Sommaire du Fascicule no. 1

Erratum: ``Quantum detailed balance and KMS condition''

Kossakowski, A. ; Frigerio, A. ; Gorini, V. ; Verri, M.

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Erratum: ``Enveloping subspaces and superposition of states''

Cantoni, V.

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Erratum: ``On resonant nonlinearly coupled oscillators with two equal frequencies''

Kummer, M.

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Comments on Mielnik's generalized (non linear) quantum mechanics

Haag, Rudolf ; Bannier, Ulrich

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p. 1-6

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On the pairing of polarizations

Rawnsley, J. H.

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p. 1-8

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Stable vector bundles and instantons

Hartshorne, Robin

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p. 1-15

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Phase transitions and reflection positivity. I. General theory and long range lattice models

Fröhlich, Jürg ; Israel, Robert ; Lieb, Elliott H. ; Simon, Barry

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p. 1-34

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Pointwise bounds on eigenfunctions and wave packets in $N$-body quantum systems. IV

Deift, P. ; Hunziker, W. ; Simon, B. ; Vock, E.

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p. 1-34

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On a class of polynomials connected with the Korteweg-de Vries equation

Adler, M. ; Moser, J.

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p. 1-30

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Some remarks on the Gribov ambiguity

Singer, I. M.

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p. 7-12

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Power spectra of nonlinearly coupled waves

Sherman, J. ; McLaughlin, J.

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p. 9-18

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Singular continuous measures in scattering theory

Pearson, D. B.

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p. 13-36

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Odd operators and spinor algebras in lattice statistics: $n$-point functions for the rectangular Ising model

Abraham, D. B.

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p. 17-34

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Correlation inequalities and uniqueness of the equilibrium state for the plane rotator ferromagnetic model

Messager, A. ; Miracle-Sole, S. ; Pfister, C.

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p. 19-29

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On the prosaic origin of the double poles in the sine-Gordon $S$-matrix

Coleman, Sidney ; Thun, H. J.

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p. 31-39

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Integrability of the classical $[\overline \psi_{i}\psi_{i}]^{2}_{2}$ and $[\overline \psi_{i}\psi_{i}]^{2}_{2}- [\overline \psi_{i}\gamma_{5}\psi_{i}]^{2}_{2}$ interactions

Neveu, A. ; Papanicolaou, N.

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p. 31-64

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Planar diagrams

Brézin, E. ; Itzykson, C. ; Parisi, G. ; Zuber, J. B.

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p. 35-51

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Occurrence of strange Axiom A attractors near quasiperiodic flows on $T^{m}$,$\,m\geq 3$

Newhouse, S. ; Ruelle, D. ; Takens, F.

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p. 35-40

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Proof of an entropy conjecture of Wehrl

Lieb, Elliott H.

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p. 35-41

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Soliton mass and surface tension in the $(\lambda \mid \phi \mid^{4})_{2}$ quantum field model

Béllissard, J. ; Fröhlich, J. ; Gidas, B.

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p. 37-72

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The Navier-Stokes equations in space dimension four

Scheffer, Vladimir

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p. 41-68

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Ground states of quantum spin systems

Bratteli, Ola ; Kishimoto, Akitaka ; Robinson, Derek W.

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p. 41-48

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Construction of the affine Lie algebra $A_{1}^{{}}(1)$

Lepowsky, James ; Wilson, Robert Lee

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p. 43-53

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Absence of symmetry breakdown and uniqueness of the vacuum for multicomponent field theories

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

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p. 49-72

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Analyticity and clustering properties of unbounded spin systems

Kunz, H.

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p. 53-69

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Linear spin-zero quantum fields in external gravitational and scalar fields. I. A one particle structure for the stationary case

Kay, Bernard S.

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p. 55-70

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The Boltzmann equation. I. Uniqueness and local existence

Kaniel, Shmuel ; Shinbrot, Marvin

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p. 65-84

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Moufang plane and octonionic quantum mechanics

Günaydin, M. ; Piron, C. ; Ruegg, H.

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p. 69-85

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An inequality for fermion-systems

Nicolai, H.

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p. 71-78

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Dissipations on von Neumann algebras

Thompson, C. W.

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p. 71-78

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Relativistic models of nonlinear quantum mechanics

Kibble, T. W. B.

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p. 73-82

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On the rate of asymptotic eigenvalue degeneracy

Harrell, Evans M.

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p. 73-95

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Unbounded derivations and invariant states

Bratteli, Ola ; Haagerup, Uffe

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p. 79-95

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A lower bound for the mass of a random Gaussian lattice

Brydges, David ; Federbush, Paul

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p. 79-82

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Resonances in Stark effect and perturbation theory

Graffi, Sandro ; Grecchi, Vincenzo

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p. 83-96

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Frobenius theory for positive maps of von Neumann algebras

Albeverio, Sergio ; Høegh-Krohn, Raphael

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p. 83-94

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On resonant classical Hamiltonians with two equal frequencies

Kummer, Martin

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p. 85-112

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On determination of Cauchy surfaces from intrinsic properties

Budic, Robert ; Isenberg, James ; Lindblom, Lee ; Yasskin, Philip B.

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p. 87-95

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Time-ordered products and Schwinger functions

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

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p. 95-130

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Existence of conserved currents in the perturbative sine-Gordon and massive Thirring models

Lowenstein, J. H. ; Speer, E. R.

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p. 97-112

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A study of Feynman integrals by micro-differential equations

Kashiwara, Masaki ; Kawai, Takahiro ; Ōshima, Toshio

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p. 97-130

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Pointwise bounds for Schrödinger eigenstates

Carmona, René

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p. 97-106

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Topological aspects of Yang-Mills theory

Atiyah, M. F. ; Jones, J. D. S.

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p. 97-118

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On the equivalence of different order parameters and coexistence of phases for Ising ferromagnet. II

Gruber, C. ; Lebowitz, J. L.

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p. 97-108

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The Klein-Gordon equation with light-cone data

Lundberg, Lars-Erik

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p. 107-118

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Properties of certain matrices related to the equilibrium configuration of the one-dimensional many-body problems with the pair potentials $V_{1}(x)=-{}{\rm log}\,{\rm sin}$ $x$ and $V_{2}(x)=1/{\rm sin}^{2}x$

Calogero, F. ; Perelomov, A. M.

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p. 109-116

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On trace representation of linear functionals on unbounded operator algebras

Schmüdgen, Konrad

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p. 113-130

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Selfadjointness of the Liouville operator for infinite classical systems

Marchioro, C. ; Pellegrinotti, A. ; Pulvirenti, M.

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p. 113-129

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Existence of three phases for a $P(\phi)_{2}$ model of quantum field

Gaw\polhk{e}dzki, K.

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p. 117-142

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Fluid dynamical limit of the nonlinear Boltzmann equation to the level of the compressible Euler equation

Nishida, Takaaki

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p. 119-148

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Limit Gibbs state for some classes of one-dimensional systems of quantum statistical mechanics

Suhov, Yuri M.

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p. 119-136

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The high density limit for lattice spin models

Pearce, Paul A. ; Thompson, Colin J.

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p. 131-138

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Models of Gross-Neveu type are quantization of a classical mechanics with nonlinear phase space

Berezin, F. A.

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p. 131-153

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On the analyticity in the potential in classical statistical mechanics

Iagolnitzer, D. ; Souillard, B.

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p. 131-152

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Uniform cluster estimates for lattice models

Malyshev, V. A.

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p. 131-157

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A theorem on asymptotic expansion of Feynman amplitudes

Bergère, M. C. ; de Calan, C. ; Malbouisson, A. P. C.

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p. 137-158

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On the characterization of relativistic quantum field theories in terms of finitely many vacuum expectation values. I

Brüning, Erwin

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p. 139-166

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Some probabilistic techniques in field theory

Benfatto, G. ; Cassandro, M. ; Gallavotti, G. ; Nicolò, F. ; Olivieri, E. ; Presutti, E. ; Scacciatelli, E.

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p. 143-166

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Local decay of scattering solutions to Schrödinger's equation

Rauch, Jeffrey

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p. 149-168

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The Onsager-Machlup function as Lagrangian for the most probable path of a diffusion process

Dürr, Detlef ; Bach, Alexander

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p. 153-170

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Conservation laws for classes of nonlinear evolution equations solvable by the spectral transform

Calogero, F. ; Degasperis, A.

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p. 155-176

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Signal propagation in lattice models of quantum many-body systems

Radin, Charles

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p. 159-166

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A five-dimensional truncation of the plane incompressible Navier-Stokes equations

Boldrighini, Carlo ; Franceschini, Valter

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p. 159-170

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Perturbations of flows on Banach spaces and operator algebras

Bratteli, Ola ; Herman, Richard H. ; Robinson, Derek W.

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p. 167-196

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Generators of semigroups of completely positive maps

Christensen, Eric

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p. 167-171

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On the characterization of relativistic quantum field theories in terms of finitely many vacuum expectation values. II

Brüning, Erwin

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p. 167-194

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A uniform lower bound on the renormalized scalar Euclidean functional determinant

Schrader, R. ; Seiler, R.

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p. 169-175

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Causality criteria

Krotscheck, Eckhard ; Kundt, Wolfgang

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p. 171-180

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Characterization and uniqueness of distinguished selfadjoint extensions of Dirac operators

Klaus, M. ; Wüst, R.

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p. 171-176

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The cohomology of nets over Minkowski space

Leyland, P. ; Roberts, J. E.

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p. 173-189

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Quark confinement in the two-dimensional lattice Higgs-Villain model

Israel, Robert B. ; Nappi, Chiara R.

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p. 177-189

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A description of instantons

Drinfeld, V. G. ; Manin, Yu. I.

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p. 177-192

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Peierls condition and number of ground states

Holsztyński, W. ; Slawny, J.

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p. 177-190

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Pair function for the rectangular Ising ferromagnet

Abraham, D. B.

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p. 181-191

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Homogeneous perturbed classical states and equilibrium conditions

Demoen, B. ; Verbeure, A.

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p. 191-200

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Correlation-function identities and inequalities for Ising models with pair interactions

Boel, R. J. ; Kasteleyn, P. W.

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p. 191-208

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A generalized Lorenz system

Curry, James H.

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p. 193-204

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The positivity of the pressure in Thomas-Fermi theory

Benguria, R. ; Lieb, E. H.

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p. 193-218

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On the zeros of absorptive diffraction cross sections

Maharana, Jnanadeva

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p. 195-203

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Bounds on the number of eigenvalues of the Schrödinger operator

Glaser, V. ; Grosse, H. ; Martin, A.

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p. 197-212

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On the discrete spectrum of the $N$-body quantum mechanical Hamiltonian. I

Iório, Rafael José

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p. 201-212

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$N$ body scattering in the two-cluster region

Simon, Barry

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p. 205-210

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$n$-point functions for the rectangular Ising ferromagnet

Abraham, D. B.

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p. 205-213

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Stability properties and the KMS condition

Bratelli, Ola ; Kishimoto, Akitaka ; Robinson, Derek W.

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p. 209-238

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Action minima among solutions to a class of Euclidean scalar field equations

Coleman, S. ; Glaser, V. ; Martin, A.

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p. 211-221

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Axial anomalies and index theorems on open spaces

Callias, Constantine

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p. 213-234

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The particle structure of $\nu $-dimensional Ising models at low temperatures

Schor, Ricardo Schwartz

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p. 213-233

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The canonical variables, the symplectic structure and the initial value formulation of the generalized Einstein-Cartan theory of gravity

Szczyrba, Wiktor

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p. 215-232

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A uniqueness theorem for anticommutation relations and commutation relations of quantum spin systems

Combe, P. ; Rodriguez, R. ; Sirugue-Collin, M. ; Sirugue, M.

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p. 219-235

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The construction of self-dual solutions to ${\rm SU}(2)$ gauge theory

Corrigan, E. F. ; Fairlie, D. B. ; Yates, R. G. ; Goddard, P.

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p. 223-240

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Phase transitions in anisotropic lattice spin systems

Fröhlich, Jürg ; Lieb, Elliott H.

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p. 233-267

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Some remarks on the paper of Callias: ``Axial anomalies and index theorems on open spaces''

Bott, R. ; Seeley, R.

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p. 235-245

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Correlation inequalities and the thermodynamic limit for classical and quantum continuous systems

Fröhlich, Jürg ; Park, Yong Moon

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p. 235-266

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Instantons and Kåhler manifolds

Perelomov, A. M.

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p. 237-242

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${\bf C}P^{2}$ as a gravitational instanton

Gibbons, G. W. ; Pope, C. N.

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p. 239-248

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Generating functions for the affine symplectic group

Burdet, G. ; Perrin, M. ; Perroud, M.

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p. 241-254

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Ergosphere instability

Friedman, John L.

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p. 243-255

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Generic instability of rotating relativistic stars

Friedman, John L.

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p. 247-278

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Characteristic exponents and strange attractors

Feit, Sidnie Dresher

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p. 249-260

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Occurrence of whimper singularities

Siklos, S. T. C.

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p. 255-272

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Singularity structure of the two-point function quantum field theory in curved spacetime

Fulling, Stephen A. ; Sweeny, Mark ; Wald, Robert M.

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p. 257-264

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Unbounded derivations of commutative $C^*$-algebras

Batty, C. J. K.

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p. 261-266

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Cantoni's generalized transition probability

Gudder, Stanley P.

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p. 265-267

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Remarks on the modular operator and local observables

Rigotti, Carlo

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p. 267-273

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On the irreducible representations of groups that contain a subgroup of index $2$

Mutze, U.

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p. 267-271

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Two-soliton solutions of relativistic field equations

Steinmann, O.

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p. 269-276

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Stationary states of quantum dynamical semigroups

Frigerio, Alberto

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p. 269-276

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Decomposable differential operators in a cosmological context

Maartens, R. ; Nel, S. D.

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p. 273-283

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Passive states and KMS states for general quantum systems

Pusz, W. ; Woronowicz, S. L.

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p. 273-290

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The $\varphi^{4}_{2}$ quantum field as a limit of sine-Gordon fields

McBryan, Oliver A.

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p. 275-284

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The Lorentz process converges to a random flight process

Spohn, Herbert

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p. 277-290

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Scattering theory for systems with different spatial asymptotics on the left and right

Davies, E. B. ; Simon, B.

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p. 277-301

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Conditional equilibrium and the equivalence of microcanonical and grandcanonical ensembles in the thermodynamic limit

Aizenman, Michael ; Goldstein, Sheldon ; Lebowitz, Joel L.

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p. 279-302

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Separable coordinates for four-dimensional Riemannian spaces

Boyer, C. P. ; Kalnins, E. G. ; Miller, Willard

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p. 285-302

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Asymptotic completeness for quantum mechanical potential scattering. I. Short range potentials

Enss, Volker

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p. 285-291

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The singular holonomy group

Clarke, C. J. S.

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p. 291-297

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The unified approach to spectral analysis

Weder, R.

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p. 291-299

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Some limit theorems for random fields

Neaderhouser, Carla C.

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p. 293-305

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Towards a constructive approach of a gauge invariant, massive $P(\phi)_{2}$ theory

Schrader, Robert

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p. 299-312

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A rigorous approach to Debye screening in dilute classical Coulomb systems

Brydges, David C.

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p. 313-350

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