Sommaire du Fascicule no. 1

Erratum: ``Statistical mechanics of systems of unbounded spins''

Lebowitz, Joel L. ; Presutti, Errico

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Erratum: ``The positivity of the pressure in Thomas-Fermi theory''

Benguria, R. ; Lieb, E. H.

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Self-dual space-times with cosmological constant

Ward, R. S.

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p. 1-17

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The Navier-Stokes equations on a bounded domain

Scheffer, Vladimir

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p. 1-42

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Nonlinear dynamics of the infinite classical Heisenberg model: existence proof and classical limit of the corresponding quantum time evolution

Vuillermot, Pierre-A.

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p. 1-26

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On a characterization of the state space of quantum mechanics

Araki, Huzihiro

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p. 1-24

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Continuation of partial-wave two-cluster atomic scattering amplitudes

Nuttall, J. ; Singh, S. R.

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p. 1-13

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Equilibrium states of gravitational systems

Narnhofer, Heide ; Sewell, Geoffrey L.

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p. 1-28

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Space-time symmetries in gauge theories

Forgåcs, P. ; Manton, N. S.

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p. 15-35

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A limit theorem for stochastic acceleration

Kesten, H. ; Papanicolaou, G. C.

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p. 19-63

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Classical bounds on quantum partition functions

Baumgartner, Bernhard

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p. 25-41

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``Time inversion'' and mobility of many-particle systems

Waniewski, Jacek

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p. 27-37

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Linear spin-zero quantum fields in external gravitational and scalar fields. II. Generally covariant perturbation theory

Kay, Bernard S.

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p. 29-46

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On the Lagrangian theory of anti-self-dual fields in four-dimensional Euclidean space

Pohlmeyer, K.

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p. 37-47

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The renormalization group of the model of $A^{4}$-coupling in the abstract quantum field theory

Zimmermann, Wolfhart

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p. 39-64

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Spectral and scattering theory for a class of strongly oscillating potentials

Combescure, Monique

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p. 43-62

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Abelian faces of state spaces of $C^{^*}$-algebras

Batty, C. J. K.

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p. 43-50

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Integral decomposition of unbounded operator families

Debacker-Mathot, F.

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p. 47-58

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On a normal form of symmetric maps of $[0,\,1]$

Rüssmann, H. ; Zehnder, E.

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p. 49-53

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Perturbation theory of odd anharmonic oscillators

Caliceti, E. ; Graffi, S. ; Maioli, M.

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p. 51-66

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Equilibrium states for a plane incompressible perfect fluid

Boldrighini, Carlo ; Frigio, Sandro

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p. 55-76

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On the relation between classical and quantum observables

Ashtekar, Abhay

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p. 59-64

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A characterization of Markovian homogeneous multicomponent Gaussian fields

Ekhaguere, G. O. S.

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p. 63-77

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Differentiability properties of the pressure in lattice systems

Daniëls, H. A. M. ; van Enter, A. C. D.

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p. 65-76

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Application of Dobrushin's uniqueness theorem to $N$-vector models

Levin, Steven L.

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p. 65-74

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Monodromy- and spectrum-preserving deformations. I

Flaschka, Hermann ; Newell, Alan C.

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p. 65-116

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Positivity and monotonicity properties of $C_{0}$-semigroups. I

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

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p. 67-84

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Proof of a multipole conjecture due to Geroch

Beig, R. ; Simon, W.

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p. 75-82

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Semiclassical quantum mechanics. I. The $\hbar \rightarrow 0$ limit for coherent states

Hagedorn, G. A.

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p. 77-93

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Local theory of solutions for the ${\rm O}(2k+1)$ $\sigma $-model

Borchers, H.-J. ; Garber, W. D.

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p. 77-102

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Boundedness of total cross-sections in potential scattering. II

Martin, A.

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p. 79-81

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Gravitating fermions in an infinite configuration space

Pflug, A.

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p. 83-98

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Translation invariance and instability of phase coexistence in the two-dimensional Ising system

Aizenman, Michael

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p. 83-94

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Positivity and monotonicity properties of $C_{0}$-semigroups. II

Kishimoto, Akitaka ; Robinson, Derek W.

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p. 85-101

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The operators governing quantum fluctuations of Yang-Mills multi-instantons on $S^{4}$ and their Seeley coefficients

Daniel, M.

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p. 95-98

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Ultraviolet stability in Euclidean scalar field theories

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

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p. 95-130

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Structure of Gibbs states of one-dimensional Coulomb systems

Aizenman, Michael ; Martin, Philippe A.

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p. 99-116

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The ground state energy per particle for infinite particle quantum systems

Isaacson, D.

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p. 99-104

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Generalized Spin structures on four-dimensional space-times

Avis, S. J. ; Isham, C. J.

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p. 103-118

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A connection between $\nu $-dimensional Yang-Mills theory and $(\nu-1)$-dimensional, nonlinear $\sigma $-models

Durhuus, B. ; Fröhlich, J.

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p. 103-151

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The Ginibre inequality

Sylvester, Garrett S.

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p. 105-114

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Correlation inequalities and the decay of correlations in ferromagnets

Simon, Barry

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p. 111-126

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On the abundance of aperiodic behaviour for maps on the interval

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

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p. 115-160

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Low temperature expansion for continuous-spin Ising models

Bricmont, J. ; Lebowitz, J. L. ; Pfister, C. E.

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p. 117-135

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On the adiabatic limit for Dirac particles in external fields

Nenciu, G.

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p. 117-128

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Constellations and projective classical groups

Bacry, H.

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p. 119-130

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A refinement of Simon's correlation inequality

Lieb, Elliott H.

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p. 127-135

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Conservation laws in the quantum version of $N$-positional Potts model

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

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p. 129-141

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Collapse postulate for observables with continuous spectra

Srinivas, M. D.

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p. 131-158

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On Edwards' model for long polymer chains

Westwater, M. J.

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p. 131-174

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Local Ward identities and the decay of correlations in ferromagnets

Aizenman, Michael ; Simon, Barry

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p. 137-143

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The field copy problem: to what extent do curvature (gauge field) and its covariant derivatives determine connection (gauge potential)?

Mostow, Mark A.

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p. 137-150

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An inequality for trace ideals

van Hemmen, J. L. ; Ando, T.

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p. 143-148

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Lieb's correlation inequality for plane rotors

Rivasseau, V.

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p. 145-147

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Nonlinear desingularization in certain free-boundary problems

Berger, M. S. ; Fraenkel, L. E.

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p. 149-172

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Wall and boundary free energies. III. Correlation decay and vector spin systems

Caginalp, Gunduz

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p. 149-163

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A multichannel scattering theory for some time dependent Hamiltonians, charge transfer problem

Yajima, Kenji

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p. 153-178

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Construction of quantised gauge fields. II. Convergence of the lattice approximation

Brydges, David C. ; Fröhlich, Jürg ; Seiler, Erhard

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p. 159-205

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A spin-statistics theorem for composites containing both electric and magnetic charges

Friedman, John L. ; Sorkin, Rafael D.

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p. 161-196

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The mass spectrum and the $S$-matrix of the massive Thirring model in the repulsive case

Korepin, V. E.

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p. 165-176

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Analytic scattering theory for many-body systems below the smallest three-body threshold

Balslev, Erik

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p. 173-210

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Renormalized $G$-convolution of $N$-point functions in quantum field theory. I. Convergence in the Euclidean case. Part 1

Bros, Jacques ; Manolessou-Grammaticou, Marietta

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p. 175-205

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Finite total cross sections in nonrelativistic quantum mechanics

Enss, V. ; Simon, B.

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p. 177-209

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Spectral properties of disordered systems in the one-body approximation

Pastur, L. A.

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p. 179-196

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Exponential decay in the Stark effect

Herbst, Ira W.

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p. 197-205

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Debye screening

Brydges, David C. ; Federbush, Paul

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p. 197-246

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$1/n$ expansion for a quantum field model

Kupiainen, Antti J.

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p. 199-222

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On the equivalence of the first and second order equations for gauge theories

Taubes, Clifford Henry

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p. 207-227

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Phase transitions for two-dimensional models with isotropic short-range interactions and continuous symmetries

Shlosman, S. B.

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p. 207-212

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Renormalized $G$-convolution of $N$-point functions in quantum field theory. I. Convergence in the Euclidean case. Part 2

Bros, Jacques ; Manolessou-Grammaticou, Marietta

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p. 207-237

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Stochastic coupling and thermodynamic inequalities

Thomas, Lawrence E.

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p. 211-218

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Universal properties of maps on an interval

Collet, P. ; Eckmann, J.-P. ; Lanford, O. E.

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p. 211-254

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BPHZL renormalization of $1/N$ expansion and critical behaviour of the three-dimensional chiral field

Aref'eva, I. Ya. ; Nissimov, E. R. ; Pacheva, S. J.

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p. 213-246

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Algebras of local observables on a manifold

Dimock, J.

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p. 219-228

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Remarks on the global Markov property

Goldstein, Sheldon

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p. 223-234

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On the distributions corresponding to bounded operators in the Weyl quantization

Daubechies, Ingrid

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p. 229-238

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Functional determinants in Euclidean Yang-Mills theory

Callias, Constantine ; Taubes, Clifford H.

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p. 229-250

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The equations of Wilson's renormalization group and analytic renormalization. I. General results

Bleher, P. M. ; Missarov, M. D.

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p. 235-254

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Double wells

Harrell, Evans M.

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p. 239-261

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On the cancellation of hard anomalies in gauge field models: a regularization independent proof

Bandelloni, G. ; Becchi, C. ; Blasi, A. ; Collina, R.

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p. 239-272

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Sur une résolution stochastique de l'équation de Schrödinger å coefficients analytiques

Doss, Halim

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p. 247-264

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The classical limit of quantum partition functions

Simon, Barry

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p. 247-276

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Macrocausality, unitary and physical-region structure of the multiparticle $S$ matrix

Iagolnitzer, D.

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p. 251-267

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Fibre bundles and supersymmetries

Yates, R. G.

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p. 255-268

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The equations of Wilson's renormalization group and analytic renormalization. II. Solution of Wilson's equations

Bleher, P. M. ; Missarov, M. D.

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p. 255-272

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Metastable states of molecules

Davies, E. B.

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p. 263-283

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The relation between relativistic strings and Maxwell fields of rank $2$

Rinke, Max

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p. 265-271

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On the families of Gibbs semigroups

Zagrebnov, V. A.

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p. 269-276

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Poisson processes on groups and Feynman path integrals

Combe, Ph. ; Høegh-Krohn, R. ; Rodriguez, R. ; Sirugue, M. ; Sirugue-Collin, M.

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p. 269-288

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The Lipatov argument

Spencer, Thomas

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p. 273-280

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Minkowski space-time is locally extendible

Beem, John K.

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p. 273-275

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On the $1/n$ expansion

Kupiainen, Antti J.

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p. 273-294

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Nonunitary scattering and capture. I. Hilbert space theory

Davies, E. B.

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p. 277-288

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Arbitrary $N$-vortex solutions to the first order Ginzburg-Landau equations

Taubes, Clifford Henry

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p. 277-292

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On bounded solutions of a classical Yang-Mills equation

Renardy, Michael

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p. 277-287

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On the possible temperatures of a dynamical system

Bratteli, Ola ; Elliott, George A. ; Herman, Richard H.

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p. 281-295

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Existence of a homoclinic point for the Hénon map

Misiurewicz, Michał ; Szewc, Bolesław

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p. 285-291

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A commutativity theorem of partial differential operators

Tu, Gui Zhang

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p. 289-297

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Riemannian structure on manifolds of quantum states

Provost, J. P. ; Vallee, G.

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p. 289-301

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Singular points and projective limits in relativity

Slupinski, M. J. ; Clarke, C. J. S.

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p. 289-297

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The Borel transform in Euclidean $\varphi_{\nu}^{4}$ local existence for ${\rm Re}\,\nu <4$

Rivasseau, V. ; Speer, E.

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p. 293-302

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Analyticity of solutions of the $O(N)$ nonlinear $\sigma $-model

Borchers, H.-J. ; Garber, W. D.

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p. 299-309

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Cohomology and massless fields

Eastwood, Michael G. ; Penrose, Roger ; Wells, R. O.

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p. 305-351

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Some nonabelian toy models in the large $N$ limit

Friedan, D.

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p. 353-362

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Lattice systems with a continuous symmetry. II. Decay of correlations

Bricmont, Jean ; Fontaine, Jean-Raymond ; Lebowitz, Joel L. ; Spencer, Thomas

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p. 363-371

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Superspaces and supersymmetries

Jadczyk, A. ; Pilch, K.

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p. 373-390

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Absence of singular continuous spectrum for certain selfadjoint operators

Mourre, E.

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p. 391-408

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The group with Grassmann structure ${\rm UOSP}(1.2)$

Berezin, F. A. ; Tolstoy, V. N.

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p. 409-428

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The local structure of the spectrum of the one-dimensional Schrödinger operator

Molčanov, S. A.

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p. 429-446

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The decay of the gravitational field

Schmidt, B. G.

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p. 447-454

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