Sommaire du Fascicule no. 4

Erratum: ``Periodic nonlinear waves on a half-line''

Weinstein, Alan

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Erratum: ``Superconformal current algebras and their unitary representations''

Kac, Victor G. ; Todorov, Ivan T.

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Theta functions, modular invariance, and strings

Alvarez-Gaumé, Luis ; Moore, Gregory ; Vafa, Cumrun

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p. 1-40

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Equilibrium fluctuations for interacting Brownian particles

Spohn, Herbert

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p. 1-33

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The stability of rotating vortex patches

Wan, Yieh Hei

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p. 1-20

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Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions

Kipnis, C. ; Varadhan, S. R. S.

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p. 1-19

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Bounds on the trajectories of a system of weakly coupled rotators

Wayne, C. Eugene

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p. 21-36

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Asymptotic completeness for a new class of Stark effect Hamiltonians

Jensen, Arne

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p. 21-28

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The limiting absorption and amplitude principles for the diffraction problem with two unbounded media

Eidus, D.

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p. 29-38

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On purely radiative space-times

Friedrich, Helmut

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p. 35-65

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Evaluation of the one loop string path integral

Polchinski, Joseph

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p. 37-47

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The existence of dendritic fronts

Collet, P. ; Eckmann, J.-P.

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p. 39-92

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A mean field spin glass with short-range interactions

Chayes, J. T. ; Chayes, L. ; Sethna, James P. ; Thouless, D. J.

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p. 41-89

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The compressible Euler equations in a bounded domain: existence of solutions and the incompressible limit

Schochet, Steve

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p. 49-75

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A renormalizable field theory: the massive Gross-Neveu model in two dimensions

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

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p. 67-103

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Approximation semi-classique de l'équation de Heisenberg

Wang, Xue Ping

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p. 77-86

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Multidimensional random walks in random environments with subclassical limiting behavior

Durrett, Richard

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p. 87-102

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Markov quantum semigroups admit covariant Markov $C^*$-dilations

Sauvageot, Jean-Luc

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p. 91-103

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The motion of Kaluza-Klein monopoles

Ruback, P. J.

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p. 93-102

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Can one hear the dimension of a fractal?

Brossard, Jean ; Carmona, René

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p. 103-122

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The analysis of elliptic families. II. Dirac operators, eta invariants, and the holonomy theorem

Bismut, Jean-Michel ; Freed, Daniel S.

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p. 103-163

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Unitary representations of the Virasoro and super-Virasoro algebras

Goddard, P. ; Kent, A. ; Olive, D.

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p. 105-119

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Specifications and Martin boundaries for ${\scr P}(\Phi)_2$-random fields

Röckner, Michael

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p. 105-135

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The distribution of Lyapunov exponents: exact results for random matrices

Newman, Charles M.

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p. 121-126

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Integrable nonlinear $\sigma$ models with fermions

Abdalla, Elcio ; Forger, Michael

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p. 123-150

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Localization formulas, superconnections, and the index theorem for families

Bismut, J.-M.

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p. 127-166

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Homothetic and conformal symmetries of solutions of Einstein's equations

Eardley, D. ; Isenberg, J. ; Marsden, J. ; Moncrief, V.

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p. 137-158

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A conformal lower bound for the smallest eigenvalue of the Dirac operator and Killing spinors

Hijazi, Oussama

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p. 151-162

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Volume dependence of the energy spectrum in massive quantum field theories. II. Scattering states

Lüscher, M.

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p. 153-188

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The analysis of elliptic families. I. Metrics and connections on determinant bundles

Bismut, Jean-Michel ; Freed, Daniel S.

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p. 159-176

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The distributional Borel summability and the large coupling $\Phi^4$ lattice fields

Caliceti, E. ; Grecchi, V. ; Maioli, M.

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p. 163-174

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Renormalization group flow for general $\sigma$-models

Lott, John

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p. 165-176

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Internal Lifschitz singularities of disordered finite-difference Schrödinger operators

Mezincescu, G. A.

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p. 167-176

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Volume dependence of the energy spectrum in massive quantum field theories. I. Stable particle states

Lüscher, M.

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p. 177-206

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Differential equations in the spectral parameter

Duistermaat, J. J. ; Grünbaum, F. A.

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p. 177-240

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Nonrepresentability of cohomology classes by bi-invariant forms (gauge and Kac-Moody groups)

Kumar, Shrawan

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p. 177-181

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Constraints and field equations for ten-dimensional super Yang-Mills theory

Harnad, J. ; Shnider, S.

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p. 183-199

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Global validity of the Boltzmann equation for a two-dimensional rare gas in vacuum

Illner, Reinhard ; Pulvirenti, Mario

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p. 189-203

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Spinor two-point functions in maximally symmetric spaces

Allen, B. ; Lütken, C. A.

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p. 201-210

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On the Boltzmann equation in unbounded space far from equilibrium, and the limit of zero mean free path

Arkeryd, Leif

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p. 205-219

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Central charges in the canonical realization of asymptotic symmetries: an example from three-dimensional gravity

Brown, J. D. ; Henneaux, Marc

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p. 207-226

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Generalized solutions of the radiative transfer equations in a singular case

Golse, F. ; Perthame, B.

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p. 211-239

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Ornstein-Zernike behavior for self-avoiding walks at all noncritical temperatures

Chayes, J. T. ; Chayes, L.

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p. 221-238

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A supersymmetric transfer matrix and differentiability of the density of states in the one-dimensional Anderson model

Campanino, Massimo ; Klein, Abel

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p. 227-241

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Imaginary-time path integral for a relativistic spinless particle in an electromagnetic field

Ichinose, Takashi ; Tamura, Hiroshi

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p. 239-257

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Analyticity of correlation functions for the two-dimensional Ising model

Araki, Huzihiro

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p. 241-266

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Debye-Hückel limit of quantum Coulomb systems. I. Pressure and diagonal reduced density matrices

Fontaine, J.-R.

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p. 241-257

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The spectrum of a Schrödinger operator in $L_p({\bf R}^\nu)$ is $p$-independent

Hempel, Rainer ; Voigt, Jürgen

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p. 243-250

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Stability of Coulomb systems with magnetic fields. I. The one-electron atom

Fröhlich, Jürg ; Lieb, Elliott H. ; Loss, Michael

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p. 251-270

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Asymptotic completeness for a quantum particle in a Markovian short range potential

Pillet, Claude-Alain

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p. 259-280

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Navier-Stokes equations for compressible fluids: global existence and qualitative properties of the solutions in the general case

Valli, Alberto ; Zajączkowski, Wojciech M.

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p. 259-296

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Synchronisation of canonical measures for hyperbolic attractors

Parry, William

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p. 267-275

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Stability of Coulomb systems with magnetic fields. II. The many-electron atom and the one-electron molecule

Lieb, Elliott H. ; Loss, Michael

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p. 271-282

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The dipole phase in the two-dimensional hierarchical Coulomb gas: analyticity and correlations decay

Benfatto, G. ; Gallavotti, G. ; Nicolò, F.

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p. 277-288

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Translation invariant Gibbs states in the $q$-state Potts model

Martirosian, D. H.

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p. 281-290

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Stabilty of Coulomb systems with magnetic fields. III. Zero energy bound states of the Pauli operator

Loss, Michael ; Yau, Horng-Tzer

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p. 283-290

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The ${\bf C}{\rm P}_{N-1}\;1/N$-action by inverse scattering transformation in angular momentum

Avan, J.

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p. 289-319

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Existence and uniqueness of positive solutions of semilinear elliptic equations with Coulomb potentials on ${\bf R}^3$

Benguria, Rafael ; Jeanneret, Lorenzo

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p. 291-306

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On the massive sine-Gordon equation in all regions of collapse

Nicolò, F. ; Renn, J. ; Steinmann, A.

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p. 291-326

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Random fields on Riemannian manifolds: a constructive approach

De Angelis, Gian Fabrizio ; de Falco, Diego ; Di Genova, Glauco

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p. 297-303

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Integrable cases of a rigid body dynamics and integrable systems on the ellipsoids

Bogoyavlensky, O. I.

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p. 305-322

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Inequalities for the Schatten $p$-norm. III

Kittaneh, Fuad

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p. 307-310

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Note on loss of regularity for solutions of the $3$-D incompressible Euler and related equations

Constantin, Peter

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p. 311-326

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Causal independence and the energy-level density of states in local quantum field theory

Buchholz, Detlev ; Wichmann, Eyvind H.

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p. 321-344

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The ${\rm U}(1)$ Higgs model. II. The infinite volume limit

King, C.

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p. 323-349

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Spontaneous symmetry breakdown in the abelian Higgs model

Kennedy, Tom ; King, Chris

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p. 327-347

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L'asymptotique de Weyl pour les bouteilles magnétiques

Colin de Verdière, Yves

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p. 327-335

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The problem of a self-gravitating scalar field

Christodoulou, Demetrios

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p. 337-361

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On a regularity problem occurring in connection with Anosov diffeomorphisms

Journé, Jean-Lin

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p. 345-351

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Symmetry breaking in Landau gauge. A comment to a paper by T. Kennedy and C. King: ``Spontaneous symmetry breakdown in the abelian Higgs model''

Borgs, Christian ; Nill, Florian

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p. 349-352

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On the elimination of nonresonance harmonics

Wayne, C. Eugene

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p. 351-386

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Bifurcations of circle maps: Arnol'd tongues, bistability and rotation intervals

Boyland, Philip L.

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p. 353-381

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The Mumford form and the Polyakov measure in string theory

Be\u{\i} linson, A. A. ; Manin, Yu. I.

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p. 359-376

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A rigorous upper bound of a scalar self-propagator in a random lattice ensemble in higher dimensions

Ren, Hai Cang

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p. 363-373

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Graded manifolds, supermanifolds and infinite-dimensional Grassmann algebras

Rogers, Alice

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p. 375-384

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Self duality in super Yang-Mills theories

Gilson, C. R. ; Martin, I. ; Restuccia, A. ; Taylor, J. G.

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p. 377-389

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Existence d'orbites quasi-périodiques dans les attracteurs de Birkhoff

Le Calvez, Patrice

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p. 383-394

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Crystals and quasicrystals: a continuum model

Radin, Charles

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p. 385-390

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An extension of Kotani's theorem to random generalized Sturm-Liouville operators

Minami, Nariyuki

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p. 387-402

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Principles for the design of billiards with nonvanishing Lyapunov exponents

Wojtkowski, Maciej

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p. 391-414

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Proof of character-valued index theorems

Goodman, Mark W.

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p. 391-409

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New proofs of the existence of the Feigenbaum functions

Epstein, H.

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p. 395-426

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Conformal regularization of the Kepler problem

Cordani, Bruno

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p. 403-413

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The Gibbs measures and partial differential equations. I. Ideas and local aspects

Zegarliński, Bogusław

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p. 411-429

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Symmetry-breaking for solutions of semilinear elliptic equations with general boundary conditions

Smoller, Joel A. ; Wasserman, Arthur G.

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p. 415-441

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A bound for global solutions of semilinear heat equations

Giga, Yoshikazu

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p. 415-421

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Finiteness of Ricci flat $N=2$ supersymmetric $\sigma$-models

Alvarez-Gaumé, L. ; Coleman, S. ; Ginsparg, P.

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p. 423-430

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Convergence of Chorin-Marsden product formula in the half-plane

Benfatto, G. ; Pulvirenti, M.

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p. 427-458

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On the continuous limit for a system of classical spins

Sulem, P.-L. ; Sulem, C. ; Bardos, C.

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p. 431-454

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Berezin integration on general fermionic supermanifolds

Rabin, Jeffrey M.

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p. 431-439

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Absence of localization in a class of Schrödinger operators with quasiperiodic potential

Delyon, François ; Petritis, Dimitri

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p. 441-444

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Methods of topological obstruction theory in condensed matter physics

Ovid'ko, I. A. ; Romanov, A. E.

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p. 443-453

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Topology of linked defects in condensed matter

Monastyrsky, M. I. ; Retakh, V. S.

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p. 445-459

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The capacity for a class of fractal functions

Hardin, D. P. ; Massopust, P. R.

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p. 455-460

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Null vectors, spinors, and strings

Budinich, P.

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p. 455-465

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Generic triviality of phase diagrams in spaces of long-range interactions

Israel, Robert B.

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p. 459-466

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A new integrable case of the motion of the $4$-dimensional rigid body

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

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p. 461-472

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On the existence of eigenvalues of the Schrödinger operator $H-\lambda W$ in a gap of $\sigma(H)$

Deift, Percy A. ; Hempel, Rainer

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p. 461-490

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Asymptotics of the cut discontinuity and large order behaviour from the instanton singularity: the case of lattice Schrödinger operators with exponential disorder

Constantinescu, F. ; Scharffenberger, U.

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p. 467-480

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Topological charge of (lattice) gauge fields

Göckeler, M. ; Laursen, M. L. ; Schierholz, G. ; Wiese, U.-J.

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p. 467-481

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Classical and quantum mechanical systems of Toda-lattice type. III. Joint eigenfunctions of the quantized systems

Goodman, Roe ; Wallach, Nolan R.

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p. 473-509

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BV estimates fail for most quasilinear hyperbolic systems in dimensions greater than one

Rauch, Jeffrey

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p. 481-484

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Determinants, torsion, and strings

Freed, Daniel S.

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p. 483-513

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On the absence of resonances for Schrödinger operators with nontrapping potentials in the classical limit

Klein, Markus

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p. 485-494

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Cluster expansion for abstract polymer models

Kotecký, R. ; Preiss, D.

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p. 491-498

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A non-Gaussian renormalization group fixed point for hierarchical scalar lattice field theories

Koch, Hans ; Wittwer, Peter

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p. 495-532

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Bernoulli property for a one-dimensional system with localized interaction

Boldrighini, C.

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p. 499-514

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Super-Kac-Moody algebras and supersymmetric $2$d-free fermions

Windey, Paul

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p. 511-518

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Scattering off of an instanton

Montgomery, Richard

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p. 515-533

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Hyper-Kåhler metrics and harmonic superspace

Galperin, A. ; Ivanov, E. ; Ogievetsky, V. ; Sokatchev, E.

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p. 515-526

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Hausdorff dimension of attractors for the two-dimensional Navier-Stokes equations with boundary conditions

Lafon, André

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p. 519-526

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On a $C^*$-algebra approach to phase transition in the two-dimensional Ising model. II

Evans, D. E. ; Lewis, J. T.

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p. 521-535

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Phases coexistence and surface tensions for the Potts model

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

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p. 527-545

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First-order transitions in spherical models: finite-size scaling

Fisher, Michael E. ; Privman, Vladimir

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p. 527-548

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Ground state and lowest eigenvalue of the Laplacian for noncompact hyperbolic surfaces

Pignataro, Thea ; Sullivan, Dennis

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p. 529-535

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Details of the nonunitarity proof for highest weight representations of the Virasoro algebra

Friedan, Daniel ; Qiu, Zongan ; Shenker, Stephen

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p. 535-542

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Quantum $R$ matrix for the generalized Toda system

Jimbo, Michio

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p. 537-547

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On determinants of Laplacians on Riemann surfaces

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

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p. 537-545

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von Neumann algebras associated to quantum-mechanical constants of motion

Grossmann, A. ; Slawny, J.

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p. 543-552

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Existence and partial regularity of static liquid crystal configurations

Hardt, Robert ; Kinderlehrer, David ; Lin, Fang-Hua

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p. 547-570

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One-dimensional $1/\vert j-i\vert^s$ percolation models: the existence of a transition for $s\leq 2$

Newman, C. M. ; Schulman, L. S.

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p. 547-571

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Perturbation theory and nonrenormalizable scalar fields

Felder, Giovanni ; Gallavotti, Giovanni

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p. 549-571

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Gauge covariant theory of the generating operator. I

Gerdjikov, V. S. ; Yanovski, A. B.

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p. 549-568

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The simplex structure of the classical states of the quantum harmonic oscillator

Bach, A. ; Lüxmann-Ellinghaus, U.

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p. 553-560

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A conformal holomorphic field theory

Odzijewicz, Anatol

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p. 561-575

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On the mass spectrum of the $2+1$ gauge-Higgs lattice quantum field theory

Schor, Ricardo S. ; O'Carroll, Michael

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p. 569-597

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A direct variational approach to Skyrme's model for meson fields

Esteban, Maria J.

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p. 571-591

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Integrability of two interacting $N$-dimensional rigid bodies

Perelomov, A. M. ; Ragnisco, O. ; Wojciechowski, S.

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p. 573-583

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The effective potential as an energy density: the one-phase region

Slade, Gordon

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p. 573-580

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Many phases in systems without periodic ground states

Mi\polhk{e}kisz, Jacek

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p. 577-586

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Map dependence of the fractal dimension deduced from iterations of circle maps

Alstrøm, P.

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p. 581-589

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Integration on supermanifolds and a generalized Cartan calculus

Picken, R. F. ; Sundermeyer, K.

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p. 585-604

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On the existence of $n$-geodesically complete or future complete solutions of Einstein's field equations with smooth asymptotic structure

Friedrich, Helmut

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p. 587-609

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Truncated Gamow functions, $\alpha$-decay and the exponential law

Skibsted, Erik

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p. 591-604

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Algebraic properties of the invariant charges of the Nambu-Goto theory

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

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p. 593-627

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Lattice gauge fields, principal bundles and the calculation of topological charge

Phillips, Anthony ; Stone, David

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p. 599-636

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Homogeneous Kåhler manifolds: paving the way towards new supersymmetric sigma models

Bordemann, M. ; Forger, M. ; Römer, H.

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p. 605-647

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Fock representations of the affine Lie algebra $A^{(1)}_1$

Wakimoto, Minoru

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p. 605-609

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Discontinuity of the percolation density in one-dimensional $1/\vert x- y\vert^2$ percolation models

Aizenman, M. ; Newman, C. M.

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p. 611-647

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Quaternionic quantum field theory

Adler, Stephen L.

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p. 611-656

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The invariant charges of the Nambu-Goto theory in WKB-approximation: renormalization

Pohlmeyer, K.

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p. 629-643

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Absence of charged states in the ${\rm U}(1)$ Higgs lattice gauge theory

Barata, J. C. A. ; Wreszinski, W. F.

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p. 637-668

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Supersymmetry in a space with auxiliary dimensions

Rosly, A. A. ; Schwarz, A. S.

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p. 645-668

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The ${\rm U}(1)$ Higgs model. I. The continuum limit

King, C.

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p. 649-677

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Harmonic maps with defects

Brezis, Ha\"\i"m ; Coron, Jean-Michel ; Lieb, Elliott H.

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p. 649-705

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The Becker-Döring cluster equations: basic properties and asymptotic behaviour of solutions

Ball, J. M. ; Carr, J. ; Penrose, O.

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p. 657-692

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Some examples concerning the global Markov property

Israel, Robert B.

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p. 669-673

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Vector two-point functions in maximally symmetric spaces

Allen, Bruce ; Jacobson, Theodore

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p. 669-692

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Deconfining phase transition in the ${\rm U}(1)$ model with Wilson's action

King, Chris

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p. 675-690

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Signs of the Ising model Ursell functions

Shlosman, S. B.

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p. 679-686

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Field algebras do not leave field domains invariant

Horuzhy, S. S. ; Voronin, A. V.

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p. 687-692

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$2$- and $3$-cochains in $4$-dimensional ${\rm SU}(2)$ gauge theory

Laursen, M. L. ; Schierholz, G. ; Wiese, U.-J.

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p. 693-699

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Ensemble average of an arbitrary number of pairs of different eigenvalues using Grassmann integration

Ullah, Nazakat

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p. 693-695

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Absence of crystalline ordering in two dimensions

Fröhlich, Jürg ; Pfister, Charles-Edouard

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p. 697-700

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