eBook

Entropy and the quantum II : Arizona School of Analysis with Applications, March 15-19, 2010, University of Arizona

Ueltschi, Daniel, Sims, Robert, Arizona School of Analysis with Applications

2011

Overview

The goal of the Entropy and the Quantum schools has been to introduce young researchers to some of the exciting current topics in mathematical physics. These topics often involve analytic techniques that can easily be understood with a dose of physical intuition. In March of 2010, four beautiful lectures were delivered on the campus of the University of Arizona. They included Isoperimetric Inequalities for Eigenvalues of the Laplacian by Rafael Benguria, Universality of Wigner Random Matrices by Laszlo Erdos, Kinetic Theory and the Kac Master Equation by Michael Loss, and Localization in Disordered Media by Gunter Stolz. Additionally, there were talks by other senior scientists and a number of interesting presentations by junior participants. The range of the subjects and the enthusiasm of the young speakers are testimony to the great vitality of this field, and the lecture notes in this volume reflect well the diversity of this school.

• Publisher: American Mathematical Society
• Subject: Linear and multilinear algebra; matrix theory -- Special matrices -- Random matrices. msc / Partial differential equations -- Equations of mathematical physics and other areas of application -- Boltzmann equations. msc / Partial differential equations -- Spectral theory and eigenvalue problems -- Estimation of eigenvalues, upper and lower bounds. msc / Probability theory and stochastic processes -- Probability theory on algebraic and topological structures -- Limit theorems for vector-valued random variables (infinite-dimensional case). msc / Probability theory and stochastic processes -- Special processes -- Interacting random processes; statistical mechanics type models; percolation theory. msc / Quantum entropy / Quantum entropy -- Congresses / Quantum theory -- General mathematical topics and methods in quantum theory -- Selfadjoint operator theory in quantum theory, including spectral analysis. msc / Statistical mechanics, structure of matter -- Equilibrium statistical mechanics -- Disordered systems (random Ising models, random Schrödinger operators, etc.). msc / Statistical mechanics, structure of matter -- Equilibrium statistical mechanics -- Quantum equilibrium statistical mechanics (general). msc / Statistical mechanics, structure of matter -- Time-dependent statistical mechanics (dynamic and nonequilibrium) -- Kinetic theory of gases. msc / Statistical mechanics, structure of matter -- Time-dependent statistical mechanics (dynamic and nonequilibrium) -- Quantum dynamics and nonequilibrium statistical mechanics (general). msc
• ISBN: 9780821868980, 0821868985