Sommaire du Fascicule no. 1

Erratum: ``On the four-valuedness of twistors''

Clarke, C. J. S.

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Are there geon analogues in sourceless gauge-field theories?

Coleman, Sidney ; Smarr, Larry

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p. 1-10

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The back reaction effect in particle creation in curved spacetime

Wald, Robert M.

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p. 1-19

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All unitary ray representations of the conformal group ${\rm SU}(2, 2)$ with positive energy

Mack, G.

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p. 1-28

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The pole-factorization theorem in $S$-matrix theory

Iagolnitzer, Daniel ; Stapp, Henry P.

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p. 1-30

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Two Bianchi type VIII spatially homogeneous cosmologies

Miller, J. G.

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p. 1-10

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Mixing properties in lattice systems

Hegerfeldt, Gerhard C. ; Nappi, Chiara R.

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p. 1-7

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Asymptotic behavior of solutions to certain nonlinear Schrödinger-Hartree equations

Glassey, R. T.

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p. 9-18

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Wall and boundary free energies. I. Ferromagnetic scalar spin systems

Fisher, Michael E. ; Caginalp, Gunduz

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p. 11-56

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Dimensional renormalization and the action principle

Breitenlohner, P. ; Maison, D.

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p. 11-38

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The cluster expansion for potentials with exponential fall-off

Brydges, David ; Federbush, Paul

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p. 19-30

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Relative entropy and the Wigner-Yanase-Dyson-Lieb concavity in an interpolation theory

Uhlmann, A.

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p. 21-32

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Free energy in spin-flip processes is non-increasing

Ollagnier, Jean Moulin ; Pinchon, Didier

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p. 29-36

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The energy-momentum spectrum in the Yukawa$_{2}$ quantum field theory

Heifets, Edward P. ; Osipov, Edward P.

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p. 31-50

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A sketch of Lie superalgebra theory

Kac, V. G.

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p. 31-64

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Analyticity properties and many-particle structure in general quantum field theory. III. Two-particle irreducibility in a single channel

Bros, J. ; Lassalle, M.

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p. 33-62

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In one and two dimensions, every stationary measure for a stochastic Ising model is a Gibbs state

Holley, R. A. ; Stroock, D. W.

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p. 37-45

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Dimensionally renormalized Green's functions for theories with massless particles. I

Breitenlohner, P. ; Maison, D.

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p. 39-54

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Applications conservant une mesure absolument continue par rapport à $dx$ sur $[0,1]$

Ruelle, D.

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p. 47-51

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The non-relativistic limit of $P(\phi)_{2}$ quantum field theories: two-particle phenomena

Dimock, J.

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p. 51-66

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${\rm KMS}$ conditions and local thermodynamical stability of quantum lattice systems. II

Sewell, Geoffrey L.

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p. 53-61

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Dimensionally renormalized Green's functions for theories with massless particles. II

Breitenlohner, P. ; Maison, D.

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p. 55-75

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Spontaneous symmetry breaking in local gauge quantum field theory; the Higgs mechanism

Strocchi, F.

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p. 57-78

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Metastable states of quantum lattice systems

Sewell, Geoffrey L.

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p. 63-66

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Coherent state representations of nilpotent Lie groups

Moscovici, Henri

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p. 63-68

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Hilbert space sectors for solutions of non-linear relativistic field equations

Parenti, C. ; Strocchi, F. ; Velo, G.

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p. 65-96

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The $\epsilon $-expansion for the hierarchical model

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

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p. 67-96

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Non-equilibrium dynamics of two-dimensional infinite particle systems with a singular interaction

Fritz, J. ; Dobrushin, R. L.

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p. 67-81

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The dynamical instability of nonrelativistic many-body systems

Radin, Charles

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p. 69-79

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Induced representations, reproducing kernels and the conformal group

Carey, A. L.

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p. 77-101

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On symmetric gauge fields

Schwarz, A. S.

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p. 79-86

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Stationary solutions of the Bogoliubov hierarchy equations in classical statistical mechanics. II

Gurevich, B. M. ; Suhov, Iu. M.

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p. 81-96

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The existence of non-trivial asymptotically flat initial data for vacuum spacetimes

Cantor, Murray

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p. 83-96

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Energy spectrum of extremal invariant states

Herman, Richard H. ; Kastler, Daniel

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p. 87-90

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A note on the inverse scattering problem in quantum field theory

Buchholz, Detlev ; Fredenhagen, Klaus

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p. 91-99

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Hausdorff measure and the Navier-Stokes equations

Scheffer, Vladimir

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p. 97-112

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Quantum detailed balance and KMS condition

Kossakowski, Andrzej ; Frigerio, Alberto ; Gorini, Vittorio ; Verri, Maurizio

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p. 97-110

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Extension of KMS states and chemical potential

Araki, Huzihiro ; Kastler, Daniel ; Takesaki, Masamichi ; Haag, Rudolf

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p. 97-134

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Stationary non-equilibrium states of infinite harmonic systems

Spohn, Herbert ; Lebowitz, Joel L.

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p. 97-120

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The Vlasov dynamics and its fluctuations in the $1/N$ limit of interacting classical particles

Braun, W. ; Hepp, K.

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p. 101-113

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${\rm KMS}$ conditions and local thermodynamical stability of quantum lattice systems

Araki, Huzihiro ; Sewell, Geoffrey L.

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p. 103-109

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Connection between the spectrum condition and the Lorentz invariance of the Yukawa$_{2}$ quantum field theory

Osipov, Edward P.

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p. 111-116

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First and second quantised neutron diffusion equations

Davies, E. B.

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p. 111-126

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There are no classical glueballs

Coleman, Sidney

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p. 113-116

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A classification of ${\rm SU}_{3}$ magnetic monopoles

Madore, J.

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p. 115-123

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Instantons and algebraic geometry

Atiyah, M. F. ; Ward, R. S.

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p. 117-124

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The Dirac operator with highly singular potentials

Pearson, D. B.

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p. 117-133

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Holonomic character and local monodromy structure of Feynman integrals

Kashiwara, Masaki ; Kawai, Takahiro

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p. 121-134

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Correlation inequalities and equilibrium states

Fannes, M. ; Verbeure, A.

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p. 125-131

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The application of Dewitt-Morette path integrals to general relativity

Clarke, C. J. S.

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p. 125-146

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Decomposition of many-body Schrödinger operators

Balslev, E.

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p. 127-146

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Zeta function regularization of path integrals in curved spacetime

Hawking, S. W.

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p. 133-148

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The deterministic version of the Glimm scheme

Liu, Tai Ping

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p. 135-148

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Application of commutator theorems to the integration of representations of Lie algebras and commutation relations

Fröhlich, J.

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p. 135-150

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Trace states and KMS states for approximately inner dynamical one-parameter groups of *-automorphisms

Jørgensen, Palle E. T.

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p. 135-142

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A stronger version of Bogoliubov's inequality and the Heisenberg model

Roepstorff, G.

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p. 143-150

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On the uniqueness of the invariant equilibrium state and surface tension

Gruber, C. ; Hintermann, A. ; Messager, A. ; Miracle-Sole, S.

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p. 147-160

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Collision theory for massless bosons

Buchholz, Detlev

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p. 147-173

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Existence of solitary waves in higher dimensions

Strauss, Walter A.

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p. 149-162

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Causality, localizability, and holomorphically convex hulls

Fainberg, V. Ya. ; Soloviev, M. A.

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p. 149-159

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Scattering theory and quadratic forms: on a theorem of Schechter

Simon, B.

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p. 151-153

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A generalization of the classical moment problem on $^*$-algebras with applications to relativistic quantum theory. II

Dubois-Violette, Michel

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p. 151-172

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Convergence of operator product expansions on the vacuum in conformal invariant quantum field theory

Mack, G.

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p. 155-184

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The energy-momentum spectrum in the $P(\varphi)_{2}$ quantum field theory

Heifets, Edward P. ; Osipov, Edward P.

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p. 161-172

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Absence of classical lumps

Weder, R.

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p. 161-164

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Large-time behavior of solutions of initial and initial-boundary value problems of a general system of hyperbolic conservation laws

Liu, Tai Ping

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p. 163-177

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Correlation inequalities and equilibrium states. II

Fannes, M. ; Verbeure, A.

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p. 165-171

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The central limit theorem and the problem of equivalence of ensembles

Dobrushin, R. L. ; Tirozzi, Brunello

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p. 173-192

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Dirichlet forms and Markov semigroups on $C^*$-algebras

Albeverio, Sergio ; Høegh-Krohn, Raphael

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p. 173-187

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Simple $C^*$-algebras generated by isometries

Cuntz, Joachim

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p. 173-185

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On the $\zeta $-function of a one-dimensional classical system of hard-rods

Mayer, D. H. ; Viswanathan, K. S.

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p. 175-189

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Some global properties of massless free fields

Lerner, David E. ; Clarke, C. J. S.

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p. 179-182

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Note: Exact two-particle $S$-matrix of quantum Sine-Gordon solitons

Zamolodchikov, A. B.

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p. 183-186

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The Hartree-Fock theory for Coulomb systems

Lieb, Elliott H. ; Simon, Barry

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p. 185-194

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Amenability of crossed products of $C^*$-algebras

Rosenberg, Jonathan

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p. 187-191

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The Riemannian structure on the states of quantum-like systems

Cantoni, Vittorio

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p. 189-193

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Duality for dual covariance algebras

Landstad, Magnus B.

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p. 191-202

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On the convergence of exponential operators---the Zassenhaus formula, BCH formula and systematic approximants

Suzuki, Masuo

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p. 193-200

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A heuristic theory of phase transitions

Ruelle, David

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p. 195-208

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Instantons in a $U(1)$ lattice gauge theory: a Coulomb dipole gas

Glimm, James ; Jaffe, Arthur

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p. 195-212

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Scalar quantum electrodynamics on the lattice as classical statistical mechanics

De Angelis, Gian Fabrizio ; de Falco, Diego ; Guerra, Francesco

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p. 201-212

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Critical exponents and elementary particles

Glimm, J. ; Jaffe, A.

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p. 203-209

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On the equivalence between KMS-states and equilibrium states for classical systems

Aizenman, Michael ; Goldstein, Sheldon ; Gruber, Christian ; Lebowitz, Joel L. ; Martin, Philippe A.

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p. 209-220

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Symmetry and equilibrium states

Araki, Huzihiro ; Kishimoto, Akitaka

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p. 211-232

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Causal logic of Minkowski space

Cegła, W. ; Jadczyk, A. Z.

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p. 213-217

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Stability properties of equilibrium states

Haag, Rudolf ; Trych-Pohlmeyer, Ewa

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p. 213-224

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On the existence of crossing symmetric and unitary scattering amplitudes with Regge poles

Kupsch, J.

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p. 219-233

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Inequalities on the number of bound states in oscillating potentials

Chadan, K. ; Martin, A.

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p. 221-231

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Stationary solutions of the Bogoliubov hierarchy equations in classical statistical mechanics. III

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

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p. 225-236

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A note on Hunziker's theorem

Enss, Volker

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p. 233-238

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Infinitesimal discontinuities in initially stressed relativistic elastic solids

Maugin, Gérard A.

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p. 233-256

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Strong coupling in the quantum field theory with nonlocal nonpolynomial interaction

Efimov, G. V.

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p. 235-258

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Phase space cell expansion and Borel summability for the Euclidean $\phi_{3}^{4}$ theory

Magnen, J. ; Sénéor, R.

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p. 237-276

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Spectral and scattering theory of Schrödinger operators related to the Stark effect

Avron, J. E. ; Herbst, I. W.

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p. 239-254

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Implementation of automorphisms and derivations of the ${\rm CAR}$-algebra

Fredenhagen, Klaus

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p. 255-266

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The critical behavior of $\phi^{4}_{1}$

Isaacson, David

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p. 257-275

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Correlation inequalities for Ising ferromagnets with symmetries

Hegerfeldt, Gerhard C.

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p. 259-266

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Charged particles in external fields. II. The quantized Dirac and Klein-Gordon theories

Ruijsenaars, S. N. M.

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p. 267-294

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A comment on the symmetries of Kerr black holes

Collinson, C. D. ; Smith, P. N.

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p. 277-279

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Schrödinger operators with $L^{p}_{{\rm loc}}$-potentials

Semenov, Yu. A.

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p. 277-284

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On the uniqueness of the equilibrium state for plane rotators

Bricmont, J. ; Fontaine, J. R. ; Landau, L. J.

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p. 281-296

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Spectral theory of the operator $(p^{2}+m^{2})^{1/2}-Ze^{2}/r$

Herbst, Ira W.

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p. 285-294

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On the type of local algebras in quantum field theory

Driessler, W.

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p. 295-297

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Two-dimensional neutral Coulomb gas

Gunson, J. ; Panta, L. S.

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p. 295-304

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Pressure and variational principle for random Ising model

Ledrappier, F.

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p. 297-302

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On the decay of correlations in ${\rm SO}(n)$-symmetric ferromagnets

McBryan, Oliver A. ; Spencer, Thomas

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p. 299-302

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