XIVth International Congress on Mathematical Physics : Lisbon, 28 July - 2 August 2003 / edited by Jean-Claude Zambrini.Material type: TextPublication details: Hackensack, NJ : World Scientific, ©2005. Description: 1 online resource (xxiv, 692 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9789812704016; 9812704019Other title: 14th International Congress on Mathematical Physics | Fourteenth International Congress on Mathematical PhysicsSubject(s): Mathematical physics -- Congresses | Physics -- Congresses | SCIENCE -- Physics -- Mathematical & Computational | Mathematical physics | Physics | PhysicsGenre/Form: Electronic books. | Conference papers and proceedings. | Electronic books. Additional physical formats: Print version:: XIVth International Congress on Mathematical Physics.DDC classification: 530.15 LOC classification: QC19.2 | .I538 2003ebOnline resources: Click here to access online
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Includes bibliographical references.
Print version record.
Plenary talks. On the relation between the Master equation and the Boltzmann Equation in kinetic theory / Eric Carlen (Georgia Tech). Symmetries and "simple" solutions of the classical n-body problem / Alain Chenciner (U. Paris 7). Dirac-Fock models for atoms and molecules and related topics / Maria J. Esteban, Eric Sere (U. Paris IX-Dauphine). Locally covariant quantum field theory / Klaus Fredenhagen (ITP, Hamburg). Simple models of turbulent transport / Krzysztof Gawedzki (ENS Lyon). Algebraic versus Liouville integrability of the soliton systems / Igor Krichever (Columbia U.). Mathematical quasicrystals : a tale of two topologies / Robert V. Moody (U. Alberta). Strings through the microscope / Volker Schomerus (SPhT Saclay). Critical percolation and conformal invariance / Stanislav Smirnov (Royal Inst, of Technology, Stockholm). The energy of charged matter / Jan Philip Solovej (Princeton). Entropy production and convergence to equilibrium for the Boltzmann equation / Cedric Villani (ENS Lyon). Aspects of free probability / Dan Voiculescu (U. California at Berkeley) -- Condensed matter physics. Adiabatic transport, Kubo formula and Anderson localization in some lattice and continuum models / A. Elgart (Courant Institute). Transport in adiabatic quantum pumps / G.M. Graf (ETH Zurich) [and others]. One-dimensional behavior of dilute Bose gases in traps / Robert Seiringer, Elliott H. Lieb (Princeton), Jakob Yngvason (U. Wien). Semiclassical dynamics of an electron moving in a slowly perturbed periodic potential / Stefan Teufel, Gianluca Panati (Tech. U. Munchen) -- Dynamical systems. Linear quasi-periodic systems -- reducibility and almost reducibility / L.H. Eliasson (U. Paris 7). On discrete Schrodinger operators with stochastic potentials / W. Schlag (Caltech). Non-zero random Lyapunov exponents versus mean deterministic exponents for a twist like family of diffeomorphisms of the two sphere / Michael Shub (U. Toronto) -- Equilibrium statistical mechanics. Dimensional reduction for isotropic and directed branched polymers / John Z. Imbrie (U. Virginia). Random path representation and Ornstein-Zernike theory of fluctuations / Dmitry Ioffe (Technion, Haifa). Construction of a 2-d Fermi Liquid / Horst Knorrer (ETH-Zentrum, Zurich), Joel Feldman (U. of British Columbia), Eugene Trubowitz (ETH-Zentrum, Zurich). The restriction property for conformally covariant measures / Gregory F. Lawler (Cornell) -- Fluid dynamics and nonlinear PDEs. Birkhoff normal form for some quasilinear Hamiltonian PDEs / Dario Bambusi (U. Milano). Coupling stochastic PDEs / Martin Hairer (U. Warwick). Long time behaviour of periodic stochastic flows / V. Kaloshin (Caltech), D. Dolgopyat (Maryland), L. Koralov (Princeton). Local in time and space nonlinear stability of pulses in an unstable medium / Guido Schneider (U. Karlsruhe), Robert L. Pego (Maryland), Hannes Uecker (U. Karlsruhe). Some mathematical problems of statistical hydrodynamics / Armen Shirikyan (U. Paris-Sud XI).
General relativity. Formation of singularities in Yang-Mills equations / Piotr Bizon (Jagellonian U., Krakow). A family of quasi-local mass functionals with monotone flows / Hubert L. Bray (Columbia U.). On a wave map equation arising in general relativity / Hans Ringstrom (MPI, Golm) -- Integrable systems and random matrix theory. Limiting distribution of last passage percolation models / Jinho Baik (U. Michigan). Differential equations and the Bethe ansatz / Patrick Dorey (U. Durham). Correlation functions of the XXZ spin-1/2 chain : recent progress / Jean-Michel Maillet (ENS Lyon). Applications of a complete expansion for the partition function of random matrix theory / Kenneth D.T.-R. Mclaughin (U. of North Carolina at Chapel Hill). Complete solutions to form factor equations of SU(2) invariant Thirring model / Atsushi Nakayashiki (Kyushu U.). The uses of random partitions / Andrei Okounkov (Princeton). Stochastic growth in one dimension and Gaussian multi-matrix models / Herbert Spohn, Patrik L. Ferrari, Michael Prahofer (Tech. U., Munchen) -- Nonequilibrium statistical mechanics. Poincare recurrence : old and new / Luis Barreira (IST, Lisbon). Analysis of Lyapunov modes for hard-disk fluids / Christina Forster, Robin Hirschl, Harald A. Posch (U. Vienna). The fractality of the hydrodynamic modes of diffusion / Pierre Gaspard (U. Libre de Bruxelles). On the statistics of free-path lengths for the periodic Lorentz gas / Francois Golse (U. Paris 7). Nonequilibrium statistical mechanics of open classical systems / Luc Rey-Bellet (U. Massachusetts) -- Operator algebras and quantum information. Quantum dynamical entropies and quantum algorithmic complexities / Fabio Benatti (U. Trieste). Modular invariant partition functions in statistical mechanics, conformal field theory and their realisation by subfactors / David E. Evans (U. Wales). Classification of operator algebraic conformal field theories in dimensions one and two / Yasuyuki Kawahigashi (U, Tokyo). An application of the Lieb-Thirring inequality in quantum information theory / Christopher King (Northeastern U., Boston) -- Path integrals and stochastic analysis. Connes-Hida calculus in index theory / Remi Leandre (U. Nancy I). Wilson loops and spin networks / Thierry Levy (ENS Paris). Some new developments in Feynman path integrals and applications / S. Mazzucchi (U. Trento). Super-diffusion and its collapse in a quenched multi scale passive transport model / Houman Owhadi (Caltech). An analytic approach to Kolmogorov's equations in infinite dimensions and probabilistic consequences / Michael Rockner (U. Bielefeld). A functional integral applied to topology and algebra / Ambar N. Sengupta (Louisiana State U.) -- Quantum field theory. Conformal field theories in random domains and Stochastic Loewner evolutions / Denis Bernard (SPhT Saclay). Local string field theory / J. Dimock (SUNY at Buffalo). Energy inequalities in quantum field theory / Christopher J. Fewster (U. York). Loop quantum gravity / Thomas Thiemann (Perimeter Inst. Theor. Phys. and U. Waterloo) -- Quantum mechanics and spectral theory. Long-time dynamics and localization lengths for the 3-d Anderson model at weak disorders / Thomas Chen (Courant Institute). Leaky quantum wire and dots : a resonance model / Pavel Exner (Academy of Sciences, Prague), Sylwia Kondej (U. Zielona Gora). Product formula for quantum Zeno dynamics / Takashi Ichinose (Kanazawa U.), Pavel Exner (Academy of Sciences, Prague). The adiabatic theorem of quantum mechanics and the Riccati equation / Vadim Kostrykin (Praunhofer Inst, fur Lasertechnik), Konstantin A. Makarov (U. Missouri). Zero energy asymptotics of the resolvent in the long range case / E. Skibsted (U. Aarhus), S. Founais (U. Paris-Sud). Fractional moment methods for Anderson localization in the continuum / Gunter Stolz (U. Alabama at Birmingham) [and others]. A particle in the Bio-Savart-Laplace magnetic field : explicit solutions / D.R. Yafaev (U. Rennes-1). Trotter-Kato product formula : some recent results / V.A. Zagrebnov (U. de la Mediterranee (Aix-Marseille II) and CNRS, Luminy) -- String and M theory. Localizing gauge theories / Nikita A. Nekrasov (Inst, des Hautes Etudes Scientifiques, Bures-sur-Yvette). Cosmic acceleration and M-theory / Paul K. Townsend (Cambridge).
In 2003 the XIV International Congress on Mathematical Physics (ICMP) was held in Lisbon with more than 500 participants. Twelve plenary talks were given in various fields of Mathematical Physics : E Carlen <<On the relation between the Master equation and the Boltzmann Equation in Kinetic Theory>>; A Chenciner <<Symmetries and "simple" solutions of the classical n-body problem>>; M J Esteban <<Relativistic models in atomic and molecular physics>>; K Fredenhagen <<Locally covariant quantum field theory>> K Gawedzki <<Simple models of turbulent transport>>; I Krichever <<Algebraic versus Liouville integrability of the soliton systems>>; R V Moody <<Long-range order and diffraction in mathematical quasicrystals>>; S Smirnov <<Critical percolation and conformal invariance>>; J P Solovej <<The energy of charged matter>>; V Schomerus <<Strings through the microscope>>; C Villani <<Entropy production and convergence to equilibrium for the Boltzmann equation>>; D Voiculescu <<Aspects of free probability>>. The book collects as well carefully selected invited Session Talks in : Dynamical Systems, Integrable Systems and Random Matrix Theory, Condensed Matter Physics, Equilibrium Statistical Mechanics, Quantum Field Theory, Operator Algebras and Quantum Information, String and M Theory, Fluid Dynamics and Nonlinear PDE, General Relativity, Nonequilibrium Statistical Mechanics, Quantum Mechanics and Spectral Theory, Path Integrals and Stochastic Analysis.