Sommaire du Fascicule no. 3

Erratum: ``The spectral class of the quantum-mechanical oscillator''

McKean, H. P. ; Trubowitz, E.

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Erratum: ``Solutions to Yang-Mills field equations in eight dimensions and the last Hopf map''

Grossman, Bernard ; Kephart, Thomas W. ; Stasheff, James D.

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Erratum: ``A proof of the axial anomaly''

Lott, John

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Erratum: ``Remark on the absence of absolutely continuous spectrum for $d$-dimensional Schrödinger operators with random potential for large disorder or low energy''

Martinelli, F. ; Scoppola, E.

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Erratum: ``On-shell improved lattice gauge theories''

Lüscher, M. ; Weisz, P.

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Kurt Symanzik

Jaffe, A. ; Lehmann, H. ; Mack, G.

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p. 1-4

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The geometry of real sine-Gordon wavetrains

Ercolani, Nicholas M. ; Forest, M. Gregory

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p. 1-49

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Harmonic analysis on ${\rm SL}(2,{\bf R})$ and smoothness of the density of states in the one-dimensional Anderson model

Simon, Barry ; Taylor, Michael

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p. 1-19

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Some comments on the ADHM construction in $4k$ dimensions

Corrigan, E. ; Goddard, P. ; Kent, A.

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p. 1-13

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Monte Carlo simulations for quantum field theories involving fermions

Karowski, M. ; Schrader, R. ; Thun, H. J.

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p. 5-29

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Oscillator representations of the $2$D-conformal algebra

Gervais, J.-L. ; Neveu, A.

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p. 15-21

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Constructive proof of localization in the Anderson tight binding model

Fröhlich, J. ; Martinelli, F. ; Scoppola, E. ; Spencer, T.

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p. 21-46

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Bounds on renormalized Feynman graphs

Feldman, J. ; Magnen, J. ; Rivasseau, V. ; Sénéor, R.

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p. 23-55

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${\rm SU}(2)$ lattice gauge theory: standard action versus Symanzik's tree-improved action

Berg, B. ; Billoire, A. ; Meyer, S. ; Panagiotakopoulos, C.

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p. 31-58

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A solution to the Navier-Stokes inequality with an internal singularity

Scheffer, Vladimir

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p. 47-85

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Mathematics of dispersive water waves

Kupershmidt, B. A.

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p. 51-73

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The double-wedge algebra for quantum fields on Schwarzschild and Minkowski spacetimes

Kay, Bernard S.

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p. 57-81

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On-shell improved lattice gauge theories

Lüscher, M. ; Weisz, P.

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p. 59-77

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Spaces of regular gauge field configurations on a lattice and gauge fixing conditions

Bałaban, T.

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p. 75-102

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On the modular structure of local algebras of observables

Fredenhagen, Klaus

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p. 79-89

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The æ tiology of sigma model anomalies

Moore, Gregory ; Nelson, Philip

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p. 83-132

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Quantum logics and convex geometry

Bunce, L. J. ; Wright, J. D. Maitland

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p. 87-96

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The intersection of Brownian paths as a case study of a renormalization group method for quantum field theory

Aizenman, Michael

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p. 91-110

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Asymptotic stability of traveling wave solutions of systems for one-dimensional gas motion

Kawashima, Shuichi ; Matsumura, Akitaka

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p. 97-127

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Hamiltonian interpretation of anomalies

Nelson, Philip ; Alvarez-Gaumé, Luis

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p. 103-114

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Intersection properties of simple random walks: a renormalization group approach

Felder, G. ; Fröhlich, J.

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p. 111-124

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Reduction techniques for infinite-dimensional Hamiltonian systems: some ideas and applications

Magri, F. ; Morosi, C. ; Ragnisco, O.

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p. 115-140

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Self-avoiding walk in $5$ or more dimensions

Brydges, David ; Spencer, Thomas

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p. 125-148

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Large time behaviour of some $N$-body systems

Krishna, M.

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p. 129-152

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Effective actions and large-$N$ limits

Lott, John

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p. 133-140

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New compactifications of ten- and eleven-dimensional supergravity on manifolds which are not direct products

van Nieuwenhuizen, P. ; Warner, N. P.

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p. 141-151

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Global properties of supermanifolds

Rabin, Jeffrey M. ; Crane, Louis

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p. 141-160

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The ground state of the three-dimensional random-field Ising model

Imbrie, John Z.

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p. 145-176

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Indecomposable representations with invariant inner product. A theory of the Gupta-Bleuler triplet

Araki, Huzihiro

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p. 149-159

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Discrete lattice systems and the equivalence of microcanonical, canonical and grand canonical Gibbs states

Vanheuverzwijn, Paul

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p. 153-172

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Classical models of confinement. II

Lehmann, Harry ; Wu, Tai Tsun

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p. 161-167

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Existence of Stark ladder resonances

Agler, Jim ; Froese, Richard

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p. 161-171

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The energy-momentum spectrum in local field theories with broken Lorentz-symmetry

Borchers, Hans-Jürgen ; Buchholz, Detlev

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p. 169-185

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Large deviations from classical paths. Hamiltonian flows as classical limits of quantum flows

Blanchard, Ph. ; Sirugue, M.

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p. 173-185

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Instability of nonlinear bound states

Shatah, Jalal ; Strauss, Walter

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p. 173-190

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Monodromy fields on ${\bf Z}^2$

Palmer, John

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p. 175-206

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Convergence of the quantum Boltzmann map

Streater, R. F.

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p. 177-185

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Quantum measures and states on Jordan algebras

Bunce, L. J. ; Wright, J. D. Maitland

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p. 187-202

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The method of stationary phase for oscillatory integrals on Hilbert spaces

Rezende, Jorge

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p. 187-206

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Large deviations for stationary Gaussian processes

Donsker, M. D. ; Varadhan, S. R. S.

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p. 187-210

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Monopoles and rational maps: a note on a theorem of Donaldson

Hurtubise, Jacques

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p. 191-196

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Global gravitational anomalies

Witten, Edward

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p. 197-229

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Borel summability in the disorder parameter of the averaged Green's function for Gaussian disorder

Constantinescu, F. ; Klöckner, K. ; Scharffenberger, U.

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p. 203-211

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A classical solution of the nonlinear complex Grassmann $\sigma$-model with higher derivatives

Fujii, Kazuyuki

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p. 207-211

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The incompressible limit in nonlinear elasticity

Schochet, Steven

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p. 207-215

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Reduction in the number of coupling parameters

Zimmermann, W.

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p. 211-225

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Ground states of the $XY$-model

Araki, Huzihiro ; Matsui, Taku

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p. 213-245

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Index theorem and equivariant cohomology on the loop space

Bismut, Jean-Michel

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p. 213-237

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Large-time behavior of the Broadwell model of a discrete velocity gas

Beale, J. Thomas

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p. 217-235

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Conformal gauges and renormalized equations of motion in massless quantum electrodynamics

Petkova, V. B. ; Sotkov, G. M. ; Todorov, I. T.

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p. 227-256

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Yang-Mills equations on the two-dimensional sphere

Friedrich, Th. ; Habermann, L.

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p. 231-243

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Some results on the quantum dynamics of a particle in a Markovian potential

Pillet, Claude-Alain

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p. 237-254

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Spin and statistics of solitons and $J$-homomorphism

Ravenel, Douglas C. ; Zee, A.

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p. 239-243

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On nonequilibrium dynamics of multidimensional infinite particle systems in the translation invariant case

Siegmund-Schultze, Ra.

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p. 245-265

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Borel-Le Roy summability of the high temperature expansion for classical continuous systems

Maioli, Marco

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p. 245-251

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Renormalization theory in four-dimensional scalar fields. II

Gallavotti, G. ; Nicolò, F.

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p. 247-282

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Recurrence of random walks in the Ising spins

Miyamoto, Munemi

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p. 253-258

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Ultraviolet stability of three-dimensional lattice pure gauge field theories

Bałaban, T.

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p. 255-275

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Longitudinal jet cross sections in order $\alpha^2_s$

Lampe, B. ; Kramer, G.

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p. 257-266

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Some comments on the non-self-dual Nahm equations

Corrigan, E. ; Wainwright, P. R. ; Wilson, S. M. J.

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p. 259-272

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Convergent perturbation expansions for Euclidean quantum field theory

Mack, Gerhard ; Pordt, Andreas

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p. 267-298

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Global aspects of fixing the gauge in the Polyakov string and Einstein gravity

Killingback, T. P.

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p. 267-277

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Bounds on completely convergent Euclidean Feynman graphs

Feldman, J. ; Magnen, J. ; Rivasseau, V. ; Sénéor, R.

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p. 273-288

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The variational problem and background fields in renormalization group method for lattice gauge theories

Bałaban, Tadeuse

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p. 277-309

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Topological quantization and cohomology

Alvarez, Orlando

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p. 279-309

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Scaling of Mandelbrot sets generated by critical point preperiodicity

Eckmann, J.-P. ; Epstein, H.

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p. 283-289

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The thermodynamic limit for a crystal

Fefferman, C.

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p. 289-311

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Truncation of continuum ambiguities in phase-shift analysis

Atkinson, D. ; Stefanescu, I. S.

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p. 291-304

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Renormalization of the Higgs model: minimizers, propagators and the stability of mean field theory

Bałaban, Tadeusz ; Imbrie, John ; Jaffe, Arthur

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p. 299-329

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Almost periodic Jacobi matrices associated with Julia sets for polynomials

Barnsley, M. F. ; Geronimo, J. S. ; Harrington, A. N.

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p. 303-317

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Finiteness of Ricci flat supersymmetric nonlinear $\sigma$-models

Alvarez-Gaumé, L. ; Ginsparg, P.

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p. 311-326

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Finite temperature ${\rm SU}(2)$ lattice gauge theory

Tomboulis, E. T. ; Yaffe, L. G.

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p. 313-341

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The validity of nonlinear geometric optics for weak solutions of conservation laws

DiPerna, Ronald J. ; Majda, Andrew

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p. 313-347

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The Hamiltonian structure of general relativistic perfect fluids

Bao, David ; Marsden, Jerrold ; Walton, Ronald

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p. 319-345

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Localization in general one-dimensional random systems. I. Jacobi matrices

Simon, Barry

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p. 327-336

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The low density limit for an $N$-level system interacting with a free Bose or Fermi gas

Dümcke, R.

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p. 331-359

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Superconformal current algebras and their unitary representations

Kac, Victor G. ; Todorov, Ivan T.

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p. 337-347

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Some considerations on the nonlinear stability of stationary planar Euler flows

Marchioro, C. ; Pulvirenti, M.

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p. 343-354

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The massless Thirring model: positivity of Klaiber's $n$-point functions

Carey, A. L. ; Ruijsenaars, S. N. M. ; Wright, J. D.

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p. 347-364

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Periodic solutions in a model of pulsar rotation

Bogoyavlensky, O. I.

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p. 349-359

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Remarks on a paper: ``Remarks on the breakdown of smooth solutions for the $3$-D Euler equations'' by J. T. Beale, T. Kato and A. Majda

Ponce, Gustavo

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p. 349-353

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Regularized determinants for quantum field theories with fermions

Tamura, Hiroshi

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p. 355-367

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The ground state energy of a Bose gas with Coulomb interaction

Conlon, Joseph G.

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p. 355-397

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Surface effects in Debye screening

Federbush, Paul ; Kennedy, Tom

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p. 361-423

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Chiral anomalies in even and odd dimensions

Mickelsson, Jouko

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p. 361-370

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Noncompact symmetric spaces and the Toda molecule equations

Ferreira, L. A. ; Olive, D. I.

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p. 365-384

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Algebraic quantization of systems with a gauge degeneracy

Grundling, Hendrik B. G. S. ; Hurst, C. A.

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p. 369-390

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A proof of the axial anomaly

Lott, John

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p. 371-379

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The asymptotic Higgs field of a monopole

Hurtubise, Jacques

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p. 381-389

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Periodic nonlinear waves on a half-line

Weinstein, Alan

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p. 385-388

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Propagators for lattice gauge theories in a background field

Bałaban, T.

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p. 389-434

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Dynamical supersymmetry of the magnetic monopole and the $1/r^2$-potential

D'Hoker, Eric ; Vinet, Luc

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p. 391-427

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Asymptotically anti-de Sitter spaces

Henneaux, Marc ; Teitelboim, Claudio

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p. 391-424

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The low-temperature behavior of disordered magnets

Chayes, J. T. ; Chayes, L. ; Fröhlich, J.

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p. 399-437

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The loop expansion for the effective potential in the $P(\varphi)_2$ quantum field theory

Slade, Gordon

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p. 425-462

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Absence of symmetry breaking for $N$-vector spin glass models in two dimensions

van Enter, A. C. D. ; Fröhlich, J.

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p. 425-432

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Glueball mass spectrum and mass splitting in $2+1$ strongly coupled lattice gauge theories

O'Carroll, Michael ; de Almeida Braga, Gaståo ; Schor, Ricardo S.

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p. 429-442

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A note on the boson-fermion correspondence and infinite-dimensional groups

Carey, A. L. ; Hurst, C. A.

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p. 435-448

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Nonlinear stability of circular vortex patches

Wan, Y. H. ; Pulvirenti, M.

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p. 435-450

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The reciprocal of a Borel summable function is Borel summable

Auberson, G. ; Mennessier, G.

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p. 439-446

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Support theorems for random Schrödinger operators

Kotani, Shinichi

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p. 443-452

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Long range order in the anisotropic quantum ferromagnetic Heisenberg model

Kennedy, Tom

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p. 447-462

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A generalized fluctuation-dissipation theorem for the one-dimensional diffusion process

Okabe, Yasunori

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p. 449-468

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The Chern classes of Sobolev connections

Uhlenbeck, Karen K.

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p. 449-457

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Regularized and renormalized Bethe-Salpeter equations: some aspects of irreducibility and asymptotic completeness in renormalizable theories

Iagolnitzer, D.

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p. 451-460

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Universal lower bounds on eigenvalue splittings for one-dimensional Schrödinger operators

Kirsch, W. ; Simon, B.

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p. 453-460

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On symmetric solutions of the relativistic Vlasov-Poisson system

Glassey, Robert T. ; Schaeffer, Jack

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p. 459-473

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A remark on the cluster theorem

Fredenhagen, K.

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p. 461-463

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Instantons of two-dimensional fermionic effective actions by inverse scattering transformation

Avan, J. ; de Vega, H. J.

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p. 463-496

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The coherent potential approximation is a realizable effective medium scheme

Milton, G. W.

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p. 463-500

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Remark on the absence of absolutely continuous spectrum for $d$-dimensional Schrödinger operators with random potential for large disorder or low energy

Martinelli, F. ; Scoppola, E.

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p. 465-471

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Converse KAM: theory and practice

MacKay, R. S. ; Percival, I. C.

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p. 469-512

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Min-max theory for the Yang-Mills-Higgs equations

Taubes, Clifford Henry

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p. 473-540

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Formation of singularities in three-dimensional compressible fluids

Sideris, Thomas C.

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p. 475-485

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Curvature and the evolution of fronts

Sethian, J. A.

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p. 487-499

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Ergodicité et fonctions propres du laplacien

Colin de Verdière, Y.

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p. 497-502

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First order phase transitions in lattice and continuous systems: extension of Pirogov-Sinaĭ theory

Bricmont, J. ; Kuroda, K. ; Lebowitz, J. L.

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p. 501-538

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Solution of lattice models by successive linkage

Chorin, Alexandre Joel

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p. 501-515

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BRS cohomology and topological anomalies

Falqui, Gregorio ; Reina, Cesare

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p. 503-515

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Spins and fermions on arbitrary lattices

Szczerba, Andrzej M.

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p. 513-524

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Monopole charges for arbitrary compact gauge groups and Higgs fields in any representation

Horvåthy, P. A. ; Rawnsley, J. H.

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p. 517-540

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Correction and remarks: ``On the concept of attractor''

Milnor, John

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p. 517-519

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Solution of the initial value problem for the sine-Gordon equation using a Kac-Moody algebra

Mansfield, Paul

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p. 525-537

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Relativistic particle scattering

De Bièvre, Stephan ; Emch, Gérard G.

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p. 539-557

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The problem of recurrence for Lorentz processes

Kråmli, Andrås ; Szåsz, Domokos

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p. 539-552

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The Cauchy problem in extended supergravity, $N=1,\;d=11$

Choquet-Bruhat, Yvonne

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p. 541-552

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Wave operators and analytic solutions for systems of nonlinear Klein-Gordon equations and of nonlinear Schrödinger equations

Simon, Jacques C. H. ; Taflin, Erik

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p. 541-562

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Statistical mechanical methods in particle structure analysis of lattice field theories. II. Scalar and surface models

Bricmont, J. ; Fröhlich, J.

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p. 553-578

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Construction of canonical coordinates on polarized coadjoint orbits of Lie groups

Kamalin, S. A. ; Perelomov, A. M.

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p. 553-568

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Local existence of the Borel transform in Euclidean massless $\Phi^4_4$

de Calan, C. ; Petritis, D. ; Rivasseau, V.

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p. 559-577

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Bunting identity and Mazur identity for nonlinear elliptic systems including the black hole equilibrium problem

Carter, B.

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p. 563-591

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Relation between effective couplings for asymptotically free models

Oehme, Reinhard ; Zimmermann, Wolfhart

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p. 569-582

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On the existence of the real time evolution in Euclidean lattice gauge theories

Fredenhagen, Klaus

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p. 579-587

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Intersections of random walks in four dimensions. II

Lawler, Gregory F.

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p. 583-594

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Are there critical points on the boundaries of singular domains?

Herman, Michael-R.

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p. 593-612

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Uniqueness of one-dimensional continuum Gibbs states

Klein, David

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p. 595-604

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Convergence of Migdal-Kadanoff iterations in nonabelian lattice gauge models

Müller, V. F. ; Schiemann, J.

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p. 605-614

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The effect of spherical shells of matter on the Schwarzschild black hole

Dray, Tevian ; 't Hooft, Gerard

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p. 613-625

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