Sommaire du Fascicule no. 2

Erratum: ``On the algebraic structure of link-diagrams on a $2$-dimensional surface''

Cotta-Ramusino, Paolo ; Rinaldi, Maurizio

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Erratum: ``Determinants of Laplacians on surfaces of finite volume''

Efrat, Isaac

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Spacetime locality of the BRST formalism

Henneaux, Marc

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p. 1-13

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Signature characters for $A_2$ and $B_2$

Kent, Adrian ; Watts, Gérard

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p. 1-16

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Monotonicity properties of the family of trapezoidal maps

Brucks, K. M. ; Misiurewicz, M. ; Tresser, C.

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p. 1-12

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Metamorphoses: sudden jumps in basin boundaries

Alligood, Kathleen T. ; Tedeschini-Lalli, Laura ; Yorke, James A.

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p. 1-8

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A boundary value problem related to the Ginzburg-Landau model

Boutet de Monvel-Berthier, Anne ; Georgescu, Vladimir ; Purice, Radu

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p. 1-23

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On the determinant of elliptic differential and finite difference operators in vector bundles over $S^1$

Burghelea, D. ; Friedlander, L. ; Kappeler, T.

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p. 1-18

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The number process as low density limit of Hamiltonian models

Accardi, L. ; Lu, Y. G.

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p. 9-39

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Quantum group invariants and link polynomials

Zhang, R. B. ; Gould, M. D. ; Bracken, A. J.

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p. 13-27

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Exponentially small adiabatic invariant for the Schrödinger equation

Joye, A. ; Pfister, Ch.-Ed.

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p. 15-41

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Collisions for the quantum Coulomb Hamiltonian

Gérard, C. ; Knauf, A.

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p. 17-26

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Formulas for the derivative and critical points of topological entropy for Anosov and geodesic flows

Katok, Anatole ; Knieper, Gerhard ; Weiss, Howard

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p. 19-31

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The phase structure of the two-dimensional $N=2$ Wess-Zumino model

Janowsky, Steven A. ; Weitsman, Jonathan

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p. 25-66

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Instability in superspace

Kocharyan, A. A.

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p. 27-42

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Quantization of Chern-Simons gauge theory with complex gauge group

Witten, Edward

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p. 29-66

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Curve-straightening in closed Euclidean submanifolds

Linnér, Anders

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p. 33-49

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Condensation of a one-dimensional lattice gas

Johansson, Kurt

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p. 41-61

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Quasiperiodic motions in superquadratic time-periodic potentials

Levi, Mark

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p. 43-83

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Absence of highest-spin ground states in the Hubbard model

Sütő, Andrås

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p. 43-62

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Multiple-mode diffusion waves for viscous non-strictly hyperbolic conservation laws

Chern, I-Liang

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p. 51-61

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Unitary evolutions and horizontal lifts in quantum stochastic calculus

Applebaum, David

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p. 63-80

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Maxwell's equations in divergence form for general media with applications to MHD

van Putten, Maurice H. P. M.

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p. 63-77

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Graph theory, ${\rm SO}(n)$ current algebra and the Virasoro master equation

Halpern, M. B. ; Obers, N. A.

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p. 63-105

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Bosonic and fermionic realizations of the affine algebra $\widehat{\rm gl}_n$

ten Kroode, Fons ; van de Leur, Johan

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p. 67-107

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Propagation estimates for $N$-body Schroedinger operators

Skibsted, Erik

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p. 67-98

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Computer calculation of Witten's $3$-manifold invariant

Freed, Daniel S. ; Gompf, Robert E.

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p. 79-117

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Interfaces in the Potts model. I. Pirogov-Sinai theory of the Fortuin-Kasteleyn representation

Laanait, Lahoussine ; Messager, Alain ; Miracle-Solé, Salvador ; Ruiz, Jean ; Shlosman, Senya

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p. 81-91

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A vanishing theorem for supersymmetric quantum field theory and finite size effects in multiphase cluster expansions

Janowsky, Steven A. ; Weitsman, Jonathan

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p. 85-97

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Exchange algebra and the Drinfeld-Sokolov theorem

Babelon, O. ; Toppan, F. ; Bonora, L.

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p. 93-117

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The proper formula for relative entropy and its asymptotics in quantum probability

Hiai, Fumio ; Petz, Dénes

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p. 99-114

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Quantum group symmetries and nonlocal currents in $2$D QFT

Bernard, Denis ; LeClair, André

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p. 99-138

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Gauge theory in Witten's approach to the generation problem

McInnes, Brett

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p. 107-136

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Indecomposable modules over the Virasoro Lie algebra and a conjecture of V. Kac

Martin, Christiane ; Piard, Alain

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p. 109-132

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Smooth static solutions of the Einstein/Yang-Mills equations

Smoller, Joel A. ; Wasserman, Arthur G. ; Yau, S.-T. ; McLeod, J. B.

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p. 115-147

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Lattice gas models in contact with stochastic reservoirs: local equilibrium and relaxation to the steady state

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

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p. 119-131

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A Ruelle operator for a real Julia set

Levin, G. M. ; Sodin, M. L. ; Yuditski, P. M.

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p. 119-132

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Localization for random Schrödinger operators with correlated potentials

von Dreifus, Henrique ; Klein, Abel

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p. 133-147

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Nonlocal integrable partners to generalized MKdV and two-dimensional Toda lattice equation in the formalism of a dressing method with quantized spectral parameter

Degasperis, A. ; Lebedev, D. ; Olshanetsky, M. ; Pakuliak, S. ; Perelomov, A. ; Santini, P.

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p. 133-151

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Generalized chiral Potts models and minimal cyclic representations of $U_q(\widehat{\germ g\germ l}(n,{\bf C}))$

Date, Etsurō ; Jimbo, Michio ; Miki, Kei ; Miwa, Tetsuji

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p. 133-147

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On the algebraic structure of link-diagrams on a $2$-dimensional surface

Cotta-Ramusino, Paolo ; Rinaldi, Maurizio

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p. 137-173

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Adiabatic limits of the $\eta$-invariants. The odd-dimensional Atiyah-Patodi-Singer problem

Douglas, Ronald G. ; Wojciechowski, Krzysztof P.

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p. 139-168

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$q$-oscillator realizations of the quantum superalgebras ${\rm sl}_q(m,n)$ and ${\rm osp}_q(m,2n)$

Floreanini, Roberto ; Spiridonov, Vyacheslav P. ; Vinet, Luc

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p. 149-160

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Anomalies and curvature of $W$ manifolds

Pope, C. N. ; Romans, L. J. ; Sezgin, E. ; Shen, X.

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p. 149-157

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Super Beltrami differentials

Takama, Michiaki

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p. 149-173

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On quantum gauge theories in two dimensions

Witten, Edward

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p. 153-209

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Hidden fermionic symmetry in conformal topological field theories

Eguchi, Tohru ; Hosono, Shinobu ; Yang, Sung-Kil

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p. 159-168

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On the relation between types of local algebras in different global representations

Borchers, H.-J. ; Wollenberg, M.

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p. 161-173

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Stark Wannier ladders

Bentosela, F. ; Grecchi, V.

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p. 169-192

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BRS cohomology of the chiral superfield

Dixon, J. A.

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p. 169-201

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Quantization via real polarization of the moduli space of flat connections and Chern-Simons gauge theory in genus one

Weitsman, Jonathan

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p. 175-190

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Scattering states of charged particles in the $Z_2$ gauge theories

Barata, Joåo C. A.

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p. 175-191

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On two-dimensional supergravity and the quantum super-Möbius group

Gervais, Jean-Loup ; Rostand, Bruno

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p. 175-199

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Hidden Yangians in $2$D massive current algebras

Bernard, Denis

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p. 191-208

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Perturbation theory for periodic orbits in a class of infinite-dimensional Hamiltonian systems

Albanese, Claudio ; Fröhlich, Jürg

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p. 193-205

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A proof that Witten's open string theory gives a single cover of moduli space

Zwiebach, Barton

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p. 193-216

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Poisson geometry of the analog of the Miura maps and Båcklund-Darboux transformations for equations of Toda type and periodic Toda flows

Deift, Percy ; Li, Luen Chau

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p. 201-214

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Persistently expansive geodesic flows

Ruggiero, Rafael O.

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p. 203-215

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

Kråmli, A. ; Simånyi, N. ; Szåsz, D.

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p. 207-208

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Geometric BRST quantization. I. Prequantization

Figueroa-O'Farrill, José M. ; Kimura, Takashi

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p. 209-229

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${\rm gl}(\infty)$ and geometric quantization

Bordemann, Martin ; Hoppe, Jens ; Schaller, Peter ; Schlichenmaier, Martin

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p. 209-244

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$2+1$ gravity for genus $>1$

Nelson, J. E. ; Regge, T.

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p. 211-223

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Quantization of the Poisson ${\rm SU}(2)$ and its Poisson homogeneous space---the $2$-sphere

Sheu, Albert Jeu-Liang

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p. 217-232

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Discrete versions of some classical integrable systems and factorization of matrix polynomials

Moser, Jürgen ; Veselov, Alexander P.

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p. 217-243

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Using integrability to produce chaos: billiards with positive entropy

Donnay, Victor J.

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p. 225-257

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Strong asymptotic abelianness for entropic $K$-systems

Benatti, F. ; Narnhofer, H.

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p. 231-250

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Ergodicity of probabilistic cellular automata: a constructive criterion

Maes, Christian ; Shlosman, Senya B.

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p. 233-251

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Unitarization of a singular representation of ${\rm SO}(p,q)$

Binegar, B. ; Zierau, R.

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p. 245-258

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Intersection properties of invariant manifolds in certain twist maps

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

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p. 245-265

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Heterotic superstring gauge residue trivialization via homogeneous ${\bf C}{\rm P}^4$ topology change

Baadhio, Randy A.

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p. 251-264

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Conformally invariant gauge fixed actions for $2$-D topological gravity

Baulieu, L. ; Singer, I. M.

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p. 253-265

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Separation of phases at low temperatures in a one-dimensional continuous gas

Johansson, Kurt

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p. 259-278

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Simplex equations and their solutions

Frenkel, Igor ; Moore, Gregory

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p. 259-271

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About the exactness of the linear response theory

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

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p. 265-283

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Markov traces and ${\rm II}_1$ factors in conformal field theory

de Boer, Jan ; Goeree, Jacob

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p. 267-304

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Potentials on the two-torus for which the Hamiltonian flow is ergodic

Donnay, Victor ; Liverani, Carlangelo

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p. 267-302

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Topological couplings and contact terms in $2$d field theory

Distler, Jacques ; Nelson, Philip

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p. 273-290

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Scalings in circle maps. II

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

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p. 279-291

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Propagating fronts and the center manifold theorem

Eckmann, J.-P. ; Wayne, C. E.

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p. 285-307

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Every gauge orbit passes inside the Gribov horizon

Dell'Antonio, Gianfausto ; Zwanziger, Daniel

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p. 291-299

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Free fermions and the Alexander-Conway polynomial

Kauffman, L. H. ; Saleur, H.

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p. 293-327

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Solving the strongly coupled $2$D gravity. I. Unitary truncation and quantum group structure

Gervais, Jean-Loup

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p. 301-338

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A discretization of $p$-adic quantum mechanics

Meurice, Yannick

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p. 303-312

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Interactions and pressure functionals for disordered lattice systems

Zegarlinski, Boguslav

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p. 305-339

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Hamiltonian constructions of Kåhler-Einstein metrics and Kåhler metrics of constant scalar curvature

Pedersen, Henrik ; Poon, Y. Sun

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p. 309-326

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Scaling limits for interacting diffusions

Varadhan, S. R. S.

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p. 313-353

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Local rings of singularities and $N=2$ supersymmetric quantum mechanics

Klimek, Sławomir ; Lesniewski, Andrzej

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p. 327-344

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Differential equations in the spectral parameter, Darboux transformations and a hierarchy of master symmetries for KdV

Zubelli, Jorge P. ; Magri, Franco

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p. 329-351

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An integral representation and bounds on the effective diffusivity in passive advection by laminar and turbulent flows

Avellaneda, Marco ; Majda, Andrew J.

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p. 339-391

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Opacity of an automaton. Application to the inhomogeneous Ising chain

Mendès France, M.

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p. 341-352

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Simple WZW currents

Fuchs, Jürgen

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p. 345-356

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The Polyakov path integral over bordered surfaces. II. The closed string off-shell amplitudes

Jaskólski, Zbigniew

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p. 353-375

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Continuity properties of the electronic spectrum of $1$D quasicrystals

Bellissard, J. ; Iochum, B. ; Testard, D.

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p. 353-380

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Scaling limit for interacting Ornstein-Uhlenbeck processes

Olla, Stefano ; Varadhan, S. R. S.

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p. 355-378

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Renormalization group flow of a hierarchical sine-Gordon model by partial differential equations

Kappeler, Thomas ; Pinn, Klaus ; Wieczerkowski, Christian

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p. 357-368

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The $C^*$-algebra of bosonic strings

Wiesbrock, Hans-Werner

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p. 369-397

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Holonomy groups, complex structures and $D=4$ topological Yang-Mills theory

Galperin, A. ; Ogievetsky, O.

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p. 377-394

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Spectral properties of a tight binding Hamiltonian with period doubling potential

Bellissard, Jean ; Bovier, Anton ; Ghez, Jean-Michel

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p. 379-399

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Fusion rings and geometry

Gepner, Doron

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p. 381-411

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$(Z_N\times)^{n-1}$ generalization of the chiral Potts model

Bazhanov, V. V. ; Kashaev, R. M. ; Mangazeev, V. V. ; Stroganov, Yu. G.

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p. 393-408

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Proof of chiral symmetry breaking in strongly coupled lattice gauge theory

Salmhofer, Manfred ; Seiler, Erhard

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p. 395-432

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Unbounded elements affiliated with $C^*$-algebras and noncompact quantum groups

Woronowicz, S. L.

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p. 399-432

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Universal Teichmüller space and ${\rm Diff}\,S^1/S^1$

Hong, D. K. ; Rajeev, S. G.

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p. 401-411

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On the complete integrability of completely integrable systems

Beals, Richard ; Sattinger, D. H.

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p. 409-436

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Nonorientable strings

Vaysburd, I. ; Radul, A.

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p. 413-420

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$(T^*G)_t$: a toy model for conformal field theory

Alekseev, A. Yu. ; Faddeev, L. D.

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p. 413-422

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Hydrodynamic limit for attractive particle systems on ${\bf Z}^d$

Rezakhanlou, Fraydoun

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p. 417-448

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Perturbative expansion of Chern-Simons theory with noncompact gauge group

Bar-Natan, Dror ; Witten, Edward

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p. 423-440

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The asymptotics of the Arakelov-Green's function and Faltings' delta invariant

Wentworth, R.

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p. 427-459

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On the algebraic structure of $N=2$ string theory

Gepner, Doron

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p. 433-491

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Higher-order polarizations on the Virasoro group and anomalies

Aldaya, Víctor ; Navarro-Salas, José

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p. 433-440

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On the origin of integrability in matrix models

Martinec, Emil J.

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p. 437-449

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The bi-Hamiltonian structure of fully supersymmetric Korteweg-de Vries systems

Oevel, Walter ; Popowicz, Ziemowit

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p. 441-460

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Asymptotic properties of the solutions of linear and nonlinear spin field equations in Minkowski space

Shu, Wei-Tong

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p. 449-480

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Inverse backscattering in two dimensions

Eskin, G. ; Ralston, J.

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p. 451-486

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Characterization of states of infinite boson systems. II. On the existence of the conditional reduced density matrix

Freudenberg, Wolfgang

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p. 461-472

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Periodic and partially periodic representations of ${\rm SU}(N)_q$

Arnaudon, D. ; Chakrabarti, A.

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p. 461-478

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Duality and modular invariance in rational conformal field theories

Li, Miao

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p. 473-517

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Long range scattering for nonlinear Schrödinger equations in one space dimension

Ozawa, Tohru

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p. 479-493

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Hochschild and cyclic homology of quantum groups

Feng, Ping ; Tsygan, Boris

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p. 481-521

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Low temperature properties of the hierarchical classical vector model

Schor, Ricardo ; O'Carroll, Michael

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p. 487-505

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Morita equivalence of Poisson manifolds

Xu, Ping

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p. 493-509

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Calculation of BRS cohomology with spectral sequences

Dixon, J. A.

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p. 495-526

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Particle scattering in Euclidean lattice field theories

Barata, J. C. A. ; Fredenhagen, K.

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p. 507-519

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Fock space representations of affine Lie algebras and integral representations in the Wess-Zumino-Witten models

Kuroki, Gen

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p. 511-542

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An example of a generalized Brownian motion

Bożejko, Marek ; Speicher, Roland

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p. 519-531

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Markov partition in nonhyperbolic interval dynamics

Vargas, Edson

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p. 521-535

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On the reconstruction of a unitary matrix from its moduli

Auberson, G. ; Martin, A. ; Mennessier, G.

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p. 523-542

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Krichever-Novikov global operator formalism: NSR superstring in curved background

Maharana, Jnanadeva ; Paul, Samir K. ; Sengupta, Gautam

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p. 527-549

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The geometry of the super KP flows

Rabin, Jeffrey M.

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p. 533-552

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On the renormalization group transformation for scalar hierarchical models

Koch, Hans ; Wittwer, Peter

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p. 537-568

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Classical $W$-algebras

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

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p. 543-567

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Positive Lyapunov exponents for Schrödinger operators with quasi-periodic potentials

Sorets, Eugene ; Spencer, Thomas

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p. 543-566

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On the essential spectrum of the transfer operator for expanding Markov maps

Collet, Pierre ; Isola, Stefano

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p. 551-557

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Absence of bound states in extremely asymmetric positive diatomic molecules

Ruskai, Mary Beth

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p. 553-566

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Universality in orbit spaces of compact linear groups

Sartori, G. ; Talamini, V.

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p. 559-588

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The spectrum of the algebra of skew differential operators and the irreducible representations of the quantum Heisenberg algebra

Rosenberg, Alexander L.

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p. 567-588

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Conformal embeddings, rank-level duality and exceptional modular invariants

Verstegen, D.

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p. 567-586

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Local conformal field algebras

Juriev, Denis

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p. 569-581

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Geometry of Virasoro constraints in nonperturbative $2$-d quantum gravity

La, HoSeong

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p. 569-588

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Topological representations of the quantum group $U_q({\rm sl}_2)$

Felder, G. ; Wieczerkowski, C.

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p. 583-605

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The existence of Chern-Simons vortices

Wang, Ronggang

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p. 587-597

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Quantum $q$-white noise and a $q$-central limit theorem

Schürmann, Michael

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p. 589-615

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Multi-parameter quantum groups related to link-diagrams

Cotta-Ramusino, Paolo ; Rinaldi, Maurizio

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p. 589-604

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$1$D-quasiperiodic operators. Latent symmetries

Mandel'shtam, V. A. ; Zhitomirskaya, S. Ya.

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p. 589-604

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Ornstein-Zernike decay in the ground state of the quantum Ising model in a strong transverse field

Kennedy, Tom

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p. 599-615

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Flat periodic representations of ${\scr U}_q({\germ g})$

Arnaudon, D. ; Chakrabarti, A.

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p. 605-617

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Bicovariant differential calculus on quantum groups ${\rm SU}_q(N)$ and ${\rm SO}_q(N)$

Carow-Watamura, Ursula ; Schlieker, Michael ; Watamura, Satoshi ; Weich, Wolfgang

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p. 605-641

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Author index to volumes 131--140 (1990--1991)

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p. 617-627

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Semi-infinite Weil complex and the Virasoro algebra

Feigin, Boris ; Frenkel, Edward

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p. 617-639

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Universal exchange algebra for Bloch waves and Liouville theory

Babelon, O.

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p. 619-643

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