------------------------------------------ XXXI SYMPOSIUM ON MATHEMATICAL PHYSICS May 18-21, 1999, Torun, Poland ------------------------------------------ LIST OF CONTRIBUTORS S.AKASHI (Niigata) Embedding of symbolic dynamics into H*-algebras V.BALADI (Geneve) Decay of Random Correlation Functions for iid Unimodals B.B.BARDIN (Moscow) Periodic solutions of a Lyapunov system in extremal resonance case L.BENAYOUN (Grenoble, Torun) Generation of equations of state by contact transformations in thermodynamics M.BLASZAK (Poznan) Bi-Hamiltonian chains on spectral curves K.BLYUSS (Dniepropetrovsk) Stochasticity of Nonlinear Waves and Solitons of Korteweg-de Vries Equation H.-H. BORZESZKOWSKI (Berlin) Mach's Principle and General Relativity: On Einstein- Mayer-type Tetrad Theories of Gravitation J.BURZLAFF (Dublin) Statics and Dynamics of Abrikosov Vortices and of Related Solitons R.M.CHERNIHA (Kyiv) A complete description of Lie symmetries of the nonlinear reaction-diffusion systems D.CHRUSCINSKI (Torun) SO(2) symmetry of the Maxwell p-form theory R.CONTE (Saclay) Analytic expression of hydrothermal waves J.CZYZ, A.WIECHETEK (Warszawa, Siedlce) Some Periodic, Smooth or Singular Wave Functions: Their Non-linear Differential Equations and Number Theory Implications M.DE-COCK, P.SPINCEMAILLE (Leuven) Statistics of Vectors Using Gram Matrices H.-D.DOEBNER (Clausthal-Zellerfeld) How physical systems hide their symmetry: The stationary KdV hierarchy and so(2,1) J.GARECKI (Szczecin) Remarks on the Bergmann-Thompson Expression on Angular Momentum in General Relativity R.GIELERAK (Zielona Gora) Unbouded Perturbations of the Free Bose Gas K.GOZDZIEWSKI, A.J.MACIEJEWSKI (Torun) Stability vs. Integrability - Application of the Kozlov Theorem for Searching Integrable Cases K.-E.HELLWIG (Berlin) Two Q-bits in a cavity XING-BIAO HU (Beijing) Some new results on the Blaszak-Marciniak 3-field and 4- field lattices G.HUNTER (Toronto) The photon: an electromagnetic soliton J.JURKOWSKI (Torun) The meaning of contact Hamiltonian I.KANATCHIKOV (Warszawa, Tallin) 1) On quantization of gravity from a pre-canonical point of view 2) Duffin-Kemmer Formulation of Covariant Hamiltonian Dynamics in Field Theory M.KNYAZEV (Minsk) Two-kink states for a system of two scalar fields M.KUNA (Gdansk) Nonlinear operator equations: Darboux invariance and spectra A.KUNDU (Calcutta) Algebraic Construction of Variable-Mass Sine-Gordon and other Integrable Inhomogeneous Models B.A.KUPERSHMIDT (Tullahoma) Quantum Hamilton-Jacobi Equation and Quantum Hamilton- Jacobi Theory V.LAHNO (Poltava) On Classification of Equations for Scalar Field Satisfying the Einstein and Galilei Relativity Principles M.LAKSHMANAN (Tiruchirapalli) Shape-Changing Collisions of Coupled Bright Solitons in Optical Fibers J.LAWRYNOWICZ (Lodz) An Introduction to Bitwistors R.LEANDRE (Nancy) A stochastic approach to some objects of conformal fields theory S.LEBLE (Gdansk) Division of differential operators, interwine relations and Darboux transformations M.LUZ-GANDARIAS (Puerto Real Cadiz) Symmetry analysis and solutions for a family of Cahn-Hilliard equations A.MAJEWSKI (Gdansk) On noncommutative Liouville space technique A.MAKARENKO (Kiev) New Nodel Differential Equations in Mathematical Physics for Hydrodynamics with Memory Effects O.MELSHEIMER (Marburg) A tentative framework for a theory of macroscopic systems inside QFT M.MICHALSKI (Torun) On statistical mechanics of superadditive lattice systems F.MUELLER-HOISSEN (Gottingen) A notion of complete integrability in noncommutative geometry K.NAKAMURA (Osaka) Asymptotic Expansions Beyond All Orders: Asymptotic Description of Chaotic Dynamics J.NAPORA (Katowice) On Moser type reduction of Riccati-Abel integrable equations A.PARKER (Newcastle) On `Regular' and `Anomalous' Solitons of Fifth-Order Equations and an Iteration Method M.PIETRZYK (Warszawa) Are there soliton-like solutions of coupled (1+1)- and (2+1)-dim NSE? Z.POPOWICZ (Wroclaw) Supercomplexifications and Odd Bihamiltonian Structures for Nes SUSY N=2,4 (Modified) Korteweg-de Vries Equations A.PRYKARPATSKY (Lviv) The Liouville-Arnold Integrability by Quadratures Problem: a Symplectic Theory Solution S.RAUCH-WOJCIECHOWSKI (Linkoping) Quasi-potential systems: a new theory encompassing the classical separability theory for the Hamilton-Jacobi equation A.M.SCARFONE (Torino) Nonlinear Gauge Transformations for a Class of Schroedinger Equations Containing Complex Nonlinearities A.SERGYEYEV (Kyiv) On time-dependent symmetries and formal symmetries of evolution equations A.V.SHCHEPETILOV (Moscow) Invariant treatment of the two-body problem with central interaction on simply connected spaces of constant sectional curvature G.SHPENKOV (Minsk, Bydgoszcz), L.G.KREIDIK (Minsk) A wave field of probability and the structure of matter J.J.SLAWIANOWSKI (Warszawa, Berlin) Various aspects of the Born-Infeld nonlinearity W.SLOMCZYNSKI (Krakow) Entropy of Markov operators, fractals and the arrow of time K.STEFANSKI (Bydgoszcz) Various phenomena in chaotic and hyperchaotic maps O.STOYANOV (Sofia, New Brunswick) Coadjoint Poisson actions of Poisson-Lie groups R.STREATER (London) The quantum information manifold for relatively bounded forms A.SZUM (Poznan) 1) Hamiltonian dynamical systems in (1+1) and (2+1) dimensions 2) Bi-Hamiltonian formulation of lattice systems by Dirac reduction of Poisson pencil F.TAKENS (Groningen) Multifractal analysis for entropies H.TRUE (Lyngby) Bifurcations and Chaos in Railway Vehicle Dynamics T.TSUCHIDA (Tokyo) Integrable Discretization of the Coupled Nonlinear Schroedinger Equations N.V.USTINOV (Kaliningrad) Darboux Transformation for Non-local Two-Dimensional Toda Lattices S.I.VACARU (Chisinau) Generalized Finsler Theromodynamics and Locally Anisotropic Black Holes V.VLADIMIROV (Kiev) Soliton-like solutions and other wave patterns in the non-local model of structured media R.WOJNAR (Warszawa) Nonlinear heat equation and thermodiffusion A.YOSHIMOTO (Kusatu) Numerical study of barrier tunneling in a simple 2- dimensional autonomous systems A.V.YUROV (Kaliningrad) Closed Chains of the Darboux and Laplace Transformations For the Goursat Equation A.A.YUROVA, A.V.YUROV (Kaliningrad) On the Problem of Evolution of an Intrusive Density Lens and the Dynamics of Vortex Filament J.ZAGRODZINSKI (Warszawa) Soliton and Periodic Processes as Solutions of Functional Equations A.A.ZAITSEV (Kaliningrad) Theoretical analyses of stationary nonlinear waves on a fluid surface E.V.ZEMLYANAYA (Dubna) Stable complexes of parametrically driven damped nonlinear Schroedinger solitons R.ZHDANOV (Kyiv) On Separable Schrodinger Equations