Xivth International Congress On Mathematical PhysicsJean-claude Zambrini 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. |
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algebra asymptotic bound boundary conditions branes Brownian Comm computation conformal field theory conformally invariant consider constant construction convergence corresponding covariant curves defined denote density diffeomorphism differential dimension dimensional dynamics eigenvalues energy entropy equation ergodic exists exponential finite flow formula function gauge gauge theory Hamiltonian Hilbert space inequality Instituto Superior Técnico integral interaction lattice Lemma Lett limit linear Lisbon localization loop Lyapunov exponents Math Mathematics matrix measure modes modular invariants obtained operator parameter particle partition percolation perturbation Phys Physics polynomials positive potential problem proof properties quantization quantum field theory random matrices relation representation result satisfy scalar scaling Schrödinger Schrödinger equation solution spacetime spatial spectral spectrum stationary stochastic string theory subfactor subspace symmetry Theorem 2.1 topology transform University variables vector velocity von Neumann algebras zero