Sommaire du Fascicule no. 3

Erratum: ``On the regularization of the Kepler problem''

Kummer, Martin

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The Wulff construction and asymptotics of the finite cluster distribution for two-dimensional Bernoulli percolation

Alexander, K. ; Chayes, J. T. ; Chayes, L.

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p. 1-50

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Extended super-Kac-Moody algebras and their super-derivation algebras

Coquereaux, R. ; Frappat, L. ; Ragoucy, E. ; Sorba, P.

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p. 1-35

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Ribbon graphs and their invariants derived from quantum groups

Reshetikhin, N. Yu. ; Turaev, V. G.

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p. 1-26

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Vortices in holomorphic line bundles over closed Kåhler manifolds

Bradlow, Steven B.

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p. 1-17

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For Res Jost, and To Arthur Wightman

Jaffe, Arthur ; Wightman, Arthur ; Jost, Res

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p. 1-4

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Unitary dressing transformations and exponential decay below threshold for quantum spin systems. I, II

Albanese, Claudio

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p. 1-27

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A quantum group structure in integrable conformal field theories

Smit, Dirk-Jan

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p. 1-37

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Localization for a class of one-dimensional quasi-periodic Schrödinger operators

Fröhlich, J. ; Spencer, T. ; Wittwer, P.

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p. 5-25

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Variational processes from the weak forward equation

Mikami, Toshio

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p. 19-40

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Classical and thermodynamic limits for generalised quantum spin systems

Duffield, N. G.

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p. 27-39

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A Feynman-Kac formula for the quantum Heisenberg ferromagnet. II

Hogreve, H. ; Müller, W. ; Potthoff, J. ; Schrader, R.

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p. 27-38

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Local quasiequivalence and adiabatic vacuum states

Lüders, Christian ; Roberts, John E.

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p. 29-63

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Asymptotic solutions of the elastic wave equation and reflected waves near boundaries

Soga, Hideo

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p. 37-52

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Construction of convergent simplicial approximations of quantum fields on Riemannian manifolds

Albeverio, Sergio ; Zegarliński, Bogusław

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p. 39-71

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Area-preserving diffeomorphisms and supermembrane Lorentz invariance

de Wit, B. ; Marquard, U. ; Nicolai, H.

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p. 39-62

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A perturbed mean field model of an interacting boson gas and the large deviation principle

van den Berg, M. ; Dorlas, T. C. ; Lewis, J. T. ; Pulé, J. V.

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p. 41-69

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Generic global solutions of the relativistic Vlasov-Maxwell system of plasma physics

Rein, Gerhard

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p. 41-78

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Why there is a field algebra with a compact gauge group describing the superselection structure in particle physics

Doplicher, Sergio ; Roberts, John E.

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p. 51-107

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Existence of standing waves for Dirac fields with singular nonlinearities

Balabane, Mikhaël ; Cazenave, Thierry ; Våzquez, Luis

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p. 53-74

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Ising models on the Lobachevsky plane

Series, C. M. ; Sina\u{\i}, Ya. G.

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p. 63-76

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An application of Aomoto-Gel'fand hypergeometric functions to the ${\rm SU}(n)$ Knizhnik-Zamolodchikov equation

Matsuo, Atsushi

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p. 65-77

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${\bf Z}/N{\bf Z}$ conformal field theories

Degiovanni, P.

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p. 71-99

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Asymptotic completeness for $N$-body short-range quantum systems: a new proof

Graf, Gian Michele

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p. 73-101

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Flat twistor spaces, conformally flat manifolds and four-dimensional field theory

Singer, M. A.

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p. 75-90

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$L^2$-index formulae for perturbed Dirac operators

Anghel, N.

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p. 77-97

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Crystal base for the basic representation of $U_q(\germ s\germ l(n))$

Misra, Kailash ; Miwa, Tetsuji

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p. 79-88

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Gibbs measure as quantum ground states

Matsui, T.

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p. 79-89

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Scalings in circle maps. I

Veerman, J. J. P. ; Tangerman, F. M.

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p. 89-107

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Supermoduli spaces

Dolgikh, S. N. ; Rosly, A. A. ; Schwarz, A. S.

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p. 91-100

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Relating the approaches to quantised algebras and quantum groups

Burroughs, Nigel

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p. 91-117

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Localization in the ground-state of the one-dimensional $X$-$Y$ model with a random transverse field

Klein, Abel ; Perez, J. Fernando

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p. 99-108

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Semiclassical Yang-Mills theory. I. Instantons

Groisser, David ; Parker, Thomas H.

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p. 101-140

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Decay estimates for Schrödinger equations

Constantin, Peter

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p. 101-108

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On the measure of the spectrum for the almost Mathieu operator

Avron, J. ; van Mouche, P. H. M. ; Simon, B.

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p. 103-118

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Asymptotic expansions in limits of large momenta and masses

Smirnov, V. A.

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p. 109-137

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Breit-Wigner formula for the scattering phase in the Stark effect

Klein, Markus ; Robert, Didier ; Wang, Xue Ping

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p. 109-124

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The universal $R$-matrix for $U_q{\rm sl}(3)$ and beyond!

Burroughs, Nigel

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p. 109-128

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Asymptotic neutrality of large ions

Fefferman, Charles L. ; Seco, Luis A.

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p. 109-130

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Multichannel nonlinear scattering for nonintegrable equations

Soffer, A. ; Weinstein, M. I.

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p. 119-146

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Ward identities for noncommutative geometry

Jaffe, Arthur ; Osterwalder, Konrad

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p. 119-130

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Quantum group structure in the Fock space resolutions of $\widehat{\rm sl}(n)$ representations

Bouwknegt, Peter ; McCarthy, Jim ; Pilch, Krzysztof

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p. 125-155

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$q$-analogues of Clifford and Weyl algebras---spinor and oscillator representations of quantum enveloping algebras

Hayashi, Takahiro

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p. 129-144

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On the exchange matrix for WZNW model

Faddeev, L. D.

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p. 131-138

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Solitons in the chiral equation

Beggs, Edwin J.

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p. 131-139

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Conformal field algebras with quantum symmetry from the theory of superselection sectors

Mack, Gerhard ; Schomerus, Volker

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p. 139-196

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The time dependent amplitude equation for the Swift-Hohenberg problem

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

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p. 139-153

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Homological representations of the Hecke algebra

Lawrence, R. J.

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p. 141-191

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Power-law corrections to the Kubo formula vanish in quantum Hall systems

Klein, M. ; Seiler, R.

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p. 141-160

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Fock representations and BRST cohomology in ${\rm SL}(2)$ current algebra

Bernard, D. ; Felder, G.

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p. 145-168

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Log-Sobolev inequalities for infinite one-dimensional lattice systems

Zegarliński, Bogusław

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p. 147-162

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Master symmetries of the XY model

Araki, Huzihiro

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p. 155-176

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Hidden quantum group symmetry and integrable perturbations of conformal field theories

Reshetikhin, N. ; Smirnov, F.

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p. 157-177

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Affine Kac-Moody algebras and semi-infinite flag manifolds

Fe\u{\i} gin, Boris L. ; Frenkel, Edward V.

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p. 161-189

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Special geometry

Strominger, Andrew

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p. 163-180

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Time boundedness of the energy for the charge transfer model

Wüller, Ulrich

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p. 169-179

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Resonances, metastable states and exponential decay laws in perturbation theory

Hunziker, Walter

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p. 177-188

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A unified approach to string scattering amplitudes

Voronov, Alexander A.

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p. 179-218

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Dimension of the commutant for the ${\rm SU}(N)$ affine algebras

Ruelle, Ph.

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p. 181-196

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A topological characterization of classical BRST cohomology

Figueroa-O'Farrill, José M.

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p. 181-186

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Scaling for the discrete Mathieu equation

Thouless, D. J.

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p. 187-193

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Translation group and modular automorphisms for local regions

Borchers, H.-J.

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p. 189-199

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$N=2$ super Yang-Mills theory in projective superspace

Lindström, U. ; Roček, M.

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p. 191-196

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On the number of complete intersection Calabi-Yau manifolds

He, Anming ; Candelas, Philip

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p. 193-199

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Braiding matrices, modular transformations and topological field theories in $2+1$ dimensions

Li, Miao ; Yu, Ming

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p. 195-224

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Matrix integration and combinatorics of modular groups

Itzykson, C. ; Zuber, J.-B.

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p. 197-207

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From geometric quantization to conformal field theory

Alekseev, A. ; Shatashvili, S.

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p. 197-212

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Rate of escape of some chaotic Julia sets

Contreras-Barandiarån, Gonzalo

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p. 197-215

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Symmetry groups and nonabelian cohomology

Streater, R. F.

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p. 201-215

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Generalized Lax pairs, the modified classical Yang-Baxter equation, and affine geometry of Lie groups

Bordemann, Martin

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p. 201-216

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Absence of ballistic motion

Simon, Barry

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p. 209-212

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Area-preserving diffeomorphisms and higher-spin algebras

Bergshoeff, E. ; Blencowe, M. P. ; Stelle, K. S.

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p. 213-230

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Erratum: "To Arthur Wightman"

Jost, Res

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p. 213-216

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Gibbs' functionals on subshifts

Haydn, Nicolai T. A.

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p. 217-236

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The heat semigroup and integrability of Lie algebras: Lipschitz spaces and smoothness properties

Robinson, Derek W.

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p. 217-243

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Relativistic Toda systems

Ruijsenaars, S. N. M.

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p. 217-247

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Riemann surfaces, Clifford algebras and infinite-dimensional groups

Carey, A. L. ; Eastwood, M. G. ; Hannabuss, K. C.

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p. 217-236

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The holonomy of the determinant of cohomology of an algebraic bundle

Gillet, H. ; Soulé, C.

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p. 219-220

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Construction of solutions with exactly $k$ blow-up points for the Schrödinger equation with critical nonlinearity

Merle, Frank

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p. 223-240

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On positive multi-lump bound states of nonlinear Schrödinger equations under multiple well potential

Oh, Yong-Geun

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p. 223-253

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Hierarchy structure in integrable systems of gauge fields and underlying Lie algebras

Takasaki, K.

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p. 225-238

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The pressure in the Huang-Yang-Luttinger model of an interacting boson gas

van den Berg, M. ; Dorlas, T. C. ; Lewis, J. T. ; Pulé, J. V.

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p. 231-245

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Schrödinger dynamics and physical folia of infinite mean-field quantum systems

Unnerstall, T.

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p. 237-255

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Unitary dressing transformations and exponential decay below threshold for quantum spin systems. III, IV

Albanese, Claudio

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p. 237-272

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Supersymmetry and the Möbius inversion function

Spector, Donald

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p. 239-252

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Navier-Stokes equations and area of interfaces

Constantin, Peter

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p. 241-266

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Fundamental irreversibility and the concept of events

Haag, Rudolf

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p. 245-251

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A note on the global structure of supermoduli spaces

Falqui, Gregorio ; Reina, Cesare

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p. 247-261

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Crystalizing the $q$-analogue of universal enveloping algebras

Kashiwara, Masaki

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p. 249-260

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Hydrodynamics of stationary nonequilibrium states for some stochastic lattice gas models

Eyink, Gregory ; Lebowitz, Joel L. ; Spohn, Herbert

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p. 253-283

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Sewing Polyakov amplitudes. I. Sewing at a fixed conformal structure

Carlip, Steven ; Clements, Minot ; Della Pietra, Stephen ; Della Pietra, Vincent

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p. 253-271

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The computation of characteristic classes of lattice gauge fields

Phillips, Anthony V. ; Stone, David A.

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p. 255-282

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The quantum group structure of $2$D gravity and minimal models. I

Gervais, Jean-Loup

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p. 257-283

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Geometry of the string equations

Moore, Gregory

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p. 261-304

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Lower bounds for resonance widths in potential and obstacle scattering

Fernåndez, Claudio ; Lavine, Richard

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p. 263-284

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Universal Schwinger cocycles of current algebras in $(D+1)$ dimensions: geometry and physics

Fujii, Kazuyuki ; Tanaka, Masaru

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p. 267-280

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On the derivation of Hawking radiation associated with the formation of a black hole

Fredenhagen, Klaus ; Haag, Rudolf

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p. 273-284

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Quantum Yang-Mills on the two-sphere

Fine, Dana S.

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p. 273-292

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Toda lattice hierarchy and conservation laws

Takebe, Takashi

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p. 281-318

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Low energy bands do not contribute to quantum Hall effect

Nakamura, S. ; Bellissard, J.

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p. 283-305

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The Polyakov path integral over bordered surfaces (the open string amplitudes)

Jaskólski, Zbigniew

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p. 285-318

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On Listing's law

Hepp, Klaus

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p. 285-292

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Commutator anomalies and the Fock bundle

Mickelsson, Jouko

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p. 285-294

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Index of subfactors and statistics of quantum fields. II. Correspondences, braid group statistics and Jones polynomial

Longo, Roberto

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p. 285-309

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Generalized Apollonian packings

Bessis, Daniel ; Demko, Stephen

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p. 293-319

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Inequivalent quantizations for nonlinear $\sigma$ model

Date, G. ; Govindarajan, T. R. ; Sankaran, P. ; Shankar, R.

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p. 293-313

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The nonrelativistic Coulomb problem on a cone

Gibbons, Gary W. ; Ruiz Ruiz, Fernando ; Vachaspati, Tanmay

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p. 295-312

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Modular invariants for affine $\widehat{\rm SU}(3)$ theories at prime heights

Ruelle, Ph. ; Thiran, E. ; Weyers, J.

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p. 305-322

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Bound on the ionization energy of large atoms

Seco, L. A. ; Sigal, I. M. ; Solovej, J. P.

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p. 307-315

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On the thermodynamic formalism for the Gauss map

Mayer, Dieter H.

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p. 311-333

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Hausdorff dimension of order preserving sets

Veerman, J. J. P.

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p. 313-317

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Super loop groups, Hamiltonian actions and super Virasoro algebras

Harnad, J. ; Kupershmidt, B. A.

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p. 315-347

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The Newhouse set has a positive Hausdorff dimension

Wang, Xiao-Jing

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p. 317-332

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Classical solutions of the chiral model, unitons, and holomorphic vector bundles

Ward, R. S.

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p. 319-332

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Linearly stable orbits in $3$-dimensional billiards

Wojtkowski, Maciej P.

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p. 319-327

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Quadratic maps without asymptotic measure

Hofbauer, Franz ; Keller, Gerhard

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p. 319-337

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Critical limit one-point correlations of monodromy fields on ${\bf Z}^2$

Watling, Neil A.

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p. 321-345

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Remarques sur l'apparition de singularités dans les écoulements eulériens compressibles

Chemin, Jean-Yves

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p. 323-329

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Quantum geometry of loops and the exact solubility of nonabelian gauge Chern-Simons theory. II

Awada, M.

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p. 329-349

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On the diffusive nature of entropy flow in infinite systems: remarks to a paper: ``Nonlinear diffusion limit for a system with nearest neighbor interactions'' by M. Z. Guo, G. C. Papanicolau and S. R. S. Varadhan

Fritz, J.

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p. 331-352

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Mean-field critical behaviour for percolation in high dimensions

Hara, Takashi ; Slade, Gordon

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p. 333-391

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The Trotter-Kato product formula for Gibbs semigroups

Neidhardt, Hagen ; Zagrebnov, Valentin A.

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p. 333-346

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Superconformal compactifications in weighted projective space

Greene, B. R.

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p. 335-355

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The rotation set of a homeomorphism of the annulus is closed

Handel, Michael

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p. 339-349

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Flat connections and geometric quantization

Hitchin, N. J.

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p. 347-380

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Quantum and classical pseudogroups. I. Union pseudogroups and their quantization

Zakrzewski, S.

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p. 347-370

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The branching rules of conformal embeddings

Altschüler, Daniel ; Bauer, Michel ; Itzykson, Claude

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p. 349-364

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Grad $\phi$ perturbations of massless Gaussian fields

Brydges, David ; Yau, Horng-Tzer

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p. 351-392

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Small divisors with spatial structure in infinite-dimensional Hamiltonian systems

Pöschel, Jürgen

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p. 351-393

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Quantum groups and WZNW models

Alekseev, A. ; Shatashvili, S.

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p. 353-368

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Schrödinger operator with a nonlocal potential whose absolutely continuous and point spectra coexist

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

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p. 357-380

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The large-time asymptotics of some Wiener integrals and the interband light absorption coefficient in the deep fluctuation spectrum

Kirsch, W. ; Pastur, L. A.

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p. 365-382

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Summability method for a horn-shaped region

Moroz, Alexander

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p. 369-382

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Quantum and classical pseudogroups. II. Differential and symplectic pseudogroups

Zakrzewski, S.

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p. 371-395

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Mathematical models with exact renormalization for turbulent transport

Avellaneda, Marco ; Majda, Andrew J.

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p. 381-429

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Quantum deformation of Lorentz group

Podleś, P. ; Woronowicz, S. L.

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p. 381-431

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Endomorphism valued cohomology and gauge-neutral matter

Eastwood, Michael G. ; Hübsch, Tristan

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p. 383-413

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Quantum groups and subfactors of type $B$, $C$, and $D$

Wenzl, Hans

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p. 383-432

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Quantum evolution and classical flow in complex phase space

Graffi, S. ; Parmeggiani, A.

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p. 393-409

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Topological gauge theories and group cohomology

Dijkgraaf, Robbert ; Witten, Edward

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p. 393-429

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Ocneanu cell calculus and integrable lattice models

Roche, Ph.

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p. 395-424

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Self-dual Yang-Mills fields and deformations of algebraic curves

Korotkin, D. A.

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p. 397-412

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Extremity of the disordered phase in the Ising model on the Bethe lattice

Bleher, P. M.

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p. 411-419

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Deformations and renormalisations of $W_\infty$

Fairlie, D. B. ; Nuyts, J.

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p. 413-419

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Quantum groups and generalized statistics in integrable models

Smirnov, F. A.

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p. 415-439

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Chern-Simons gauge theory and projectively flat vector bundles on $\scr M_g$

Ramadas, T. R.

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p. 421-426

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$q$-Weyl group and a multiplicative formula for universal $R$-matrices

Kirillov, A. N. ; Reshetikhin, N.

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The system of one-dimensional balls in an external field. II

Wojtkowski, Maciej P.

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Bounds on the unstable eigenvalue for period doubling

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

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Variational problems on vector bundles

Fröhlich, Jürg ; Struwe, Michael

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Global flows with invariant (Gibbs) measures for Euler and Navier-Stokes two-dimensional fluids

Albeverio, Sergio ; Cruzeiro, Ana Bela

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Selberg supertrace formula for super Riemann surfaces, analytic properties of Selberg super zeta-functions and multiloop contributions for the fermionic string

Grosche, Christian

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A phase cell approach to Yang-Mills theory. V. Analysis of a chunk

Federbush, P.

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Ising model on the generalized Bruhat-Tits tree

Zinoviev, Yu. M.

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Projective embeddings of complex supermanifolds

LeBrun, Claude ; Poon, Yat Sun ; Wells, R. O.

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Hyperbolicity and invariant measures for general $C^2$ interval maps satisfying the Misiurewicz condition

van Strien, Sebastian

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Quantum-mechanical calculations in the algebraic group theory

Olshanetsky, M. A.

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Hydrodynamic limit for a system with finite range interactions

Rezakhanlou, Fraydoun

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Uniqueness of the translationally invariant ground state in quantum spin systems

Matsui, T.

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Zeta functions and transfer operators for piecewise monotone transformations

Baladi, V. ; Keller, G.

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Space-time fields and exchange fields

Rehren, Karl-Henning

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A Feynman-Kac formula for the quantum Heisenberg ferromagnet. I

Hogreve, H. ; Müller, W. ; Potthoff, J. ; Schrader, R.

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Entropy and global Markov properties

Goldstein, S. ; Kuik, R. ; Schlijper, A. G.

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Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory

Wayne, C. Eugene

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Integration on the $n$th power of a hyperbolic space in terms of invariants under diagonal action of isometries (Lorentz transformations)

Fuglede, Bent

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First order phase transitions in unbounded spin systems. II. Completeness of the phase diagram

Borgs, Christian ; Waxler, Roger

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General Zakharov-Shabat equations, multi-time Hamiltonian formalism, and constants of motion

Dickey, L. A.

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Monopoles and their spectral data

Hurtubise, Jacques ; Murray, Michael K.

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Differential graded Lie algebras and singularities of level sets of momentum mappings

Goldman, William M. ; Millson, John J.

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Adiabatic theorems for dense point spectra

Avron, J. E. ; Howland, J. S. ; Simon, B.

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Multiple forced oscillations for the $N$-pendulum equation

Tarantello, Gabriella

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A system of one-dimensional balls with gravity

Wojtkowski, Maciej P.

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A Lie algebraic setting for Miura maps related to an energy dependent linear problem

Marshall, Ian

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Moduli space of ${\rm SU}(2)$ monopoles and complex cyclic-Toda hierarchy

Nakamura, Yoshimasa

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On the phase structure of the compact abelian lattice Higgs model

Barata, Joåo C. A.

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$N=2$ supergravity, type ${\rm IIB}$ superstrings, and algebraic geometry

Cecotti, S.

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Constrained random walks and vortex filaments in turbulence theory

Chorin, Alexandre Joel

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Quantum $2$-spheres and big $q$-Jacobi polynomials

Noumi, Masatoshi ; Mimachi, Katsuhisa

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Entropy of Bogoliubov automorphisms of the canonical anticommutation relations

Størmer, Erling ; Voiculescu, Dan

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The $\overline\partial$-operator on algebraic curves

Brüning, Jochen ; Peyerimhoff, Norbert ; Schröder, Herbert

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Einstein metrics on $S^3,\;{\bf R}^3$ and ${\bf R}^4$ bundles

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

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Dynamics of fluctuations for quantum lattice systems

Goderis, D. ; Verbeure, A. ; Vets, P.

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The BRS method and geometric quantization: some examples

Duval, C. ; Elhadad, J. ; Tuynman, G. M.

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A ``transversal'' fundamental theorem for semi-dispersing billiards

Kråmli, A. ; Simånyi, N. ; Szåsz, D.

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The weak coupling limit as a quantum functional central limit

Accardi, L. ; Frigerio, A. ; Lu, Y. G.

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Factorizations for self-dual gauge fields

Lerner, David E.

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$7$-dimensional compact Riemannian manifolds with Killing spinors

Friedrich, Thomas ; Kath, Ines

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Isoperimetric phase transitions of two-dimensional droplets

Bavaud, François

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Inverse scattering transform for the time dependent Schrödinger equation with applications to the KPI equation

Zhou, Xin

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Random fields as solutions of the inhomogeneous quaternionic Cauchy-Riemann equation. I. Invariance and analytic continuation

Albeverio, S. ; Iwata, K. ; Kolsrud, T.

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Harish-Chandra isomorphisms for quantum algebras

Tanisaki, Toshiyuki

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Quantum mechanical resonance and limiting absorption: the many body problem

Orth, Andreas

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Universality in the Thomas-Fermi-von Weizsåcker model of atoms and molecules

Solovej, Jan Philip

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Torsion constraints in supergeometry

Lott, John

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Isoholonomic problems and some applications

Montgomery, R.

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Zonal Schrödinger operators on the $n$-sphere: inverse spectral problem and rigidity

Gurarie, David

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Measure and dimension of solenoidal attractors of one-dimensional dynamical systems

Blokh, A. M. ; Lyubich, M. Yu.

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Quantization on the Virasoro group

Aldaya, Víctor ; Navarro-Salas, José

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Implementation of comparative probability by normal states. Infinite-dimensional case

Mutangadura, Simba A.

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Un phénomène de concentration évanescente pour des flots non-stationnaires incompressibles en dimension deux

Alinhac, S.

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Theory of ordered spaces

Borchers, H.-J. ; Sen, R. N.

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$(2,2)$-superconformal field theories near orbifold points

Aspinwall, Paul

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Commutative rings of partial differential operators and Lie algebras

Chalykh, O. A. ; Veselov, A. P.

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Loop groups and Yang-Mills theory in dimension two

Gravesen, Jens

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Weak matching rules for quasicrystals

Socolar, Joshua E. S.

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At the other side of a saddle-node

Misiurewicz, M. ; Kawczyński, A. L.

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Positivity of Wightman functionals and the existence of local nets

Borchers, H.-J. ; Yngvason, J.

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Random Hamiltonians ergodic in all but one direction

Englisch, H. ; Kirsch, W. ; Schröder, M. ; Simon, B.

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Parabolic problems for the Anderson model. I. Intermittency and related topics

Gårtner, J. ; Molchanov, S. A.

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Symmetric plasmas and their decay

Horst, E.

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Multiple resonances in the semi-classical limit

Kaidi, Noureddine ; Rouleux, Michel

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Modular transformations of ${\rm SU}(N)$ affine characters and their commutant

Bauer, M. ; Itzykson, C.

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A dynamical system with integer information dimension and fractal correlation exponent

Cutler, C. D.

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Homological perturbation theory and the algebraic structure of the antifield-antibracket formalism for gauge theories

Fisch, Jean M. L. ; Henneaux, Marc

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Harmonic analysis of local operators

Buchholz, Detlev

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On the classical limit of Berry's phase integrable systems

Asch, J.

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Zeroes of chromatic polynomials: a new approach to Beraha conjecture using quantum groups

Saleur, H.

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