Sommaire du Fascicule no. 1

String theory and loop space index theorems

Alvarez, Orlando ; Killingback, T. P. ; Mangano, Michelangelo ; Windey, Paul

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p. 1-10

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On the relation between classical and quantum statistical mechanics

Wreszinski, W. ; Scharf, G.

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p. 1-31

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Geometric expansion of the boundary free energy of a dilute gas

Collet, Pierre ; Dunlop, François

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p. 1-12

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The essentially commutative dilations of dynamical semigroups on $M_n$

Kümmerer, Burkhard ; Maassen, Hans

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p. 1-22

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The ${\rm A}$-${\rm D}$-${\rm E}$ classification of minimal and $A^{(1)}_1$ conformal invariant theories

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

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p. 1-26

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Parallel transport in the determinant line bundle: the nonzero index case

Della Pietra, S. ; Della Pietra, V.

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p. 11-31

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Yang-Lee zeros of a planar Ising model with a boundary magnetic field

Abraham, D. B. ; De Coninck, J.

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p. 13-23

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Quantum Toda systems and Lax pairs

Ganoulis, N.

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p. 23-32

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The Schrödinger equation and canonical perturbation theory

Graffi, Sandro ; Paul, Thierry

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p. 25-40

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On the upper critical dimension of Bernoulli percolation

Chayes, J. T. ; Chayes, L.

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p. 27-48

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Adiabatic theorems and applications to the quantum Hall effect

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

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p. 33-49

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Solutions of Hartree-Fock equations for Coulomb systems

Lions, P.-L.

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p. 33-97

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Some inequalities for norm ideals

Bhatia, Rajendra

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p. 33-39

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Anderson localization for Bernoulli and other singular potentials

Carmona, René ; Klein, Abel ; Martinelli, Fabio

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p. 41-66

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Towards a unified dynamical theory of the Brownian particle in an ideal gas

Szåsz, Domokos ; Tóth, Bålint

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p. 41-62

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Hyperscaling inequalities for percolation

Tasaki, Hal

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p. 49-65

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Asymptotic completeness and multiparticle structure in field theories

Iagolnitzer, D. ; Magnen, J.

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p. 51-74

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An explicit construction of a class of suspensions and autonomous differential equations for diffeomorphisms in the plane

Mayer-Kress, Gottfried ; Haken, Hermann

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p. 63-74

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Inverse scattering for the heat operator and evolutions in $2+1$ variables

Wickerhauser, Mladen Victor

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p. 67-89

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Invariant circles and rotation bands in monotone twist maps

Boyland, Philip L.

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p. 67-77

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On the relevance of some constructions of highest weight modules over (super-) Kac-Moody algebras (in connection with: ``Fock representations of the affine Lie algebra $A{}^{(1)}_1$'' by M. Wakimoto)

Dobrev, V. K.

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p. 75-80

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Partial regularity of a generalized solution to the Navier-Stokes equations in exterior domain

Maremonti, Paolo

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p. 75-87

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Global validity of the Boltzmann equation for a three-dimensional rare gas in vacuum

Pulvirenti, M.

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p. 79-85

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Asymptotic completeness and multiparticle structure in field theories. II. Theories with renormalization: the Gross-Neveu model

Iagolnitzer, Daniel ; Magnen, Jacques

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p. 81-100

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Realization of holonomic constraints and freezing of high frequency degrees of freedom in the light of classical perturbation theory. I

Benettin, Giancarlo ; Galgani, Luigi ; Giorgilli, Antonio

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p. 87-103

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Ergodic and topological properties of Coulombic periodic potentials

Knauf, Andreas

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p. 89-112

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Generally covariant quantum field theory and scaling limits

Fredenhagen, Klaus ; Haag, Rudolf

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p. 91-115

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Calabi-Yau manifolds as complete intersections in products of complex projective spaces

Green, Paul ; Hübsch, Tristan

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p. 99-108

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Renormalization group in the local potential approximation

Felder, Giovanni

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p. 101-121

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On the equivalence of the two most favoured Calabi-Yau compactifications

Greene, Brian R. ; Kirklin, Kelley H.

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p. 105-114

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Scaling relations for $2$D-percolation

Kesten, Harry

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p. 109-156

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Determinants of Laplacians

Sarnak, Peter

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p. 113-120

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A conformally invariant limit of the critical lattice Ising model

Bashilov, Yu. A. ; Pokrovsky, S. V.

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p. 115-136

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A generalization of the momentum mapping construction for quaternionic Kåhler manifolds

Galicki, K.

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p. 117-138

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The high-temperature phase of long-range spin glasses

Fröhlich, J. ; Zegarliński, B.

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p. 121-155

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The universal structure of local algebras

Buchholz, D. ; D'Antoni, C. ; Fredenhagen, K.

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p. 123-135

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Margulis distributions for Anosov flows

Pollicott, Mark

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p. 137-154

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Analytics of period doubling

Phillipson, Paul E.

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p. 137-149

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Topological anomalies: explicit examples

Chang, Lay-Nam ; Liang, Yi-Gao

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p. 139-152

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The growth rate for the number of singular and periodic orbits for a polygonal billiard

Katok, A.

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p. 151-160

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Hyperbolic conservation laws with relaxation

Liu, Tai-Ping

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p. 153-175

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Witten's gauge field equations and an infinite-dimensional Grassmann manifold

Suzuki, Norio

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p. 155-172

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Completely integrable models in quasicrystals

Korepin, V. E.

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p. 157-171

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Localization for off-diagonal disorder and for continuous Schrödinger operators

Delyon, François ; Simon, Barry ; Souillard, Bernard

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p. 157-165

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On the second eigenfunctions of the Laplacian in ${\bf R}^2$

Lin, Chang Shou

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p. 161-166

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Kac-Moody symmetry of generalized nonlinear Schrödinger equations

Crumey, A. D. W. B.

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p. 167-179

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The cohomological construction of Stora's solutions

Schücker, Thomas

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p. 167-175

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Erratum: ``The distributional Borel summability and the large coupling $\Phi^4$ lattice fields''

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

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p. 173-176

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Kac-Moody groups, topology of the Dirac determinant bundle, and fermionization

Mickelsson, Jouko

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p. 173-183

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Local behavior of solutions of some elliptic equations

Aviles, Patricio

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p. 177-192

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Dual field formulation of quantum integrable models

Korepin, V. E.

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p. 177-190

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A triangulation of moduli space from light-cone string theory

Giddings, Steven B. ; Wolpert, Scott A.

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p. 177-190

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Level one representations of the simple affine Kac-Moody algebras in their homogeneous gradations

Bernard, Denis ; Thierry-Mieg, Jean

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p. 181-246

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Singular measures without restrictive intervals

Johnson, Stewart D.

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p. 185-190

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Absence of shocks in an initially dilute collisionless plasma

Glassey, Robert T. ; Strauss, Walter A.

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p. 191-208

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On limit theorems for the bivariate (magnetization, energy) variable at the critical point

De Coninck, Joël

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p. 191-205

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Complete integrability of relativistic Calogero-Moser systems and elliptic function identities

Ruijsenaars, S. N. M.

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p. 191-213

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The topology of asymptotically Euclidean static perfect fluid space-time

Masood-ul-Alam, A. K. M.

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p. 193-211

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Conformally invariant differential operators on Minkowski space and their curved analogues

Eastwood, Michael G. ; Rice, John W.

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p. 207-228

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Asymptotic motion of a classical particle in a random potential in two dimensions: Landau model

Dürr, Detlef ; Goldstein, Sheldon ; Lebowitz, Joel L.

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p. 209-230

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Conservation laws and integrability conditions for gravitational and Yang-Mills field equations

Dubois-Violette, Michel ; Madore, John

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p. 213-223

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The shape resonance

Combes, J.-M. ; Duclos, P. ; Klein, M. ; Seiler, R.

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p. 215-236

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Correlations of peaks of Gaussian random fields

Cline, James M. ; Politzer, H. David ; Rey, Soo-Jong ; Wise, Mark B.

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p. 217-235

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A mathematical reformulation of Derrida's REM and GREM

Ruelle, David

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p. 225-239

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An $L^p$-theory for the $n$-dimensional, stationary, compressible Navier-Stokes equations, and the incompressible limit for compressible fluids. The equilibrium solutions

Beiråo da Veiga, H.

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p. 229-248

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The internal symmetry group of a connection on a principal fiber bundle with applications to gauge field theories

Fischer, Arthur E.

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p. 231-262

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Mass generations in two-dimensional hierarchical Heisenberg model of Migdal-Kadanoff type

Ito, Keiichi R.

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p. 237-246

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The evaluation map in field theory, sigma-models and strings. I

Bonora, L. ; Cotta-Ramusino, P. ; Rinaldi, M. ; Stasheff, J.

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p. 237-282

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One-dimensional spin glasses with potential decay $1/r^{1+\epsilon}$. Absence of phase transitions and cluster properties

Campanino, M. ; Olivieri, E. ; van Enter, A. C. D.

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p. 241-255

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Description of a class of superstring compactifications related to semisimple Lie algebras

Markushevich, D. G. ; Olshanetsky, M. A. ; Perelomov, A. M.

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p. 247-274

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Maximal violation of Bell's inequalities is generic in quantum field theory

Summers, Stephen J. ; Werner, Reinhard

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p. 247-259

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Renormalization group approach to lattice gauge field theories. I. Generation of effective actions in a small field approximation and a coupling constant renormalization in four dimensions

Bałaban, Tadeusz

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p. 249-301

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A Lipatov bound for $\Phi^4_4$ Euclidean field theory

Magnen, J. ; Nicolò, F. ; Rivasseau, V. ; Sénéor, R.

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p. 257-289

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Continuum limit of a hierarchical ${\rm SU}(2)$ lattice gauge theory in $4$ dimensions

Müller, V. F. ; Schiemann, J.

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p. 261-286

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Étude spectrale d'une famille d'opérateurs non-symétriques intervenant dans la théorie des champs de reggeons

Intissar, Abdelkader

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p. 263-297

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Point singularities of coupled gauge fields with low energy

Otway, T. H. ; Sibner, L. M.

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p. 275-279

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Multicomponent composites, electrical networks and new types of continued fraction. I

Milton, G. W.

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p. 281-327

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Asymptotics of the spectrum and the Selberg zeta function on the space of Riemann surfaces

Wolpert, Scott A.

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p. 283-315

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The generalized plasma in one dimension: evaluation of a partition function

Bressoud, D. M. ; Goulden, I. P.

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p. 287-291

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Calabi-Yau manifolds---motivations and constructions

Hübsch, Tristan

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p. 291-318

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A phase cell approach to Yang-Mills theory. III. Local stability, modified renormalization group transformation

Federbush, Paul

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p. 293-309

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The decorated Teichmüller space of punctured surfaces

Penner, R. C.

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p. 299-339

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Existence of the spontaneous pair creation in the external field approximation of Q.E.D

Nenciu, G.

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p. 303-312

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Stability of classical solutions of two-dimensional Grassmannian models

Burstall, F. E. ; Rawnsley, J. H.

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p. 311-316

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Ergodicité et limite semi-classique

Helffer, B. ; Martinez, A. ; Robert, D.

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p. 313-326

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The Goryachev-Chaplygin top and the Toda lattice

Bechlivanidis, C. ; van Moerbeke, P.

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p. 317-324

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Invariants for smooth conjugacy of hyperbolic dynamical systems. III

Marco, José Manuel ; Moriyón, Roberto

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p. 317-333

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Nonlocal fields in the $Z(2)$ Higgs model: the global gauge symmetry breaking and the confinement problem

Szlachånyi, Kornél

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p. 319-352

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Convergence of local charges and continuity properties of $W^*$-inclusions

D'Antoni, C. ; Doplicher, S. ; Fredenhagen, K. ; Longo, R.

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p. 325-348

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Consequences of the complex character of the internal symmetry in supersymmetric theories

Gatto, R. ; Sartori, G.

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p. 327-352

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Multicomponent composites, electrical networks and new types of continued fraction. II

Milton, G. W.

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p. 329-372

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On the geometry of Dirac determinant bundles in two dimensions

Mickelsson, Jouko

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p. 335-341

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Connections on discrete fibre bundles

Manton, N. S.

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p. 341-351

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Soliton quantization in lattice field theories

Fröhlich, J. ; Marchetti, P. A.

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p. 343-383

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Global anomalies on orbifolds

Freed, Daniel S. ; Vafa, Cumrun

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p. 349-389

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Dilations of quantum dynamical semigroups with classical Brownian motion

Alicki, R. ; Fannes, M.

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p. 353-361

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Fermionic path integration and Grassmann Brownian motion

Rogers, Alice

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p. 353-368

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The ground state energy of a Bose gas with Coulomb interaction. II

Conlon, Joseph G.

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p. 363-374

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General proof of Osterwalder-Schrader positivity for the Wilson action

Menotti, P. ; Pelissetto, A.

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p. 369-373

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A superanalog of the Selberg trace formula and multiloop contributions for fermionic strings

Baranov, A. M. ; Manin, Yu. I. ; Frolov, I. V. ; Schwarz, A. S.

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p. 373-392

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Supermanifold cohomology and the Wess-Zumino term of the covariant superstring action

Rabin, Jeffrey M.

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p. 375-389

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Formal group laws for affine Kac-Moody groups and group quantization

Aldaya, Víctor ; Navarro-Salas, José

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p. 375-387

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Fermions and octonions

Goddard, P. ; Nahm, W. ; Olive, D. I. ; Ruegg, H. ; Schwimmer, A.

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p. 385-408

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A construction of two-dimensional quantum chromodynamics

Klimek, Sławomir ; Kondracki, Witold

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p. 389-402

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Semiclassical resonances generated by a closed trajectory of hyperbolic type

Gérard, C. ; Sjöstrand, J.

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p. 391-421

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Action of the loop group on the self-dual Yang-Mills equation

Crane, Louis

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p. 391-414

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The Boltzmann equation for weakly inhomogeneous data

Arkeryd, L. ; Esposito, R. ; Pulvirenti, M.

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p. 393-407

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Charged particles in $Z_2$ gauge theories

Barata, Joåo C. A. ; Fredenhagen, Klaus

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p. 403-417

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Second order large deviation estimates for ferromagnetic systems in the phase coexistence region

Schonmann, Roberto H.

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p. 409-422

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The spectrum of a quasiperiodic Schrödinger operator

Sütő, Andrås

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p. 409-415

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Existence of solutions for Schrödinger evolution equations

Yajima, Kenji

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p. 415-426

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A topological investigation of the quantum adiabatic phase

Kiritsis, Elias

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p. 417-437

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Convex Hamiltonian energy surfaces and their periodic trajectories

Ekeland, I. ; Hofer, H.

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p. 419-469

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Multisoliton solutions in the scheme for unified description of integrable relativistic massive fields. Nondegenerate ${\rm sl}(2,{\bf C})$ case

Barashenkov, I. V. ; Getmanov, B. S.

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p. 423-446

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Global symmetry restoration in high temperature Higgs theories

King, Chris ; Yaffe, Laurence G.

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p. 423-436

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The spectrum of operators elliptic along the orbits of ${\bf R}^n$ actions

Kaminker, Jerome ; Xia, Jingbo

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p. 427-438

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Effective action for the Yukawa$_2$ quantum field theory

Lesniewski, A.

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p. 437-467

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Spectral functions, special functions and the Selberg zeta function

Voros, A.

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p. 439-465

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The integration of $G$-invariant functions and the geometry of the Faddeev-Popov procedure

Jaskólski, Z.

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p. 439-468

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Absence of divergences in type ${\rm II}$ and heterotic string multiloop amplitudes

Restuccia, A. ; Taylor, J. G.

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p. 447-470

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Time decay of solutions to the Cauchy problem for time-dependent Schrödinger-Hartree equations

Hayashi, Nakao ; Ozawa, Tohru

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p. 467-478

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The singleton dipole

Flato, M. ; Fronsdal, C.

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p. 469-482

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Geometry of skyrmions

Manton, N. S.

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p. 469-478

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On the leading energy correction for the statistical model of the atom: interacting case

Siedentop, Heinz ; Weikard, Rudi

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p. 471-490

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Integrable quantum systems and classical Lie algebras

Bazhanov, V. V.

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p. 471-503

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All NSR-models in terms of bosonic strings: an explicit derivation

Keller, Georg

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p. 479-500

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Convergence of the ${\rm U}(1)_4$ lattice gauge theory to its continuum limit

Driver, Bruce K.

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p. 479-501

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Instability of the boundary in the billiard ball problem

Hubacher, Andrea

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p. 483-488

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Sharpness of the phase transition in percolation models

Aizenman, Michael ; Barsky, David J.

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p. 489-526

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Asymptotic inverse spectral problem for anharmomic oscillators

Gurarie, David

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p. 491-502

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Variation of discrete spectra

Kato, Tosio

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p. 501-504

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Convergence to diffusion waves of solutions for viscous conservation laws

Chern, I-Liang ; Liu, Tai-Ping

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p. 503-517

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Bosonization on higher genus Riemann surfaces

Alvarez-Gaumé, Luis ; Bost, Jean-Beno\^{\i}t ; Moore, Gregory ; Nelson, Philip ; Vafa, Cumrun

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p. 503-552

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Polynomial deformations and cohomology of Calabi-Yau manifolds

Green, Paul ; Hübsch, Tristan

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p. 505-528

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Wave operators and the incompressible limit of the compressible Euler equation

Isozaki, Hiroshi

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p. 519-524

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Nearly one-dimensional singularities of solutions to the Navier-Stokes inequality

Scheffer, Vladimir

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p. 525-551

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Elliptic genera and quantum field theory

Witten, Edward

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p. 525-536

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Concerning the paper ``Horseshoes in perturbations of Hamiltonian systems with two degrees of freedom'' by P. J. Holmes and J. E. Marsden

Ziglin, S. L.

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p. 527-528

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Hyper-Kåhler manifolds and nonlinear supermultiplets

Karlhede, A. ; Lindström, U. ; Roček, M.

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p. 529-534

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Hyper-Kåhler metrics and supersymmetry

Hitchin, N. J. ; Karlhede, A. ; Lindström, U. ; Roček, M.

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p. 535-589

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Nonlinear parabolic stochastic differential equations with additive colored noise on ${\bf R}^d\times {\bf R}_+$: a regulated stochastic quantization

Doering, Charles R.

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p. 537-561

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The index of scattering operators of Dirac equations

Matsui, Taku

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Large-time behavior of solutions of the discrete Boltzmann equation

Kawashima, Shuichi

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p. 563-589

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Parallel transport in the determinant line bundle: the zero index case

Della Pietra, S. ; Della Pietra, V.

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p. 573-599

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Special energies and special frequencies

Endrullis, M. ; Englisch, H.

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The structure and uniqueness of generalized solutions of the spherically symmetric Einstein-scalar equations

Christodoulou, Demetrios

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A block spin construction of ondelettes. I. Lemarié functions

Battle, Guy

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p. 601-615

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Supersymmetric path integrals

Lott, John

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p. 605-629

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A mathematical theory of gravitational collapse

Christodoulou, Demetrios

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p. 613-647

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Long time behaviour of an infinite particle system

Li, Luen Chau

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p. 617-623

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Global stability of a class of discontinuous dual billiards

Vivaldi, Franco ; Shaidenko, Anna V.

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Local and nonlocal conserved quantities for generalized nonlinear Schrödinger equations

Crumey, A. D. W. B.

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On the quotient of the regularized determinant of two elliptic operators

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

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p. 641-654

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An example of absence of turbulence for any Reynolds number. II

Marchioro, C.

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p. 647-651

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On charge conjugation

Sternberg, Shlomo

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A strictly-positive mass theorem

Yip, P. F.

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Limit sets of $S$-unimodal maps with zero entropy

Guckenheimer, John

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p. 655-659

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The diffusion of self-avoiding random walk in high dimensions

Slade, Gordon

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Oscillations and concentrations in weak solutions of the incompressible fluid equations

DiPerna, Ronald J. ; Majda, Andrew J.

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Invariants for smooth conjugacy of hyperbolic dynamical systems. I

Marco, J. M. ; Moriyón, R.

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Author index to volumes 101-110 (1985-1987)

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Field theoretical construction of an infinite set of quantum commuting operators related with soliton equations

Sasaki, Ryu ; Yamanaka, Itaru

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The chiral determinant and the eta invariant

Della Pietra, S. ; Della Pietra, V. ; Alvarez-Gaumé, L.

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