Universality for mathematical and physical systems Export

@misc{citeulike:550409, abstract = {All physical systems in equilibrium obey the laws of thermodynamics. In other words, whatever the precise nature of the interaction between the atoms and molecules at the microscopic level, at the macroscopic level, physical systems exhibit universal behavior in the sense that they are all governed by the same laws and formulae of thermodynamics. In this paper we describe some recent history of universality ideas in physics starting with Wigner's model for the scattering of neutrons off large nuclei and show how these ideas have led mathematicians to investigate universal behavior for a variety of mathematical systems. This is true not only for systems which have a physical origin, but also for systems which arise in a purely mathematical context such as the Riemann hypothesis, and a version of the card game solitaire called patience sorting.}, archivePrefix = {arXiv}, author = {Deift, Percy}, citeulike-article-id = {550409}, citeulike-linkout-0 = {http://arxiv.org/abs/math-ph/0603038}, citeulike-linkout-1 = {http://arxiv.org/pdf/math-ph/0603038}, day = {13}, eprint = {math-ph/0603038}, keywords = {equilibrium, mathematical-structures, physical-structures, physical-systems, thermodynamics, universality}, month = {Mar}, posted-at = {2009-06-02 16:14:45}, priority = {2}, title = {Universality for mathematical and physical systems}, url = {http://arxiv.org/abs/math-ph/0603038}, year = {2006} }

TY - ELEC ID - citeulike:550409 L3 - citeulike-article-id:550409 N2 - All physical systems in equilibrium obey the laws of thermodynamics. In other words, whatever the precise nature of the interaction between the atoms and molecules at the microscopic level, at the macroscopic level, physical systems exhibit universal behavior in the sense that they are all governed by the same laws and formulae of thermodynamics. In this paper we describe some recent history of universality ideas in physics starting with Wigner's model for the scattering of neutrons off large nuclei and show how these ideas have led mathematicians to investigate universal behavior for a variety of mathematical systems. This is true not only for systems which have a physical origin, but also for systems which arise in a purely mathematical context such as the Riemann hypothesis, and a version of the card game solitaire called patience sorting. TI - Universality for mathematical and physical systems KW - equilibrium KW - mathematical-structures KW - physical-structures KW - physical-systems KW - thermodynamics KW - universality AU - Deift, Percy PY - 2006/Mar/13/ UR - http://arxiv.org/abs/math-ph/0603038 ER -