Prospects in mathematical physics : young researchers symposium of the 14th International Congress on Mathematical Physics, July 25-26, 2003, Lisbon, Portugal

Bibliographic Information

Prospects in mathematical physics : young researchers symposium of the 14th International Congress on Mathematical Physics, July 25-26, 2003, Lisbon, Portugal

José C. Mourão ... [et al.], editors

(Contemporary mathematics, 437)

American Mathematical Society, c2007

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Includes bibliographical references

Description and Table of Contents

Description

This book includes papers presented at the Young Researchers Symposium of the 14th International Congress on Mathematical Physics, held in July 2003, in Lisbon, Portugal. The goal of thes book is to illustrate various promising areas of mathematical physics in a way accessible to researchers at the beginning of their career. Two of the three laureates of the Henri Poincare Prizes, Huzihiro Araki and Elliott Lieb, also contributed to this volume. The book provides a good survey of some active areas of research in modern mathematical physics.

Table of Contents

Mean-field spin glass models from the cavity-ROSt perspective by M. Aizenman, R. Sims, and S. L. Starr Scaling algebras for charge carrying quantum fields and superselection structure at short distances by C. D'Antoni, G. Morsella, and R. Verch Equilibrium statistical mechanics of quantum lattice systems by H. Araki The rate of local equilibration in kinetic theory by E. A. Carlen Bifurcations of relative equilibria in simple mechanical systems by A. Hernandez-Garduno In and around the origin of quantum groups by V. F. R. Jones A second look at the second law of thermodynamics by E. H. Lieb and J. Yngvason Generating spectral gaps by geometry by F. Lledo and O. Post Stability of matter by M. Loss String thoery and knot invariants by M. Marino Slow dynamics of $\mathbb{CP}^1$ lumps on a cylinder by N. M. Romao A new approach to the study of the $3\mathcal{D}$-Navier-Stokes system by Y. Sinai From Liouville theory to the quantum geometry of Riemann surfaces by J. Teschner.

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