Zabrodin, A. V.

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p. 675-711

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The $(N=1)$ supersymmetric sine-Gordon model in two dimensions. I

Cassandro, Marzio ; Nicolò, Francesco ; Scoppola, Benedetto

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p. 681-702

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Uniqueness of Gibbs states for general $P(\varphi)_2$-weak coupling models by cluster expansion

Albeverio, Sergio ; Høegh-Krohn, Raphael ; Zegarliński, Bogusław

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p. 683-697

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Author index to volumes 111--120 (1987--1989)

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p. 689-700

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