Sommaire du Fascicule no. 3

Erratum: ``Charges in spacelike cones''

D'Antoni, Claudio ; Fredenhagen, Klaus

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Addendum: ``Quantization and the uniqueness of invariant structures''

Arveson, William

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Bounds on exponentials of local number operators in quantum statistical mechanics

Park, Yong Moon

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p. 1-33

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Removable singularities of coupled Yang-Mills fields in ${\bf R}^{3}$

Sibner, L. M. ; Sibner, R. J.

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p. 1-17

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Approach to equilibrium for locally expanding maps in ${\bf R}^{k}$

Mayer, Dieter H.

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p. 1-15

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Propagators and renormalization transformations for lattice gauge theories. I

Bałaban, T.

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p. 17-40

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Uniform boundedness of conditional gauge and Schrödinger equations

Zhao, Zhong Xin

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p. 19-31

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The soliton correlation matrix and the reduction problem for integrable systems

Harnad, J. ; Saint-Aubin, Y. ; Shnider, S.

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p. 33-56

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A new approach to the self-dual Yang-Mills equations

Takasaki, K.

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p. 35-59

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Wave fields in Weyl spaces and conditions for the existence of a preferred pseudo-Riemannian structure

Audretsch, J. ; Gåhler, F. ; Straumann, N.

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p. 41-51

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Scaling limit of the energy variable for the two-dimensional Ising ferromagnet

De Coninck, Joël

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p. 53-59

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The inverse problem in classical statistical mechanics

Chayes, J. T. ; Chayes, L. ; Lieb, Elliott H.

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p. 57-121

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Remarks on the breakdown of smooth solutions for the $3$-D Euler equations

Beale, J. T. ; Kato, T. ; Majda, A.

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p. 61-66

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Perturbations of geodesic flows on surfaces of constant negative curvature and their mixing properties

Collet, P. ; Epstein, H. ; Gallavotti, G.

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p. 61-112

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The quantum inverse scattering method approach to correlation functions

Izergin, A. G. ; Korepin, V. E.

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p. 67-92

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Correlation functions of the one-dimensional Bose gas in the repulsive case

Korepin, V. E.

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p. 93-113

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On the positive energy theorem involving mass and electromagnetic charges

Moreschi, Osvaldo M. ; Sparling, George A. J.

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p. 113-120

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Oscillatory critical amplitudes in hierarchical models

Derrida, B. ; Itzykson, C. ; Luck, J. M.

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p. 115-132

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Nonrecurrent behaviour in quantum dynamics

Casati, Giulio ; Guarneri, Italo

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p. 121-127

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Sur une valeur propre d'un opérateur

Ando, T. ; Zerner, Martin

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p. 123-139

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Existence, uniqueness, and nondegeneracy of positive solutions of semilinear elliptic equations

Smoller, Joel A. ; Wasserman, Arthur G.

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p. 129-159

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A new combinatoric estimate for cluster expansions

Battle, Guy A.

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p. 133-139

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Amount of rotation about a point and the Morse index

Mather, John N.

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p. 141-153

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On the structure of tensor operators in ${\rm SU}3$

Biedenharn, L. C. ; Flath, Daniel E.

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p. 143-169

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Improved perturbation expansion for disordered systems: beating Griffiths singularities

Fröhlich, Jürg ; Imbrie, John Z.

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p. 145-180

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Existence of maximal surfaces in asymptotically flat spacetimes

Bartnik, Robert

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p. 155-175

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Geometry of $N=1$ supergravity

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

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p. 161-184

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Violation of cosmic censorship in the gravitational collapse of a dust cloud

Christodoulou, Demetrios

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p. 171-195

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Classical and quantum mechanical systems of Toda-lattice type. II. Solutions of the classical flows

Goodman, Roe ; Wallach, Nolan R.

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p. 177-217

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On the rate of convergence to equilibrium in one-dimensional systems

Keller, Gerhard

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p. 181-193

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Differential geometric statement of variational equations for abstract fluids

Montesinos, A.

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p. 185-197

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Uniqueness and the global Markov property for Euclidean fields: the case of general exponential interaction

Zegarliński, Bogusław

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p. 195-221

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On absence of diffusion near the bottom of the spectrum for a random Schrödinger operator on $L^{2}({\bf R}^{\nu})$

Martinelli, Fabio ; Holden, Helge

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p. 197-217

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Integrable graded manifolds and nonlinear equations

Saveliev, M. V.

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p. 199-216

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The Boltzmann equation: global existence for a rare gas in an infinite vacuum

Illner, Reinhard ; Shinbrot, Marvin

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p. 217-226

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Algebraic properties of cellular automata

Martin, Olivier ; Odlyzko, Andrew M. ; Wolfram, Stephen

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p. 219-258

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On quantum field theory in gravitational background

Haag, Rudolf ; Narnhofer, Heide ; Stein, Ulrich

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p. 219-238

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Propagators and renormalization transformations for lattice gauge theories. II

Bałaban, T.

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p. 223-250

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Asymptotic expansion of the logarithm of the partition function

Pogosian, S.

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p. 227-245

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Uniqueness and a priori bounds for certain homoclinic orbits of a Boussinesq system modelling solitary water waves

Toland, J. F.

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p. 239-254

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Analytic study of the Migdal-Kadanoff recursion formula

Ito, K. R.

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p. 247-255

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Translation symmetry breaking in four-dimensional lattice gauge theories

Borgs, Christian

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p. 251-284

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New integrable problem of classical mechanics

Bogoyavlensky, O. I.

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p. 255-269

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Eigenvalue inequalities for fermions in gauge theories

Vafa, Cumrun ; Witten, Edward

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p. 257-276

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Skeleton inequalities and the asymptotic nature of perturbation theory for $\Phi^{4}$-theories in two and three dimensions

Bovier, Anton ; Felder, Giovanni

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p. 259-275

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The algebraic complete integrability of geodesic flow on ${\rm SO}(N)$

Haine, Luc

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p. 271-287

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Integrability conditions for Killing spinors

van Nieuwenhuizen, P. ; Warner, N. P.

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p. 277-284

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The $1/N_F$ expansion of the $\gamma$ and $\beta$ functions in Q.E.D

Palanques-Mestre, A. ; Pascual, P.

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p. 277-287

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Characteristic exponents for a viscous fluid subjected to time dependent forces

Ruelle, David

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p. 285-300

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Geometry of $N=1$ supergravity. II

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

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p. 285-309

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Remark on the continuity of the density of states of ergodic finite difference operators

Delyon, François ; Souillard, Bernard

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p. 289-291

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The Yang-Mills collective-coordinate potential

Lott, John

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p. 289-300

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Conservative diffusions

Carlen, Eric A.

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p. 293-315

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Convergence of grand canonical Gibbs measures

Klein, David

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p. 295-308

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Detailed balance and equilibrium

Verbeure, A.

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p. 301-305

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Quantum Ito's formula and stochastic evolutions

Hudson, R. L. ; Parthasarathy, K. R.

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p. 301-323

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Euler equations on finite-dimensional Lie algebras arising in physical problems

Bogoyavlensky, O. I.

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p. 307-315

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The spectrum of the transfer matrix in the $C^*$-algebra of the Ising model at high temperatures

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

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p. 309-327

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The KAM theory of systems with short range interactions. I

Wayne, C. Eugene

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p. 311-329

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Phase retrieval

Rosenblatt, Joseph

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p. 317-343

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Breaking and disappearance of tori

Franceschini, Valter ; Tebaldi, Claudio

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p. 317-329

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The twistor connection and gauge invariance principle

Merkulov, S. A.

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p. 325-331

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Båcklund transformations for nonlinear sigma models with values in Riemannian symmetric spaces

Harnad, J. ; Saint-Aubin, Y. ; Shnider, S.

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p. 329-367

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A class of nontrivial weakly local massive Wightman fields with interpolating properties

Baumgårtel, H. ; Wollenberg, M.

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p. 331-352

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The KAM theory of systems with short range interactions. II

Wayne, C. Eugene

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p. 331-344

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Determination of the scattering amplitude

Gangal, A. D. ; Kupsch, J.

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p. 333-339

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The Broadwell model for initial values in $L^{1}_{+}({\bf R})$

Illner, Reinhard

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p. 341-353

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Quantum logic, state space geometry and operator algebras

Bunce, L. J. ; Wright, J. D. Maitland

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p. 345-348

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Monopoles and maps from $S^2$ to $S^2$; the topology of the configuration space

Taubes, Clifford Henry

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p. 345-391

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The surfboard Schrödinger equations

Yajima, Kenji

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p. 349-360

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Study of the iterations of a mapping associated to a spin glass model

Collet, P. ; Eckmann, J.-P. ; Glaser, V. ; Martin, A.

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p. 353-370

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The Wess-Zumino term and fermionic solitons

Ramadas, T. R.

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p. 355-365

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The complete set of Hamiltonian intermittency scaling behaviors

Zisook, Albert B.

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p. 361-371

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Integrality of the monopole number in ${\rm SU}(2)$ Yang-Mills-Higgs theory on ${\bf R}^{3}$

Groisser, David

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p. 367-378

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Glueball spectroscopy in strongly coupled lattice gauge theories

Schor, Ricardo S.

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p. 369-395

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A simplified ${\rm SO}(6,\,2)$ model of ${\rm SU}(3)$

Bracken, A. J.

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p. 371-377

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Infinitely divisible distribution functions of class $L$ and the Lee-Yang theorem

De Coninck, Joël

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p. 373-385

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A spin-glass model with random couplings

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

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p. 379-406

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Exact theory of the (Einstein) gravitational field in an arbitrary background space-time

Grishchuk, L. P. ; Petrov, A. N. ; Popova, A. D.

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p. 379-396

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Nahm's equations and the classification of monopoles

Donaldson, S. K.

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p. 387-407

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Structure of supermanifolds and supersymmetry transformations

Bruzzo, Ugo ; Cianci, Roberto

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p. 393-400

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Borel summability of the unequal double well

Graffi, S. ; Grecchi, V.

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p. 397-403

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${\rm SU}(N)$ Yang-Mills solutions with constant field strength on $T^{4}$

van Baal, Pierre

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p. 397-419

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An exactly solvable model of a multidimensional incommensurate structure

Figotin, A. L. ; Pastur, L. A.

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p. 401-425

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On the curvature of piecewise flat spaces

Cheeger, Jeff ; Müller, Werner ; Schrader, Robert

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p. 405-454

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On the regularized determinant for noninvertible elliptic operators

Gamboa Saraví, R. E. ; Muschietti, M. A. ; Solomin, J. E.

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p. 407-415

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Gravitational anomalies and the family's index theorem

Alvarez, Orlando ; Singer, I. M. ; Zumino, Bruno

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p. 409-417

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Integrable Euler equations on ${\rm SO}(4)$ and their physical applications

Bogoyavlensky, O. I.

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p. 417-436

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Conformal symmetry in two dimensions: an explicit recurrence formula for the conformal partial wave amplitude

Zamolodchikov, Al. B.

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p. 419-422

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Random media and eigenvalues of the Laplacian

Ozawa, S.

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p. 421-437

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Splitting theorems for spatially closed space-times

Galloway, Gregory J.

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p. 423-429

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Nonanalytic features of the first order phase transition in the Ising model

Isakov, S. N.

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p. 427-443

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Solutions to Yang-Mills field equations in eight dimensions and the last Hopf map

Grossman, Bernard ; Kephart, Thomas W. ; Stasheff, James D.

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p. 431-437

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Instantons in two and four dimensions

Atiyah, M. F.

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p. 437-451

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The ground state energy of a classical gas

Conlon, Joseph G.

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p. 439-458

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Random surface correlation functions

Abraham, D. B. ; Chayes, J. T. ; Chayes, L.

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p. 439-471

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Construction and Borel summability of planar $4$-dimensional Euclidean field theory

Rivasseau, Vincent

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p. 445-486

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Instantons and geometric invariant theory

Donaldson, S. K.

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p. 453-460

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Nonabelian bosonization in two dimensions

Witten, Edward

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p. 455-472

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Supersymmetry and the Parisi-Sourlas dimensional reduction: a rigorous proof

Klein, Abel ; Landau, Lawrence J. ; Perez, J. Fernando

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p. 459-482

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Ergodic properties of the Lozi mappings

Collet, P. ; Levy, Y.

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p. 461-481

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On characteristic exponents in turbulence

Lieb, Elliott H.

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p. 473-480

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Fermion Itô's formula and stochastic evolutions

Applebaum, D. B. ; Hudson, R. L.

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p. 473-496

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Exponential bounds and semifiniteness of point spectrum for $N$-body Schrödinger operators

Perry, Peter A.

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p. 481-483

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On the theory of recursion operator

Zakharov, V. E. ; Konopel'chenko, B. G.

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p. 483-509

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A correlation decay theorem at high temperature

Lehto, M. ; Nielsen, H. B. ; Ninomiya, Masao

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p. 483-493

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A note on $D(k,\,0)$ Killing spinors

Torres del Castillo, Gerardo F.

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p. 485-490

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Renormalization of Dyson's hierarchical vector valued $\varphi^4$ model at low temperatures

Bleher, P. M. ; Major, P.

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p. 487-532

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Localization of random walks in one-dimensional random environments

Golosov, A. O.

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p. 491-506

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Fixed points of Feigenbaum's type for the equation $f^{p}(\lambda x)\equiv \lambda f(x)$

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

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p. 495-516

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Topological charges in monopole theories

Horvåthy, P. A. ; Rawnsley, J. H.

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p. 497-519

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Classical and quantum algebras of nonlocal charges in $\sigma $ models

de Vega, H. J. ; Eichenherr, H. ; Maillet, J.-M.

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p. 507-524

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Percival variational principle for invariant measures and commensurate-incommensurate phase transitions in one-dimensional chains

Lazutkin, V. F. ; Terman, D. Ya.

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p. 511-522

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Markov dilations and quantum detailed balance

Frigerio, Alberto ; Gorini, Vittorio

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p. 517-532

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A shorter proof of the existence of the Feigenbaum fixed point

Lanford, Oscar E.

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p. 521-538

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One-electron molecules with relativistic kinetic energy: properties of the discrete spectrum

Daubechies, Ingrid

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p. 523-535

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A uniform bound on trace$\,(e^{t\Delta})$ for convex regions in ${\bf R}^{n}$ with smooth boundaries

van den Berg, M.

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p. 525-530

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Lattice dipole gas and $(\nabla \varphi)^{4}$ models at long distances: decay of correlations and scaling limit

Gaw\polhk{e}dzki, K. ; Kupiainen, A.

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p. 531-553

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Vacuum charge and the eta function

Lott, John

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p. 533-558

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Charges in spacelike cones

D'Antoni, Claudio ; Fredenhagen, Klaus

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p. 537-544

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Nonabelian magnetic monopoles

Murray, M. K.

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p. 539-565

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Small $\hbar $ asymptotics for quantum partition functions associated to particles in external Yang-Mills potentials

Schrader, Robert ; Taylor, Michael E.

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p. 555-594

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An alternate version of Pirogov-Sinaĭ theory

Zahradník, Miloš

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p. 559-581

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