XIVth International Congress on Mathematical Physics: Lisbon 28 July - 2 August 2003

by Zambrini, Jean-Claude

• ISBN13: 9789812562012
• ISBN10: 981256201X
• Format: Hardcover
• Copyright: 2006-04-30
• Publisher: World Scientific Pub Co Inc

Summary

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. ICMP 2003 also included invited talks by: H Eliasson, W Schlag, M Shub, P Dorey, J M Maillet, K McLaughlin, A Nakayashiki, A Okounkov, G M Graf, R Seiringer, S Teufel, J Imbrie, D Ioffe, H Knoerrer, D Bernard, J Dimock, C J Fewster, T Thiemann, F Benatti, D Evans, Y Kawahigashi, C King, B Julia, N Nekrasov, P Townsend, D Bambusi, M Hairer, V Kaloshin, G Schneider, A Shirikyan, P Bizon, H Bray, H Ringstrom, L Barreira, L Rey-Bellet, C Forster, P Gaspard, F Golse, T Chen, P Exner, T Ichinose, V Kostrykin, E Skibsted, G Stolz, D Yafaev, V A Zagrebnov, R Leandre, T Levy, S Mazzuchi, H Owhadi, M Roeckner and A Sengupta. Key Features Provides a list of the most recent progress in all fields of Mathematical Physics; Written by the best international experts in these fields; Indicates the "hot" directions of research in Mathematical Physics for years to come; Readership: Mathematical physicists, mathematicians and theoretical physicists.

Table of Contents

Preface	v
Acknowledgements	xi
Opening remarks	xiii
The Henri Poincare Prize sponsored by the Daniel Iagolnitzer Foundation	xvii
Plenary talks	1	(662)
On the relation between the Master equation and the Boltzmann Equation in Kinetic Theory	3	(1)
Eric Carlen
Symmetries and ``simple'' solutions of the classical n-body problem	4	(17)
Alain Chenciner
Dirac-Fock models for atoms and molecules and related topics	21	(8)
Maria J. Esteban
Eric Sere
Locally covariant quantum field theory	29	(9)
Klaus Fredenhagen
Simple models of turbulent transport	38	(12)
Krzysztof Gawedzki
Algebraic versus Liouville integrability of the soliton systems	50	(18)
Igor Krichever
Mathematical quasicrystals: a tale of two topologies	68	(10)
Robert V. Moody
Strings through the microscope	78	(21)
Volker Schomerus
Critical percolation and conformal invariance	99	(14)
Stanislav Smirnov
The energy of charged matter	113	(17)
Jan Philip Solovej
Entropy production and convergence to equilibrium for the Boltzmann equation	130	(15)
Cedric Villani
Aspects of free probability	145	(14)
Dan Voiculescu
Invited session talks	159	(2)
Condensed matter physics	161	(2)
Adiabatic transport, Kubo formula and Anderson localization in some lattice and continuum models	163	(8)
A Elgart
Transport in adiabatic quantum pumps	171	(8)
G. M. Graf
A. Elgart
L. Sadun
K. Schnee
One-dimensional behavior of dilute Bose gases in traps	179	(7)
Robert Seiringer
Elliott H. Lieb
Jakob Yngvason
Semiclassical dynamics of an electron moving in a slowly perturbed periodic potential	186	(7)
Stefan Teufel
Gianluca Panati
Dynamical systems	193	(2)
Linear quasi-periodic systems --- reducibility and almost reducibility	195	(11)
L. H. Eliasson
On discrete Schrodinger operators with stochastic potentials	206	(10)
W. Schlag
Non-zero random Lyapunov exponents versus mean deterministic exponents for a twist like family of diffeomorphisms of the two sphere	216	(9)
Michael Shub
Equilibrium statistical mechanics	225	(2)
Dimensional reduction for isotropic and directed branched polymers	227	(10)
John Z. Imbrie
Random path representation and Ornstein-Zernike theory of fluctuations	237	(8)
Dmitry Ioffe
Construction of a 2-d Fermi Liquid	245	(16)
Horst Knorrer
Joel Feldman
Eugene Trubowitz
The restriction property for conformally covariant measures	261	(10)
Gregory F. Lawler
Fluid dynamics and nonlinear PDEs	271	(2)
Birkhoff normal form for some quasilinear Hamiltonian PDEs	273	(8)
Dario Bambusi
Coupling stochastic PDEs	281	(9)
Martin Hairer
Long time behaviour of periodic stochastic flows	290	(6)
V. Kaloshin
D. Dolgopyat
L. Koralov
Local in time and space nonlinear stability of pulses in an unstable medium	296	(8)
Guido Schneider
Robert L. Pego
Hannes Uecker
Some mathematical problems of statistical hydrodynamics	304	(9)
Armen Shirikyan
General relativity	313	(2)
Formation of singularities in Yang-Mills equations	315	(8)
Piotr Bizon
A family of quasi-local mass functionals with monotone flows	323	(7)
Hubert L. Bray
On a wave map equation arising in general relativity	330	(7)
Hans Ringstrom
Integrable systems and random matrix theory	337	(2)
Limiting distribution of last passage percolation models	339	(8)
Jinho Baik
Differential equations and the Bethe ansatz	347	(9)
Patrick Dorey
Clare Dunning
Adam Millican-Slater
Roberto Tateo
Correlation functions of the XXZ spin-1/2 chain: recent progress	356	(8)
Jean-Michel Maillet
Applications of a complete expansion for the partition function of random matrix theory	364	(8)
Kenneth D. T.-R. McLaughlin
Complete solutions to form factor equations of SU(2) invariant Thirring model	372	(7)
Atsushi Nakayashiki
The uses of random partitions	379	(25)
Andrei Okounkov
Stochastic growth in one dimension and Gaussian multi-matrix models	404	(9)
Herbert Spohn
Patrik L. Ferrari
Michael Prahofer
Nonequilibrium statistical mechanics	413	(2)
Poincare recurrence: old and new	415	(8)
Luis Barreira
Analysis of Lyapunov modes for hard-disk fluids	423	(9)
Christina Forster
Robin Hirschl
Harald A. Posch
The fractality of the hydrodynamic modes of diffusion	432	(7)
Pierre Gaspard
On the statistics of free-path lengths for the periodic Lorentz gas	439	(8)
Francois Golse
Nonequilibrium statistical mechanics of open classical systems	447	(8)
Luc Rey-Bellet
Operator algebras and quantum information	455	(2)
Quantum dynamical entropies and quantum algorithmic complexities	457	(7)
Fabio Benatti
Modular invariant partition functions in statistical mechanics, conformal field theory and their realisation by subfactors	464	(12)
David E. Evans
Classification of operator algebraic conformal field theories in dimensions one and two	476	(10)
Yasuyuki Kawahigashi
An application of the Lieb-Thirring inequality in quantum information theory	486	(5)
Christopher King
Path integrals and stochastic analysis	491	(2)
Connes-Hida Calculus in index theory	493	(5)
Remi Leandre
Wilson loops and spin networks	498	(7)
Thierry Levy
Some new developments in Feynman path integrals and applications	505	(7)
S. Mazzucchi
Super-diffusion and its collapse in a quenched multi scale passive transport model	512	(8)
Houman Owhadi
An analytic approach to Kolmogorov's equations in infinite dimensions and probabilistic consequences	520	(7)
Michael Rockner
A functional integral applied to topology and algebra	527	(6)
Ambar N. Sengupta
Quantum field theory	533	(2)
Conformal field theories in random domains and Stochastic Loewner evolutions	535	(15)
Denis Bernard
Local string field theory	550	(9)
J. Dimock
Energy inequalities in quantum field theory	559	(10)
Christopher J. Fewster
Loop quantum gravity	569	(16)
Thomas Thiemann
Quantum mechanics and spectral theory	585	(2)
Long-time dynamics and localization lengths for the 3-d Anderson model at weak disorders	587	(6)
Thomas Chen
Leaky quantum wire and dots: a resonance model	593	(8)
Pavel Exner
Sylwia Kondej
Product formula for quantum Zeno dynamics	601	(4)
Takashi Ichinose
Pavel Exner
The adiabatic theorem of quantum mechanics and the Riccati equation	605	(6)
Vadim Kostrykin
Konstantin A. Makarov
Zero energy asymptotics of the resolvent in the long range case	611	(8)
E. Skibsted
S. Fournais
Fractional moment methods for Anderson localization in the continuum	619	(7)
Gunter Stolz
Michael Aizenman
Alexander Elgart
Sergey Naboko
Jeffrey H. Schenker
A particle in the Bio-Savart-Laplace magnetic field: explicit solutions	626	(8)
D. R. Yafaev
Trotter-Kato product formula: some recent results	634	(9)
V. A. Zagrebnov
String and M theory	643	(2)
Localizing gauge theories	645	(10)
Nikita A. Nekrasov
Cosmic acceleration and M-theory	655	(8)
Paul K. Townsend
Contributed talks	663	(2)
Poster sessions	665	(10)
Satellite meetings	675	(2)
List of participants	677