Sommaire du Fascicule no. 1

Statistical mechanics of vortices in an inviscid two-dimensional fluid

Fröhlich, Jürg ; Ruelle, David

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p. 1-36

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A remarkable connection between the representations of the Lie superalgebras ${\rm osp}(1,\,2n)$ and the Lie algebras ${\rm o}(2n+1)$

Rittenberg, V. ; Scheunert, M.

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p. 1-9

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Geometric analysis of $\varphi^{4}$ fields and Ising models. I, II

Aizenman, Michael

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p. 1-48

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Laudatio to the 60th Birthday of Rudolf Haag

Jost, Res

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p. 1-2

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Locality and the structure of particle states

Buchholz, Detlev ; Fredenhagen, Klaus

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p. 1-54

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The obsessions of time

Ruelle, David

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p. 3-5

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Correlation functions for quasilinear response theory

Brenig, W.

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p. 7-13

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Removable singularities in Yang-Mills fields

Uhlenbeck, Karen K.

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p. 11-29

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Analysis of the Thomas-Fermi-von Weizsåcker equation for an infinite atom without electron repulsion

Lieb, Elliott H.

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p. 15-25

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On the inverse problem in statistical mechanics

Hugenholtz, N. M.

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p. 27-38

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Connections with $L^{p}$ bounds on curvature

Uhlenbeck, Karen K.

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p. 31-42

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Supergravity, complex geometry and $G$-structures

Schwarz, A. S.

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p. 37-63

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Topology of lattice gauge fields

Lüscher, M.

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p. 39-48

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On Cantoni's generalized transition probability

Hadjisavvas, N.

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p. 43-48

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The Virasoro algebra

Kaplansky, Irving

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p. 49-54

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Feynman path integrals and the trace formula for the Schrödinger operators

Albeverio, S. ; Blanchard, Ph. ; Høegh-Krohn, R.

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p. 49-76

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The physical state space of quantum electrodynamics

Buchholz, Detlev

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p. 49-71

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On the symplectic structure of general relativity

Ashtekar, Abhay ; Magnon-Ashtekar, Anne

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p. 55-68

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Euclidean invariance in statistical mechanics of classical continuous system

Gruber, Ch. ; Martin, Ph. A. ; Oguey, Ch.

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p. 55-69

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Einstein's equations near spatial infinity

Beig, R. ; Schmidt, B. G.

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p. 65-80

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The general relativistic hydrogen atom

Cohen, Jeffrey M. ; Powers, Robert T.

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p. 69-86

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Modular structure of the local algebras associated with the free massless scalar field theory

Hislop, Peter D. ; Longo, Roberto

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p. 71-85

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Local aspects of superselection rules

Doplicher, Sergio

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p. 73-86

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The perturbation series for $\Phi^{4}_{3}$ field theory is divergent

de Calan, C. ; Rivasseau, V.

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p. 77-82

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Weak convergence of a random walk in a random environment

Lawler, Gregory F.

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p. 81-87

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Kowalewski's asymptotic method, Kac-Moody Lie algebras and regularization

Adler, M. ; van Moerbeke, P.

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p. 83-106

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Localization in algebraic field theory

Roberts, John E.

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p. 87-98

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The phase transition in the one-dimensional Ising model with $1/r^{2}$ interaction energy

Fröhlich, Jürg ; Spencer, Thomas

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p. 87-101

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Borel summability of the $1/N$ expansion for the $N$-vector [${\rm O}(N)$ nonlinear $\sigma $] models

Fröhlich, J. ; Mardin, A. ; Rivasseau, V.

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p. 87-110

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The symmetry and Efimov's effect in systems of three-quantum particles

Vugal'ter, S. A. ; Zhislin, G. M.

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p. 89-103

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On A. Connes' noncommutative integration theory

Kastler, Daniel

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p. 99-120

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Star-triangle relations in the exactly solvable statistical models

Pokrovsky, S. V. ; Bashilov, Yu. A.

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p. 103-132

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On the general structure of nonlinear evolution equations integrable by the two-dimensional matrix spectral problem

Konopel'chenko, B. G.

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p. 105-125

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Monotonicity of the free energy in the stochastic Heisenberg model

Wick, William D.

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p. 107-122

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Normal product states for fermions and twisted duality for CCR- and CAR-type algebras with application to the Yukawa$_2$ quantum field model

Summers, Stephen J.

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p. 111-141

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On a pathology in indefinite metric inner product space

Araki, Huzihiro

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p. 121-128

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The random walk representation of classical spin systems and correlation inequalities

Brydges, David ; Fröhlich, Jürg ; Spencer, Thomas

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p. 123-150

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A short proof of a Kupershmidt-Wilson theorem

Dickey, L. A.

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p. 127-129

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Strongly positive semigroups and faithful invariant states

Robinson, Derek W.

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p. 129-142

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Spacelike hypersurfaces with prescribed boundary values and mean curvature

Bartnik, Robert ; Simon, Leon

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p. 131-152

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On the regularization of the Kepler problem

Kummer, Martin

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p. 133-152

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Brownian motion in a convex ring and quasiconcavity

Borell, Christer

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p. 143-147

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Limits of states

Kadison, Richard V.

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p. 143-154

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Energy dependence of the scattering operator. II

Davies, E. B.

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p. 149-160

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Perturbation theory for shape resonances and large barrier potentials

Ashbaugh, Mark S. ; Harrell, Evans M.

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p. 151-170

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Group duality and the Kubo-Martin-Schwinger condition. II

Kastler, Daniel ; Takesaki, Masamichi

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p. 155-176

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Shock profile solutions of the Boltzmann equation

Caflisch, Russel E. ; Nicolaenko, Basil

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p. 161-194

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The global existence of Yang-Mills-Higgs fields in $4$-dimensional Minkowski space. I. Local existence and smoothness properties

Eardley, Douglas M. ; Moncrief, Vincent

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p. 171-191

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The low energy scattering for slowly decreasing potentials

Yafaev, D. R.

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p. 177-196

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The global existence of Yang-Mills-Higgs fields in $4$-dimensional Minkowski space. II. Completion of proof

Eardley, Douglas M. ; Moncrief, Vincent

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p. 193-212

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On the Atiyah-Drinfel'd-Hitchin-Manin construction for self-dual gauge fields

Osborn, H.

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p. 195-219

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Unitarity equations and structure of the $S$-matrix at the $m$-particle threshold in a theory with pure $m\rightarrow m$ interaction

Bros, J. ; Iagolnitzer, D.

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p. 197-219

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On the regular holonomic character of the $S$-matrix and microlocal analysis of unitarity-type integrals

Kawai, Takahiro ; Stapp, Henry P.

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p. 213-242

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Linking numbers of closed manifolds at random in ${\bf R}^{n}$, inductances and contacts

Duplantier, Bertrand

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p. 221-264

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General lower bounds for resonances in one dimension

Harrell, Evans M.

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p. 221-225

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Dobrushin uniqueness techniques and the decay of correlations in continuum statistical mechanics

Klein, David

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p. 227-246

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Nonlinear stability and instability of transonic flows through a nozzle

Liu, T. P.

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p. 243-260

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All massless, scalar fields with trivial $S$-matrix are Wick-polynomials

Baumann, Klaus

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p. 247-256

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The existence of a nonminimal solution to the ${\rm SU}(2)$ Yang-Mills-Higgs equations on ${\bf R}^{3}$. I

Taubes, Clifford Henry

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p. 257-298

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Time-orthogonal unitary dilations and noncommutative Feynman-Kac formulae

Hudson, R. L. ; Ion, P. D. F. ; Parthasarathy, K. R.

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p. 261-280

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On the vortex flow in bounded domains

Dürr, D. ; Pulvirenti, M.

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p. 265-273

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Boundary regularity for the Navier-Stokes equations

Scheffer, Vladimir

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p. 275-299

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Stability of Schrödinger eigenvalue problems

Vock, E. ; Hunziker, W.

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p. 281-302

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Compactness and the maximal Gibbs state for random Gibbs fields on a lattice

Béllissard, Jean ; Høegh-Krohn, Raphael

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p. 297-327

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The existence of a nonminimal solution to the ${\rm SU}(2)$ Yang-Mills-Higgs equations on ${\bf R}^{3}$. II

Taubes, Clifford Henry

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p. 299-320

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The density of states for almost periodic Schrödinger operators and the frequency module: a counterexample

Béllissard, J. ; Scoppola, E.

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p. 301-308

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Bifurcations from an invariant circle for two-parameter families of maps of the plane: a computer-assisted study

Aronson, D. G. ; Chory, M. A. ; Hall, G. R. ; McGehee, R. P.

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p. 303-354

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Existence and uniqueness for random one-dimensional lattice systems

Schneider, W. R.

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p. 303-313

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Geometric methods in the quantum many-body problem. Nonexistence of very negative ions

Sigal, I. M.

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p. 309-324

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Interpolation theory and the Wigner-Yanase-Dyson-Lieb concavity

Kosaki, Hideki

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p. 315-329

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On the positivity of the effective action in a theory of random surfaces

Onofri, E.

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p. 321-326

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Absence of discrete spectrum in highly negative ions. II. Extension to fermions

Ruskai, Mary Beth

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p. 325-327

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More surprises in the general theory of lattice systems

Sokal, Alan D.

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p. 327-336

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On the spectrum of Schrödinger operators with a random potential

Kirsch, Werner ; Martinelli, Fabio

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p. 329-350

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Local extensions in singular space-times. II

Clarke, C. J. S.

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p. 329-331

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Resonances for the AC-Stark effect

Yajima, Kenji

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p. 331-352

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Stationary solutions of the Bogolyubov hierarchy equations in classical statistical mechanics. IV

Gurevich, B. M. ; Suhov, Yu. M.

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p. 333-376

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Perturbation about the mean field critical point

Bricmont, Jean ; Fontaine, Jean-Raymond

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p. 337-362

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Stability theory for solitary-wave solutions of scalar field equations

Henry, Daniel B. ; Perez, J. Fernando ; Wreszinski, Walter F.

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p. 351-361

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Derivations commuting with abelian gauge actions on lattice systems

Bratteli, Ola ; Jørgensen, Palle E. T.

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p. 353-364

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Classical and quantum-mechanical systems of Toda lattice type. I

Goodman, Roe ; Wallach, Nolan R.

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p. 355-386

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Analyticity of effective coupling and propagators in massless models of quantum field theory

Oehme, Reinhard ; Zimmermann, Wolfhart

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p. 363-379

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Local stability and hydrodynamical limit of Spitzer's one-dimensional lattice model

Fritz, J.

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p. 363-373

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A criterion of integrability for perturbed nonresonant harmonic oscillators. ``Wick ordering'' of the perturbations in classical mechanics and invariance of the frequency spectrum

Gallavotti, Giovanni

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p. 365-383

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Translation invariant equilibrium states of ferromagnetic abelian lattice systems

Pfister, Charles Edouard

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p. 375-390

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Spectral behavior of quasiperiodic potentials

Sarnak, P.

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p. 377-401

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Three body asymptotic completeness for $P(\Phi)_{2}$ models

Combescure, Monique ; Dunlop, François

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p. 381-418

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Bounds on the decay of correlations for $\lambda (\nabla \varphi)^{4}$ models

Fontaine, Jean-Raymond

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p. 385-394

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On the massive sine-Gordon equation in the first few regions of collapse

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

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p. 387-410

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Calculation of norms of Bethe wave functions

Korepin, V. E.

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p. 391-418

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The unpredictability of quantum gravity

Hawking, S. W.

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p. 395-415

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The rotation number for almost periodic potentials

Johnson, R. ; Moser, J.

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p. 403-438

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Massless phases and symmetry restoration in abelian gauge theories and spin systems

Fröhlich, Jürg ; Spencer, Thomas

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p. 411-454

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Infrared bounds and the Peierls argument in two dimensions

Bricmont, Jean ; Fontaine, Jean-Raymond

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p. 417-427

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The scattering of spin-$1$ particles by quantum gravitational bubbles

Warner, N. P.

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p. 419-436

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Ergodic properties of a system in contact with a heat bath: a one-dimensional model

Goldstein, S. ; Lebowitz, J. L. ; Ravishankar, K.

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p. 419-427

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A relation between local and total energy in general relativity

Horowitz, Gary T. ; Tod, Paul

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p. 429-447

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Exponential bounds and absence of positive eigenvalues for $N$-body Schrödinger operators

Froese, Richard ; Herbst, Ira

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p. 429-447

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Deformations of the embedding of the ${\rm SU}(2)$ monopole solution in ${\rm SU}(3)$

Ward, R. S.

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p. 437-448

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Derivations vanishing on $S(\infty)$

Powers, Robert T. ; Price, Geoffrey

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p. 439-447

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Symmetric random walks in random environments

Anshelevich, V. V. ; Khanin, K. M. ; Sina\u{\i}, Ya. G.

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p. 449-470

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On the convergence of planar diagram expansions

't Hooft, Gerard

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p. 449-464

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On generalizations of the KMS-boundary condition

Cohen, J. S. ; Daniëls, H. A. M. ; Winnink, M.

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p. 449-458

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Gaussian ensembles of random Hermitian matrices intermediate between orthogonal and unitary ones

Pandey, A. ; Mehta, M. L.

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p. 449-468

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On Edwards' model for polymer chains. III. Borel summability

Westwater, John

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p. 459-470

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Nonuniqueness of solutions of Percival's Euler-Lagrange equation

Mather, John N.

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p. 465-473

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From the Euclidean group to the Poincaré group via Osterwalder-Schrader positivity

Klein, Abel ; Landau, Lawrence J.

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p. 469-484

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General solutions of nonlinear equations in the geometric theory of the relativistic string

Barbashov, B. M. ; Nesterenko, V. V. ; Chervyakov, A. M.

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p. 471-481

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The twisting trick for double well Hamiltonians

Davies, E. B.

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p. 471-479

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Asymptotic behaviour of the Boltzmann equation with infinite range forces

Arkeryd, Leif

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p. 475-484

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A proof of the Nielsen-Ninomiya theorem

Friedan, D.

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p. 481-490

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Hydrodynamics in two dimensions and vortex theory

Marchioro, C. ; Pulvirenti, M.

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p. 483-503

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On multimeron solutions of the Yang-Mills equations

Caffarelli, L. ; Gidas, B. ; Spruck, J.

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p. 485-495

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The existence of constant mean curvature foliations of Gowdy $3$-torus spacetimes

Isenberg, James ; Moncrief, Vincent

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p. 485-493

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Decay of correlations in the one-dimensional Ising model with $J_{ij}=\mid i-j\mid^{-2}$

Imbrie, John Z.

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p. 491-515

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Analyticity properties of the weakly coupled double-well model

Klöckner, K. ; Ströter, B.

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p. 495-508

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Non-translation-invariant states in two dimensions

Shlosman, S. B.

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p. 497-504

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Representations obeying the spectrum condition

Doplicher, Sergio ; Spera, Mauro

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p. 505-513

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Symplectic structures, Lagrangian, and involutiveness of first integrals of the principal chiral field equation

Dickey, L. A.

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p. 505-513

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Multi-instantons localized at the origin

Brihaye, Yves

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p. 509-514

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Path integration for velocity-dependent potentials

Nelson, Bruce ; Sheeks, Benny

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p. 515-530

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Debye screening for jellium and other Coulomb systems

Imbrie, John Z.

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p. 515-565

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A direct method for minimizing the Yang-Mills functional over $4$-manifolds

Sedlacek, Steven

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p. 515-527

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Decay of correlations for infinite range interactions in unbounded spin systems

Cammarota, Camillo

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p. 517-528

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Some results for ${\rm SU}(N)$ gauge-fields on the hypertorus

van Baal, Pierre

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p. 529-547

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Measures on projections and physical states

Christensen, Erik

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p. 529-538

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Borel summability for a nonpolynomial potential

Auberson, G.

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p. 531-546

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The probability of intersection of independent random walks in four dimensions

Lawler, Gregory F.

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p. 539-554

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Asymptotic behaviour of particle motion under repulsive forces

Galperin, G.

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p. 547-556

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Orbital stability of standing waves for some nonlinear Schrödinger equations

Cazenave, T. ; Lions, P.-L.

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p. 549-561

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(Higgs)$_{2,\,3}$ quantum fields in a finite volume. II. An upper bound

Bałaban, Tadeusz

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p. 555-594

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Construction of non-Gaussian self-similar random fields with hierarchical structure

Bleher, P. M.

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p. 557-578

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Gauge theories on four-dimensional Riemannian manifolds

Parker, Thomas H.

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p. 563-602

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Nonlinear Schrödinger equations and sharp interpolation estimates

Weinstein, Michael I.

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p. 567-576

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Thermodynamics of black holes in anti-de Sitter space

Hawking, S. W. ; Page, Don N.

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p. 577-588

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Some remarks on BRS transformations, anomalies and the cohomology of the Lie algebra of the group of gauge transformations

Bonora, L. ; Cotta-Ramusino, P.

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p. 589-603

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(Higgs)$_{2,3}$ quantum fields in a finite volume. I. A lower bound

Bałaban, Tadeusz

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p. 603-626

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