Sommaire du Fascicule no. 1

Erratum: ``Harmonization and homogenization on fractals''

Kozlov, Serguei M.

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Erratum: ``The Landau-Lifshitz equation, elliptic curves and the Ward transform''

Carey, A. L. ; Hannabuss, K. C. ; Mason, L. J. ; Singer, M. A.

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Selberg super-trace formula for super Riemann surfaces. II. Elliptic and parabolic conjugacy classes, and Selberg super-zeta functions

Grosche, C.

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p. 1-37

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Convergence of the Godunov scheme for a simplified one-dimensional hydrodynamic model for semiconductor devices

Zhang, Bo

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p. 1-22

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Asymptotic properties of generalized eigenfunctions for three body Schrödinger operators

Isozaki, Hiroshi

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p. 1-21

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The Selberg trace formula for bordered Riemann surfaces

Bolte, J. ; Steiner, F.

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p. 1-16

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Strict inequality for critical values of Potts models and random-cluster processes

Bezuidenhout, C. E. ; Grimmett, G. R. ; Kesten, H.

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p. 1-16

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Editorial (dedication of this issue to Huzihiro Araki)

Connes, Alain ; Flato, Moshé ; Hironaka, Heisuke ; Jaffe, Arthur ; Jones, Vaughan

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p. 1-2

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Generalized hypergeometric functions on the torus and the adjoint representation of $U_q({\rm sl}_2)$

Crivelli, M. ; Felder, G. ; Wieczerkowski, C.

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p. 1-23

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The automorphism group of the irrational rotation $C^*$-algebra

Elliott, George A. ; Rørdam, Mikael

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p. 3-26

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A one-parameter family of Hamiltonian structures for the KP hierarchy and a continuous deformation of the nonlinear $W_{{\rm KP}}$ algebra

Figueroa-O'Farrill, José M. ; Mas, Javier ; Ramos, Eduardo

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p. 17-43

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Stable equivalence of the weak closures of free groups convolution algebras

Rădulescu, Florin

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p. 17-36

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Spectral properties of random Schrödinger operators with unbounded potentials

Gordon, Y. A. ; Jakšić, V. ; Molčanov, S. ; Simon, B.

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p. 23-50

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General integrable problems of classical mechanics

Bogoyavlenskij, O. I.

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p. 23-47

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The Landau-Lifshitz equation, elliptic curves and the Ward transform

Carey, A. L. ; Hannabuss, K. C. ; Mason, L. J. ; Singer, M. A.

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p. 25-47

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Optimal hypercontractivity for Fermi fields and related noncommutative integration inequalities

Carlen, Eric A. ; Lieb, Elliott H.

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p. 27-46

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The full diagonal model of a Bose gas

Dorlas, T. C. ; Lewis, J. T. ; Pulé, J. V.

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p. 37-65

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Small volume limits of $2$-d Yang-Mills

Forman, Robin

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p. 39-52

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Spectral properties of one-dimensional Schrödinger operators with potentials generated by substitutions

Bovier, Anton ; Ghez, Jean-Michel

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p. 45-66

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Crystal base and $q$-vertex operators

Date, Etsurō ; Jimbo, Michio ; Okado, Masato

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p. 47-69

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Super-Toeplitz operators and nonperturbative deformation quantization of supermanifolds

Borthwick, David ; Klimek, Sławomir ; Lesniewski, Andrzej ; Rinaldi, Maurizio

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p. 49-76

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Vortices and localization in Euler flows

Marchioro, Carlo ; Pulvirenti, Mario

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p. 49-61

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Constrained KP hierarchy and bi-Hamiltonian structures

Oevel, W. ; Strampp, W.

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p. 51-81

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On the topology of black holes

Galloway, Gregory J.

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p. 53-66

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A concept of the mass center of a system of material points in the constant curvature spaces

Gal'perin, G. A.

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p. 63-84

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Global solutions of the relativistic Euler equations

Smoller, Joel ; Temple, Blake

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p. 67-99

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Regularity of weak solutions to a two-dimensional modified Dirac-Klein-Gordon system of equations

Zheng, Yu Xi

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p. 67-87

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Quantum deformation of BRST algebra

Watamura, Satoshi

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p. 67-92

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The analogues of entropy and of Fisher's information measure in free probability theory. I

Voiculescu, Dan

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p. 71-92

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On a ferromagnetic spin chain

Knauf, Andreas

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p. 77-115

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Half-sided modular inclusions of von-Neumann-algebras

Wiesbrock, Hans-Werner

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p. 83-92

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Tetrahedral Zamolodchikov algebras corresponding to Baxter's $L$-operators

Korepanov, I. G.

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p. 85-97

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Diagonalization of the $XXZ$ Hamiltonian by vertex operators

Davies, Brian ; Foda, Omar ; Jimbo, Michio ; Miwa, Tetsuji ; Nakayashiki, Atsushi

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p. 89-153

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Noncomputability arising in dynamical triangulation model of four-dimensional quantum gravity

Nabutovsky, A. ; Ben-Av, R.

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p. 93-98

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Weyl's problem for the spectral distribution of Laplacians on p.c.f. self-similar fractals

Kigami, Jun ; Lapidus, Michel L.

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p. 93-125

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The topological structure of the unitary and automorphism groups of a factor

Popa, Sorin ; Takesaki, Masamichi

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p. 93-101

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A dynamical approach to symplectic and spectral invariants for billiards

Amiran, Edoh Y.

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p. 99-110

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Tau-functions and generalized integrable hierarchies

Hollowood, Timothy ; Miramontes, J. Luis

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p. 99-117

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The Efimov effect. Discrete spectrum asymptotics

Sobolev, A. V.

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p. 101-126

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Transgression and the Chern character of finite-dimensional $K$-cycles

Connes, Alain ; Moscovici, Henri

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p. 103-122

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Singularity, complexity, and quasi-integrability of rational mappings

Falqui, G. ; Viallet, C.-M.

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p. 111-125

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Normalizability of one-dimensional quasi-exactly solvable Schrödinger operators

Gonzålez-López, Artemio ; Kamran, Niky ; Olver, Peter J.

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p. 117-146

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Free boson representation of $q$-vertex operators and their correlation functions

Kato, Akishi ; Quano, Yas-Hiro ; Shiraishi, Jun'ichi

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p. 119-137

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Extensions of automorphisms and gauge symmetries

Buchholz, Detlev ; Doplicher, Sergio ; Longo, Roberto ; Roberts, John E.

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p. 123-134

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On sums of $q$-independent ${\rm SU}_q(2)$ quantum variables

Lenczewski, Romuald

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p. 127-134

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Quantum symmetry and braid group statistics in $G$-spin models

Szlachånyi, K. ; Vecsernyés, P.

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p. 127-168

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On two integrable cellular automata

Bobenko, Alexander ; Bordemann, Martin ; Gunn, Charlie ; Pinkall, Ulrich

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p. 127-134

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Quantum Grassmann manifolds

Š\soft{t}ovíček, P.

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p. 135-153

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Renormalization group and the ultraviolet problem in the Luttinger model

Gentile, G. ; Scoppola, B.

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p. 135-179

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Quantum forms of tensor products

Kastler, Daniel ; Testard, Daniel

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p. 135-142

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Ising model and $N=2$ supersymmetric theories

Cecotti, Sergio ; Vafa, Cumrun

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p. 139-178

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Random walk representations and the Mayer expansion in the $N$-vector model

Ito, Keiichi R.

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p. 143-156

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Nonlinear stability of overcompressive shock waves in a rotationally invariant system of viscous conservation laws

Freistühler, Heinrich ; Liu, Tai-Ping

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p. 147-158

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On an algebraic approach to higher-dimensional statistical mechanics

Martin, Paul ; Saleur, Hubert

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p. 155-190

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Generalized classical BRST cohomology and reduction of Poisson manifolds

Kimura, Takashi

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p. 155-182

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Subalgebras of infinite $C^*$-algebras with finite Watatani indices. I. Cuntz algebras

Izumi, Masaki

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p. 157-182

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Meromorphic $c=24$ conformal field theories

Schellekens, A. N.

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p. 159-185

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Densité des vecteurs propres généralisés d'une classe d'opérateurs compacts non auto-adjoints et applications

Aimar, Marie-Thérèse ; Intissar, Abdelkader ; Paoli, Jean-Martin

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p. 169-177

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${\scr W}$-algebras, new rational models and completeness of the $c=1$ classification

Flohr, Michael

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p. 179-212

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Multivalued fields on the complex plane and conformal field theories

Ferrari, Franco

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p. 179-200

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Generalized Drinfel'd-Sokolov reductions and KdV type hierarchies

Fehér, L. ; Harnad, J. ; Marshall, I.

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p. 181-214

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Stability for a class of bilocal Hamiltonians

Jaffe, Arthur ; Lesniewski, Andrzej ; Osterwalder, Konrad

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p. 183-197

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A relation between a.c. spectrum of ergodic Jacobi matrices and the spectra of periodic approximants

Last, Y.

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p. 183-192

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Generalized Drinfel'd-Sokolov hierarchies. II. The Hamiltonian structures

Burroughs, Nigel J. ; de Groot, Mark F. ; Hollowood, Timothy J. ; Miramontes, J. Luis

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p. 187-215

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Symmetry breaking in Heisenberg antiferromagnets

Koma, Tohru ; Tasaki, Hal

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p. 191-214

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Polynomial averages in the Kontsevich model

Di Francesco, P. ; Itzykson, C. ; Zuber, J.-B.

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p. 193-219

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Local quantum physics and models

Haag, Rudolf

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p. 199-204

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Modular structure and duality in conformal quantum field theory

Brunetti, R. ; Guido, D. ; Longo, R.

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p. 201-219

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Gravity in noncommutative geometry

Chamseddine, A. H. ; Felder, G. ; Fröhlich, J.

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p. 205-217

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Singular measures in circle dynamics

Graczyk, Jacek ; Świątek, Grzegorz

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p. 213-230

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Crystal base and a generalization of the Littlewood-Richardson rule for the classical Lie algebras

Nakashima, Toshiki

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p. 215-243

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Are there chaotic tilings?

Berend, Daniel ; Radin, Charles

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p. 215-219

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On the Haar measure of the quantum ${\rm SU}(N)$ group

Nagy, Gabriel

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p. 217-228

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The extended loop group: an infinite-dimensional manifold associated with the loop space

Di Bartolo, Cayetano ; Gambini, Rodolfo ; Griego, Jorge

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p. 217-240

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String theory and the Donaldson polynomial

Harvey, Jeffrey A. ; Strominger, Andrew

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p. 221-232

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Mean field theory of directed polymers with random complex weights

Derrida, B. ; Evans, M. R. ; Speer, E. R.

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p. 221-244

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Front solutions for the Ginzburg-Landau equation

Eckmann, J.-P. ; Gallay, Th.

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p. 221-248

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On concentration of positive bound states of nonlinear Schrödinger equations

Wang, Xuefeng

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p. 229-244

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Algebraic characterization of the Wess-Zumino consistency conditions in gauge theories

Sorella, Silvio P.

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p. 231-243

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The logarithm of the derivative operator and higher spin algebras of $W_\infty$ type

Bakas, Ioannis ; Khesin, Boris ; Kiritsis, Elias

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p. 233-243

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Monopoles, braid groups, and the Dirac operator

Cohen, Ralph L. ; Jones, John D. S.

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p. 241-266

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Perturbative renormalization of composite operators via flow equations. II. Short distance expansion

Keller, G. ; Kopper, C.

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p. 245-276

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Global weak solutions of the Vlasov-Maxwell system with boundary conditions

Guo, Yan

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p. 245-263

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${\scr W}$-geometry

Hull, C. M.

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p. 245-275

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Localization at large disorder and at extreme energies: an elementary derivation

Aizenman, Michael ; Molchanov, Stanislav

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p. 245-278

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Topological field theory and rational curves

Aspinwall, Paul S. ; Morrison, David R.

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p. 245-262

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A center-stable manifold theorem for differential equations in Banach spaces

Gallay, Th.

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p. 249-268

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Jackson integrals of Jordan-Pochhammer type and quantum Knizhnik-Zamolodchikov equations

Matsuo, Atsushi

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p. 263-273

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The Krichever map, vector bundles over algebraic curves, and Heisenberg algebras

Adams, M. R. ; Bergvelt, M. J.

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p. 265-305

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On the bi-Hamiltonian structure of the supersymmetric KdV hierarchies. A Lie superalgebraic approach

Morosi, Carlo ; Pizzocchero, Livio

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p. 267-288

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A Polyakov action on Riemann surfaces. II

Zucchini, Roberto

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p. 269-297

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Le langage des espaces et des groupes quantiques

Maltsiniotis, Georges

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p. 275-302

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Isomorphism of two realizations of quantum affine algebra $U_q({\germ g}{\germ l}(n))$

Ding, Jin Tai ; Frenkel, Igor B.

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p. 277-300

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On the spectral problem for anyons

Baker, Garth A. ; Canright, Geoff S. ; Mulay, Shashikant B. ; Sundberg, Carl

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p. 277-295

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Hamiltonian BRST--anti-BRST theory

Grégoire, Philippe ; Henneaux, Marc

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p. 279-303

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A self-dual Yang-Mills hierarchy and its reductions to integrable systems in $1+1$ and $2+1$ dimensions

Ablowitz, Mark J. ; Chakravarty, Sarbarish ; Takhtajan, Leon A.

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p. 289-314

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Nonlinear wave and Schrödinger equations. I. Instability of periodic and quasiperiodic solutions

Sigal, I. M.

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p. 297-320

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A family of Poisson structures on Hermitian symmetric spaces

Khoroshkin, Sergei ; Radul, Andrey ; Rubtsov, Vladimir

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p. 299-315

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Topological orbifold models and quantum cohomology rings

Zaslow, Eric

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p. 301-331

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Existence of infinitely many smooth, static, global solutions of the Einstein/Yang-Mills equations

Smoller, J. A. ; Wasserman, A. G.

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p. 303-325

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Bicovariant quantum algebras and quantum Lie algebras

Schupp, Peter ; Watts, Paul ; Zumino, Bruno

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p. 305-329

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The quotient construction for a class of compact Einstein manifolds

McInnes, Brett

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p. 307-312

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Spectral statistics on Zoll surfaces

Uribe, Alejandro ; Zelditch, Steven

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p. 313-346

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Internal Lifschitz singularities for one-dimensional Schrödinger operators

Mezincescu, G. A.

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p. 315-325

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Classical $A_n$-$W$-geometry

Gervais, Jean-Loup ; Matsuo, Yutaka

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p. 317-368

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Classification of generic $3$-dimensional Lagrangian singularities with $(Z_2)^l$-symmetries

Janeczko, Stanisław ; Kowalczyk, Adam

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p. 321-337

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A sharp lower bound for the Hausdorff dimension of the global attractors of the $2$D Navier-Stokes equations

Liu, Vincent Xiaosong

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p. 327-339

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Partially ${\rm U}(1)$ compactified scalar massless field on the compact Riemann surface and the bosonic string amplitudes

Zinoviev, Yu. M.

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p. 327-353

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Quantum group symmetry of partition functions of IRF models and its application to Jones' index theory

Hayashi, Takahiro

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p. 331-345

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Total cross sections in $N$-body problems: finiteness and high energy asymptotics

Wang, Xue Ping

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p. 333-354

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Harmonization and homogenization on fractals

Kozlov, Serguei M.

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p. 339-357

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Ferromagnetism in the Hubbard model. Examples from models with degenerate single-electron ground states

Mielke, Andreas ; Tasaki, Hal

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p. 341-371

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Orthogonality and completeness of the Bethe ansatz eigenstates of the nonlinear Schroedinger model

Dorlas, T. C.

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p. 347-376

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Stark resonances: asymptotics and distributional Borel sum

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

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p. 347-357

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On the spectra of randomly perturbed expanding maps

Baladi, V. ; Young, L.-S.

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p. 355-385

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A combinatorial approach to topological quantum field theories and invariants of graphs

Karowski, M. ; Schrader, R.

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p. 355-402

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Superderivations and symmetric Markov semigroups

Davies, E. Brian ; Lindsay, J. Martin

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p. 359-370

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Duals of crystallographic groups. Band and quasi-band representations

Bacry, Henri

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p. 359-390

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Renormalization for golden circles

Stirnemann, Andreas

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p. 369-431

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Exotic states in long-range spin glasses

Gandolfi, A. ; Newman, C. M. ; Stein, D. L.

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p. 371-387

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Semiclassical approximation in Batalin-Vilkovisky formalism

Schwarz, Albert

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p. 373-396

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Existence of black hole solutions for the Einstein-Yang/Mills equations

Smoller, J. A. ; Wasserman, A. G. ; Yau, S.-T.

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p. 377-401

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The integrated density of states for the difference Laplacian on the modified Koch graph

Malozemov, Leonid

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p. 387-397

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Moment maps at the quantum level

Lu, Jiang-Hua

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p. 389-404

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Geometry and kinematics of two skyrmions

Atiyah, M. F. ; Manton, N. S.

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p. 391-422

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Nonpersistence of breather families for the perturbed sine Gordon equation

Denzler, Jochen

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p. 397-430

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Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics

Lu, Sheng Lin ; Yau, Horng-Tzer

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p. 399-433

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Isospectral deformations of random Jacobi operators

Knill, Oliver

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p. 403-426

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Vacuum expectation values of products of chiral currents in $3+1$ dimensions

Mickelsson, Jouko

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p. 403-420

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Some remarkable degenerations of quantum groups

De Concini, C. ; Kac, V. G. ; Procesi, C.

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p. 405-427

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Correlation functions in the Itzykson-Zuber model

Shatashvili, Samson L.

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p. 421-432

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The correlation of length spectra of two hyperbolic surfaces

Schwartz, Richard ; Sharp, Richard

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p. 423-430

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Poisson measure representation and cluster expansion in classical statistical mechanics

Rebenko, Alexei L.

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p. 427-435

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Quasifinite highest weight modules over the Lie algebra of differential operators on the circle

Kac, Victor ; Radul, Andrey

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p. 429-457

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Dynamical systems on quantum tori Lie algebras

Hoppe, Jens ; Olshanetsky, Michail ; Theisen, Stefan

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p. 429-448

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Recovery of singularities for formally determined inverse problems

Sun, Zi Qi ; Uhlmann, Gunther

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p. 431-445

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Massive fields of arbitrary spin in curved space-times

Illge, Reinhard

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p. 433-457

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The Cauchy problem for nonlinear Klein-Gordon equations

Simon, Jacques C. H. ; Taflin, Erik

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p. 433-478

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Chern-Simons theory with finite gauge group

Freed, Daniel S. ; Quinn, Frank

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p. 435-472

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The integrability criterion in ${\rm SU}(2)$ Chern-Simons gauge theory

Daskalopoulos, Georgios ; Wentworth, Richard

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p. 437-445

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When is an interacting particle system ergodic?

Maes, Christian ; Shlosman, Senya B.

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BRST model for equivariant cohomology and representatives for the equivariant Thom class

Kalkman, Jaap

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p. 447-463

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An algebraic characterization of vacuum states in Minkowski space

Buchholz, Detlev ; Summers, Stephen J.

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p. 449-458

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Form factors, deformed Knizhnik-Zamolodchikov equations and finite-gap integration

Smirnov, Fedor A.

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Cyclic monodromy matrices for ${\rm sl}(n)$ trigonometric $R$-matrices

Tarasov, Vitaly

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A quiver quantum group

Cibils, Claude

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p. 459-477

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Difference almost-periodic Schrödinger operators: corollaries of localization

Soshnikov, Alexander

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Holonomy groups and $W$-symmetries

Howe, P. S. ; Papadopoulos, G.

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The operator quantization of the open bosonic string: field algebra

Grundling, Hendrik ; Hurst, C. A.

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p. 473-525

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Linear adiabatic theory. Exponential estimates

Nenciu, G.

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Quantum algebra structure of certain Jackson integrals

Matsuo, Atsushi

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On the long time behavior of the doubly infinite Toda lattice under initial data decaying at infinity

Kamvissis, Spyridon

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p. 479-519

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Instantons and representations of an associative algebra

Hashimoto, Yoshitake

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Quantization and representation theory of finite $W$ algebras

de Boer, Jan ; Tjin, Tjark

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Complex quantum group, dual algebra and bicovariant differential calculus

Carow-Watamura, Ursula ; Watamura, Satoshi

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$p$-adic Heisenberg group and Maslov index

Zelenov, E. I.

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Dynamical entropy of space translations of CAR and CCR algebras with respect to quasi-free states

Park, Yong Moon ; Shin, Hyun Hye

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$W$-algebras and superalgebras from constrained WZW models: a group theoretical classification

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

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Asymptotic differentiable structure on Cantor set

Jiang, Yun Ping

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The Yamada polynomial of spacial graphs and knit algebras

Murakami, Jun

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Equivalence of extrinsic and intrinsic quantization for observables not preserving the vertical polarization

Emmrich, C.

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Perturbation theory for the decay rate of eigenfunctions in the generalized $N$-body problem

Herbst, I.

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Chern-Simons invariants of $3$-manifolds decomposed along tori and the circle bundle over the representation space of $T^2$

Kirk, Paul ; Klassen, Eric

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Hydrodynamical limit for a Hamiltonian system with weak noise

Olla, S. ; Varadhan, S. R. S. ; Yau, H.-T.

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Invariant connections and vortices

García-Prada, Oscar

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Equivalence of Dirac and intrinsic quantization for nonfree group actions

Emmrich, C.

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Conformal quantum field theory and half-sided modular inclusions of von Neumann algebras

Wiesbrock, Hans-Werner

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Geometry and integrability of topological-antitopological fusion

Dubrovin, B.

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Global existence and asymptotic behavior of solutions for the Maxwell-Schrödinger equations in three space dimensions

Tsutsumi, Yoshio

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Nahm's equations and hyper-Kåhler geometry

Dancer, Andrew S.

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Construction of the two-dimensional sine-Gordon model for $\beta<8\pi$

Dimock, J. ; Hurd, T. R.

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Recovering singularities of a potential from singularities of scattering data

Greenleaf, Allan ; Uhlmann, Gunther

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p. 549-572

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Methods of KAM-theory for long-range quasi-periodic operators on ${\bf Z}^\nu$. Pure point spectrum

Chulaevsky, V. A. ; Dinaburg, E. I.

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Invariants of $2+1$ gravity

Nelson, J. E. ; Regge, T.

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An algebraic approach to the planar coloring problem

Kauffmann, Louis ; Saleur, H.

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Operator algebras and conformal field theory

Gabbiani, Fabrizio ; Fröhlich, Jürg

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On classification of $N=2$ supersymmetric theories

Cecotti, Sergio ; Vafa, Cumrun

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Higher-dimensional classical $W$-algebras

Martínez-Morås, Fernando ; Ramos, Eduardo

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Boundedness for large $\vert x\vert $ of suitable weak solutions of the Navier-Stokes equations with prescribed velocity at infinity

Grunau, Hans-Christoph

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Comment on the generation number in orbifold compactifications

Erler, Jens ; Klemm, Albrecht

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Primitive ideals of ${\bf C}_q[{\rm SL}(3)]$

Hodges, Timothy J. ; Levasseur, Thierry

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Factorization of random Jacobi operators and Båcklund transformations

Knill, Oliver

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Quantum group gauge theory on quantum spaces

Brzeziński, Thomasz ; Majid, Shahn

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Irreducible unitary representations of quantum Lorentz group

Pusz, Wiesław

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Limits of infinite interaction radius, dimensionality and the number of components for random operators with off-diagonal randomness

Khorunzhy, A. M. ; Pastur, L. A.

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Braided matrix structure of the Sklyanin algebra and of the quantum Lorentz group

Majid, S.

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Quantum invariants at the sixth root of unity

Kirby, Robion ; Melvin, Paul ; Zhang, Xingru

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Long range scattering for nonlinear Schrödinger and Hartree equations in space dimension $n\geq 2$

Ginibre, J. ; Ozawa, T.

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Perturbation theory of Wightman functions

Steinmann, O.

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Geometry of geometrically finite one-dimensional maps

Jiang, Yun Ping

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Erratum: ``Adiabatic theorems and applications to the quantum Hall effect''

Avron, J. E. ; Seiler, R. ; Yaffe, L. G.

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