Sommaire du Fascicule no. 3

Fredholm determinants and the mKdV/sinh-Gordon hierarchies

Tracy, Craig A. ; Widom, Harold

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p. 1-9

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Double wells: Nevanlinna analyticity, distributional Borel sum and asymptotics

Caliceti, E. ; Grecchi, V. ; Maioli, M.

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p. 1-22

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A local-to-global singularity theorem for quantum field theory on curved space-time

Radzikowski, Marek J.

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p. 1-22

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The Euler-Poincaré equations and double bracket dissipation

Bloch, Anthony ; Krishnaprasad, P. S. ; Marsden, Jerrold E. ; Ratiu, Tudor S.

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p. 1-42

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Yang-Mills-Higgs versus Connes-Lott

Iochum, Bruno ; Schücker, Thomas

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p. 1-26

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A central limit theorem for the fourth Wick power of the free lattice field

Albeverio, S. ; Zhou, X. Y.

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p. 1-10

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On continuity of Bowen-Ruelle-Sinai measures in families of one-dimensional maps

Tsujii, Masato

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p. 1-11

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The conformal spin and statistics theorem

Guido, Daniele ; Longo, Roberto

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p. 11-35

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Time decay of solutions of coupled Maxwell-Klein-Gordon equations

Petrescu, Deivy M.

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p. 11-23

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Supersymmetry, vacuum statistics, and the fundamental theorem of algebra

Spector, Donald

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p. 13-25

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Scalar conservation laws with discontinuous flux function. I. The viscous profile condition

Diehl, S.

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p. 23-44

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On the deformability of Heisenberg algebras

Pillin, Mathias

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p. 23-38

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Factorisations for partition functions of random Hermitian matrix models

Jackson, D. M. ; Perry, M. J. ; Visentin, T. I.

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p. 25-59

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Fusion of the $q$-vertex operators and its application to solvable vertex models

Nakayashiki, Atsushi

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p. 27-62

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Residue formulas for the large $k$ asymptotics of Witten's invariants of Seifert manifolds. The case of ${\rm SU}(2)$

Rozansky, L.

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p. 27-60

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Morse homotopy and Chern-Simons perturbation theory

Fukaya, Kenji

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p. 37-90

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From Dynkin diagram symmetries to fixed point structures

Fuchs, Jürgen ; Schellekens, Bert ; Schweigert, Christoph

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p. 39-97

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Non-commutative chaotic expansion of Hilbert-Schmidt operators on Fock space

Attal, Stéphane

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p. 43-62

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Scalar conservation laws with discontinuous flux function. II. On the stability of the viscous profiles

Diehl, S. ; Wallin, N.-O.

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p. 45-71

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Conformal field theories, representations and lattice constructions

Dolan, L. ; Goddard, P. ; Montague, P.

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p. 61-120

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On the classification of quantum Poincaré groups

Podleś, P. ; Woronowicz, S. L.

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p. 61-82

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The Boltzmann-Grad limit for a one-dimensional Boltzmann equation in a stationary state

Caprino, S. ; Pulvirenti, M.

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p. 63-81

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Functional equation for dynamical zeta functions of Milnor-Thurston type

Ruelle, David

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p. 63-88

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Quantization of a class of piecewise affine transformations on the torus

De Bièvre, S. ; Degli Esposti, M. ; Giachetti, R.

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p. 73-94

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Equipartition of the eigenfunctions of quantized ergodic maps on the torus

Bouzouina, A. ; De Bièvre, S.

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p. 83-105

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Percolation techniques in disordered spin flip dynamics: relaxation to the unique invariant measure

Gielis, G. ; Maes, C.

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p. 83-101

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Spectra, eigenvectors and overlap functions for representation operators of $q$-deformed algebras

Klimyk, A. U. ; Kachurik, I. I.

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p. 89-111

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Strings from $N=2$ gauged Wess-Zumino-Witten models

Ragoucy, E. ; Sevrin, A. ; Sorba, P.

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p. 91-129

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Yang-Mills and Dirac fields in a bag, constraints and reduction

Śniatycki, J\polhk{e}drzej ; Schwarz, Günter ; Bates, Larry

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p. 95-115

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On tangential star products for the coadjoint Poisson structure

Cahen, M. ; Gutt, S. ; Rawnsley, J.

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p. 99-108

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Scaling limit for a mechanical system of interacting particles

Uchiyama, Kôhei

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p. 103-128

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A simple geometric representative for $\mu$ of a point

Sadun, Lorenzo

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p. 107-113

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Spiders for rank $2$ Lie algebras

Kuperberg, Greg

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p. 109-151

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Universal Drinfel'd-Sokolov reduction and matrices of complex size

Khesin, Boris ; Malikov, Feodor

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p. 113-134

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Stable singularities in string theory

Aspinwall, Paul S. ; Morrison, David R.

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p. 115-134

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Dirichlet form approach to infinite-dimensional Wiener processes with singular interactions

Osada, Hirofumi

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p. 117-131

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Automorphism modular invariants of current algebras

Gannon, T. ; Ruelle, P. ; Walton, M. A.

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p. 121-156

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$N=2$ structures on solvable Lie algebras: the $c=9$ classification

Figueroa-O'Farrill, José M.

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p. 129-156

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Toda lattice hierarchy and generalized string equations

Takasaki, Kanehisa

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p. 131-156

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Conformal blocks on elliptic curves and the Knizhnik-Zamolodchikov-Bernard equations

Felder, Giovanni ; Wieczerkowski, Christian

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p. 133-161

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On the Lieb-Thirring constants $L_{\gamma,1}$ for $\gamma\geq 1/2$

Weidl, Timo

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p. 135-146

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Compensations in small divisor problems

Chierchia, L. ; Falcolini, C.

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p. 135-160

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Operator coproduct-realization of quantum group transformations in two-dimensional gravity. I

Cremmer, Eugène ; Gervais, Jean-Loup ; Schnittger, Jens

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p. 147-177

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Global solutions to the compressible Euler equations with geometrical structure

Chen, Gui-Qiang ; Glimm, James

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p. 153-193

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Spectral decomposition of path space in solvable lattice model

Arakawa, Tomoyuki ; Nakanishi, Tomoki ; Oshima, Kazuyuki ; Tsuchiya, Akihiro

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p. 157-182

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On the universal $R$-matrix of $U_q\widehat{\rm sl}_2$ at roots of unity

Hakobyan, T. ; Sedrakyan, A.

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p. 157-171

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Induced modules for vertex operator algebras

Dong, Chongying ; Lin, Zongzhu

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p. 157-183

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Free $q$-Schrödinger equation from homogeneous spaces of the $2$-dim Euclidean quantum group

Bonechi, F. ; Ciccoli, N. ; Giachetti, R. ; Sorace, E. ; Tarlini, M.

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p. 161-176

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Arithmetic properties of mirror map and quantum coupling

Lian, Bong H. ; Yau, Shing-Tung

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p. 163-191

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On the layering transition of an SOS surface interacting with a wall. II. The Glauber dynamics

Cesi, Filippo ; Martinelli, Fabio

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p. 173-201

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The integrable hierarchy constructed from a pair of KdV-type hierarchies and its associated $W$ algebra

Bonora, L. ; Liu, Q. P. ; Xiong, C. S.

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p. 177-202

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Crystallizing the spinon basis

Nakayashiki, Atsushi ; Yamada, Yasuhiko

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p. 179-200

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White noise perturbation of the viscous shock fronts of the Burgers equation

Wehr, J. ; Xin, J.

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p. 183-203

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Target-space duality between simple compact Lie groups and Lie algebras under the Hamiltonian formalism. I. Remnants of duality at the classical level

Alvarez, Orlando ; Liu, Chien-Hao

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p. 185-213

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Renormalizability proof for QED based on flow equations

Keller, Georg ; Kopper, Christoph

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p. 193-226

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Analytic expressions for singular vectors of the $N=2$ superconformal algebra

Dörrzapf, Matthias

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p. 195-231

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Extrinsic Hermitian geometry of functional determinants for vector subbundles and the Drinfel'd-Sokolov ghost system

Zucchini, Roberto

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p. 201-224

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Schwinger terms and cohomology of pseudodifferential operators

Cederwall, Martin ; Ferretti, Gabriele ; Nilsson, Bengt E. W. ; Westerberg, Anders

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p. 203-220

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Surfaces on Lie groups, on Lie algebras, and their integrability

Fokas, A. S. ; Gelfand, I. M.

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p. 203-220

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Hecke algebras at roots of unity and crystal bases of quantum affine algebras

Lascoux, Alain ; Leclerc, Bernard ; Thibon, Jean-Yves

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p. 205-263

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Zeta function determinant of the Laplace operator on the $D$-dimensional ball

Bordag, M. ; Geyer, B. ; Kirsten, K. ; Elizalde, E.

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p. 215-234

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Variational characterization of the speed of propagation of fronts for the nonlinear diffusion equation

Benguria, R. D. ; Depassier, M. C.

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p. 221-227

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Semiclassical study of quantum scattering on the line

Ramond, Thierry

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p. 221-254

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Čech cocycles for characteristic classes

Brylinski, J.-L. ; McLaughlin, D. A.

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p. 225-236

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On the pointwise behavior of semi-classical measures

Paul, T. ; Uribe, A.

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p. 229-258

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A matrix integral solution to $[P,Q]=P$ and matrix Laplace transforms

Adler, M. ; Morozov, A. ; Shiota, T. ; van Moerbeke, P.

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p. 233-263

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Almost flat planar diagrams

Kazakov, Vladimir A. ; Staudacher, Matthias ; Wynter, Thomas

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p. 235-256

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Quantum affine algebras and deformations of the Virasoro and ${\scr W}$-algebras

Frenkel, Edward ; Reshetikhin, Nikolai

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p. 237-264

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Necessary conditions for existence of non-degenerate Hamiltonian structures

Bogoyavlenskij, Oleg I.

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p. 253-289

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The isoperimetric problem for pinwheel tilings

Radin, Charles ; Sadun, Lorenzo

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p. 255-263

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Homotopy classification of minimizers of the Ginzburg-Landau energy and the existence of permanent currents

Rubinstein, Jacob ; Sternberg, Peter

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p. 257-263

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Uniform boundedness of the solutions for a one-dimensional isentropic model system of compressible viscous gas

Matsumura, Akitaka ; Yanagi, Shigenori

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p. 259-274

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Growth and oscillations of solutions of nonlinear Schrödinger equation

Kuksin, Sergei B.

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p. 265-280

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Yangians, integrable quantum systems and Dorey's rule

Chari, Vyjayanthi ; Pressley, Andrew

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p. 265-302

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$W$-geometry of the Toda systems associated with non-exceptional simple Lie algebras

Gervais, Jean-Loup ; Saveliev, Mikhail V.

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p. 265-296

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Graphs and reflection groups

Zuber, J.-B.

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p. 265-294

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A contribution of the trivial connection to the Jones polynomial and Witten's invariant of $3$d manifolds. I

Rozansky, L.

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p. 275-296

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The Gervais-Neveu-Felder equation and the quantum Calogero-Moser systems

Avan, J. ; Babelon, O. ; Billey, E.

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p. 281-299

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Supersymmetric $\sigma$-models, twistors, and the Atiyah-Hitchin metric

Ivanov, Ivan T. ; Roček, M.

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p. 291-302

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Quantization of Poisson-Lie groups and applications

Bidegain, Frederic ; Pinczon, Georges

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p. 295-332

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Witten's invariants of rational homology spheres at prime values of $K$ and trivial connection contribution

Rozansky, L.

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p. 297-324

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A contribution of the trivial connection to the Jones polynomial and Witten's invariant of $3$d manifolds. II

Rozansky, L.

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p. 297-318

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An anomaly associated with $4$-dimensional quantum gravity

Branson, Thomas

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p. 301-309

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Splitting of the family index

Dai, Xianzhe ; Zhang, Weiping

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p. 303-317

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Geometry of the space of triangulations of a compact manifold

Nabutovsky, A.

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p. 303-330

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Integrability and Huygens' principle on symmetric spaces

Chalykh, Oleg A. ; Veselov, Alexander P.

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p. 311-338

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Quantization of solitons and the restricted sine-Gordon model

Babelon, O. ; Bernard, D. ; Smirnov, F. A.

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p. 319-354

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Scattering states of plektons (particles with braid group statistics) in $(2+1)$-dimensional quantum field theory

Fredenhagen, Klaus ; Gaberdiel, Matthias R. ; Rüger, Stefan M.

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p. 319-335

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Long time behavior for the focusing nonlinear Schroedinger equation with real spectral singularities

Kamvissis, Spyridon

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p. 325-341

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Link invariants and combinatorial quantization of Hamiltonian Chern-Simons theory

Buffenoir, E. ; Roche, Ph.

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p. 331-365

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Convergence of shock capturing schemes for the compressible Euler-Poisson equations

Chen, G.-Q. ; Wang, D.

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p. 333-364

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Solitons and helices: the search for a math-physics bridge

Zaslow, Eric

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p. 337-375

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Global spherically symmetric solutions to the equations of a viscous polytropic ideal gas in an exterior domain

Jiang, Song

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p. 339-374

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Tetrahedral and cubic monopoles

Houghton, C. J. ; Sutcliffe, P. M.

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p. 343-361

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On Lieb-Thirring inequalities for higher order operators with critical and subcritical powers

Netrusov, Y. ; Weidl, T.

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p. 355-370

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Quaternionic monopoles

Okonek, Christian ; Teleman, Andrei

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p. 363-388

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Meyer's concept of quasicrystal and quasiregular sets

Lagarias, J. C.

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p. 365-376

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Logarithmic Sobolev inequality for lattice gases with mixing conditions

Yau, Horng-Tzer

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p. 367-408

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Heat-kernels and functional determinants on the generalized cone

Bordag, Michael ; Kirsten, Klaus ; Dowker, Stuart

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p. 371-393

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The Robinson-Trautman type III prolongation structure contains $K_2$

Finley, J. D.

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p. 375-390

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Quantum discrete sine-Gordon model at roots of $1$: integrable quantum system on the integrable classical background

Bazhanov, V. ; Bobenko, A. ; Reshetikhin, N.

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p. 377-400

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Absolutely continuous spectrum of one-dimensional Schrödinger operators and Jacobi matrices with slowly decreasing potentials

Kiselev, A.

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p. 377-400

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Dynamic stability of vortex solutions of Ginzburg-Landau and nonlinear Schrödinger equations

Weinstein, M. I. ; Xin, J.

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p. 389-428

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On the breakdown of axisymmetric smooth solutions for the 3-D Euler equations

Chae, Dongho ; Kim, Namkwon

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p. 391-398

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Navier-Stokes equations for stochastic particle systems on the lattice

Esposito, R. ; Marra, R. ; Yau, H. T.

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p. 395-456

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Algebraic quantization, good operators and fractional quantum numbers

Aldaya, V. ; Calixto, M. ; Guerrero, J.

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p. 399-424

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Quantum ${\scr W}_N$ algebras and Macdonald polynomials

Awata, H. ; Kubo, H. ; Odake, S. ; Shiraishi, J.

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p. 401-416

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The strong decay to equilibrium for the stochastic dynamics of unbounded spin systems on a lattice

Zegarlinski, Boguslaw

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p. 401-432

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Low temperature phase diagrams for quantum perturbations of classical spin systems

Borgs, C. ; Kotecký, R. ; Ueltschi, D.

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p. 409-446

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The large time stability of sound waves

Temple, B. ; Young, R.

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p. 417-466

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Exact operator solution of the Calogero-Sutherland model

Lapointe, Luc ; Vinet, Luc

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p. 425-452

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On finite $4$D quantum field theory in non-commutative geometry

Grosse, H. ; Klimčík, C. ; Prešnajder, P.

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p. 429-438

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Blow-up results of virial type for Zakharov equations

Merle, Frank

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p. 433-455

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Localization of classical waves. I. Acoustic waves

Figotin, Alexander ; Klein, Abel

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p. 439-482

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A variational problem for a system of magnetic monopoles joined by Abrikosov vortices

Fröhlich, J. ; Leupp, M. ; Studer, U. M.

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p. 447-483

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Comments on a recent solution to Wightman's axioms

Rehren, Karl-Henning

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p. 453-465

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The characteristic exponents of the falling ball model

Simånyi, Nåndor

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p. 457-468

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Geometry of quantum principal bundles. I

{\Dbar}ur{\dbar}ević, Mićo

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p. 457-520

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Wave equations on $q$-Minkowski space

Meyer, U.

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p. 457-475

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The construction of the $(d+1)$-dimensional Gaussian droplet

Ben Arous, G. ; Deuschel, J.-D.

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p. 467-488

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Time-dependent quantum scattering in $(2+1)$-dimensional gravity

Álvarez, M. ; de Carvalho Filho, F. M. ; Griguolo, L.

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p. 467-481

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Schur duality in the toroidal setting

Varagnolo, M. ; Vasserot, E.

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p. 469-483

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Quantum spin chains with quantum group symmetry

Fannes, M. ; Nachtergaele, B. ; Werner, R. F.

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p. 477-507

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On the continuity of the critical value for long range percolation in the exponential case

Meester, Ronald ; Steif, Jeffrey E.

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p. 483-504

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Bethe subalgebras in twisted Yangians

Nazarov, Maxim ; Olshanski, Grigori

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p. 483-506

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Statistical mechanics of the $2$-dimensional focusing nonlinear Schrödinger equation

Brydges, David C. ; Slade, Gordon

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p. 485-504

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A necessary and sufficient condition for the existence of multisolitons in a self-dual gauged sigma model

Yang, Yisong

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p. 485-506

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Mean of the singularities of a Gibbs measure

Simpelaere, D.

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p. 489-510

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The Atiyah-Singer index theorem as passage to the classical limit in quantum mechanics

Elliott, George A. ; Natsume, Toshikazu ; Nest, Ryszard

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p. 505-533

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On the continuous limit of integrable lattices. I. The Kac-Moerbeke system and KdV theory

Morosi, Carlo ; Pizzocchero, Livio

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p. 505-528

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Phase transition in continuum Potts models

Georgii, H.-O. ; Håggström, O.

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p. 507-528

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Topologically nontrivial field configurations in noncommutative geometry

Grosse, H. ; Klimčík, C. ; Prešnajder, P.

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p. 507-526

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Asymptotic completeness for $N$-body Stark Hamiltonians

Herbst, Ira ; Møller, Jacob Schach ; Skibsted, Erik

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p. 509-535

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Global weak solutions and attractors of the three-dimensional Maxwell-Bloch two level laser systems

Xin, J. ; Moloney, J.

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p. 511-528

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Supercoherent states, super-Kåhler geometry and geometric quantization

El Gradechi, Amine M. ; Nieto, Luis M.

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p. 521-563

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Micro-local approach to the Hadamard condition in quantum field theory on curved space-time

Radzikowski, Marek J.

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p. 529-553

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Theory of tensor invariants of integrable Hamiltonian systems. I. Incompatible Poisson structures

Bogoyavlenskij, Oleg I.

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p. 529-586

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Drinfeld-Sokolov gravity

Zucchini, Roberto

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p. 529-568

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GKZ-generalized hypergeometric systems in mirror symmetry of Calabi-Yau hypersurfaces

Hosono, S. ; Lian, B. H. ; Yau, S.-T.

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p. 535-577

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Asymptotic completeness for long-range many-particle systems with Stark effect. II

Adachi, Tadayoshi ; Tamura, Hideo

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p. 537-559

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Cut-down method in the inductive limit decomposition of non-commutative tori. III. A complete answer in $3$-dimension

Lin, Qing

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p. 555-575

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Combinatorial quantization of the Hamiltonian Chern-Simons theory. II

Alekseev, Anton Yu. ; Grosse, Harald ; Schomerus, Volker

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p. 561-604

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The spectral gap for some spin chains with discrete symmetry breaking

Nachtergaele, Bruno

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p. 565-606

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Solutions of Klein-Gordon and Dirac equations on quantum Minkowski spaces

Podleś, P.

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p. 569-585

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Time dependent periodic Navier-Stokes flows on a two-dimensional torus

Chen, Zhi-Min ; Price, W. G.

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p. 577-597

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Strong connections on quantum principal bundles

Hajac, Piotr M.

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p. 579-617

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Holomorphic bundles and many-body systems

Nekrasov, Nikita

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p. 587-603

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The Toda hierarchy and the KdV hierarchy

Gieseker, D.

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p. 587-603

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A Rohlin property for one-parameter automorphism groups

Kishimoto, A.

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p. 599-622

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The Wigner semi-circle law in quantum electrodynamics

Accardi, L. ; Lu, Y. G.

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p. 605-632

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Characterizing invariants for local extensions of current algebras

Rehren, Karl-Henning ; Stanev, Yassen S. ; Todorov, Ivan T.

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p. 605-633

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Smoothness and non-smoothness of the fundamental solution of time dependent Schrödinger equations

Yajima, Kenji

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p. 605-629

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The variational problems for classical $N$-vector models

Balaban, Tadeusz

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p. 607-642

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Quantum groups at odd roots of unity and topological invariants of $3$-manifolds

Zhang, R. B. ; Carey, A. L.

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p. 619-636

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The $1/N$-expansion as a perturbation about the mean field theory: a one-dimensional Fermi model

Marchetti, D. H. U. ; Faria da Veiga, P. A. ; Hurd, T. R.

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p. 623-646

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On isospectral sets of Jacobi operators

Gesztesy, F. ; Krishna, M. ; Teschl, G.

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p. 631-645

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The microlocal spectrum condition and Wick polynomials of free fields on curved spacetimes

Brunetti, R. ; Fredenhagen, K. ; Köhler, M.

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p. 633-652

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Scaling behaviour in the Bose gas

Broidioi, M. ; Verbeure, A.

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p. 635-660

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On the number of negative eigenvalues for a Schrödinger operator with magnetic field

Shen, Zhongwei

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p. 637-660

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The smooth cohomology of $N=2$ supersymmetric Landau-Ginzburg field theories

Klimek, Slawomir ; Lesniewski, Andrzej

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p. 643-656

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Entropic repulsion of the lattice free field. II. The $0$-boundary case

Deuschel, Jean-Dominique

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p. 647-665

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Integral representations of the Macdonald symmetric polynomials

Awata, H. ; Odake, S. ; Shiraishi, J.

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p. 647-666

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Graph invariants of Vassiliev type and application to $4$D quantum gravity

Hayashi, Nobuharu

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p. 653-670

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A symplectic structure for connections on surfaces with boundary

King, Christopher ; Sengupta, Ambar

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p. 657-671

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Chaotic properties of the elliptical stadium

Markarian, Roberto ; Oliffson Kamphorst, Sylvie ; Pinto de Carvalho, Sônia

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p. 661-679

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Spectral resonances which become eigenvalues

Pravica, David W.

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p. 661-673

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Tail estimates for one-dimensional random walk in random environment

Dembo, Amir ; Peres, Yuval ; Zeitouni, Ofer

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p. 667-683

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Proofs of two conjectures related to the thermodynamic Bethe ansatz

Tracy, C. A. ; Widom, H.

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p. 667-680

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Simple currents and extensions of vertex operator algebras

Dong, Chongying ; Li, Haisheng ; Mason, Geoffrey

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p. 671-707

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Ergodicity of eigenfunctions for ergodic billiards

Zelditch, Steven ; Zworski, Maciej

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p. 673-682

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A low temperature expansion for classical $N$-vector models. II. Renormalization group equations

Balaban, Tadeusz

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p. 675-721

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Scaling exponents and multifractal dimensions for independent random cascades

Molchan, G. M.

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p. 681-702

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Adiabatic curvature and the $S$-matrix

Sadun, Lorenzo ; Avron, Joseph E.

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p. 685-702

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Half-sided modular inclusion and the construction of the Poincaré group

Borchers, H. J.

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p. 703-723

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Decay to equilibrium in random spin systems on a lattice

Guionnet, Alice ; Zegarlinski, Boguslaw

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p. 703-732

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Limits on stability of positive molecular ions in a homogeneous magnetic field

Vugalter, S.

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p. 709-731

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Ground states of fermions on lattices

Matsui, Taku

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p. 723-751

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Lower bounds on the width of Stark-Wannier type resonances

Asch, J. ; Briet, P.

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p. 725-735

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An evolutionary picture for quantum physics

Haag, Rudolf

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p. 733-743

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Large deviations and the distribution of pre-images of rational maps

Pollicott, Mark ; Sharp, Richard

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p. 733-739

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Yang-Mills fields on cylindrical manifolds and holomorphic bundles. I

Guo, Guang-Yuan

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p. 737-775

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On representations of the elliptic quantum group $E_{\tau,\eta}({\rm sl}_2)$

Felder, Giovanni ; Varchenko, Alexander

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p. 741-761

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Deformation quantizations with separation of variables on a Kåhler manifold

Karabegov, Alexander V.

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p. 745-755

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The higher order Hamiltonian structures for the modified classical Yang-Baxter equation

Ikeda, Kaoru

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p. 757-777

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Higher Weil-Petersson volumes of moduli spaces of stable $n$-pointed curves

Kaufmann, R. ; Manin, Yu. ; Zagier, D.

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p. 763-787

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Yang-Mills fields on cylindrical manifolds and holomorphic bundles. II

Guo, Guang-Yuan

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p. 777-788

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Author index to Volumes 171--180 (1995--1996)

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p. 779-791

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