Critical Phenomena are Present in Many Situations in Different Areas

• Grant number: 95/00790-1
• Support Opportunities: Research Projects - Thematic Grants
• Start date: September 01, 1995
• End date: September 30, 1998
• Field of knowledge: Physical Sciences and Mathematics - Probability and Statistics - Probability
• Principal Investigator: Pablo Augusto Ferrari
• Grantee: Pablo Augusto Ferrari
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant(s): 98/07163-0 - Timo Seppalainen | Iowa State University - Estados Unidos, AV.EXT; 98/03704-7 - Rare events in stochastic dynamical systems and failures in ultra reliable reactive programs., AR.EXT; 98/03956-6 - Shocks, characteristics and random rates in the asymmetric simple exclusion process., AR.EXT; + associated grants 98/00684-5 - Alan Daniel Sokal | New York University - Estados Unidos, AV.EXT; 97/12985-7 - Krishnamurthi Ravishankar | State University of New York at New Paltz - Estados Unidos, AV.EXT; 97/12226-9 - Alejandro naas | Universidad Chile - Chile, AV.EXT; 97/06493-4 - André Toom | University of the Incarnate World - Estados Unidos, AV.EXT; 97/03326-0 - Timo Seppalainen | Iowa State University - Estados Unidos, AV.EXT; 97/03629-2 - Carol Bezuidenhout | University of Rochester - Estados Unidos, AV.EXT; 97/01498-8 - Michail Menshikov | Moscow State University - Rússia, AV.EXT; 96/07970-8 - Roberto Henrique Schonmann | University of California - Estados Unidos, AV.EXT; 95/09047-0 - Norio Konno | Faculty of Engineering Muroran Institute of Technology - Japão, AV.EXT; 95/09046-3 - Krishnamurthai Ravishankar | State University of New York at New Paltz - Estados Unidos, AV.EXT - associated grants
• Associated scholarship(s): 98/01716-8 - Studying disordered systems at low temperature: contour expansions and large deviations, BP.PD; 96/04860-7 - Times of occurences of rare events (and other hyperbolic-like behaviours in non uniformly hyperbolic systems)., BP.PD

Abstract

Critical phenomena are present in many situations in different areas, in particular in mathematics, physics, engineering, biology, chemics, ecology, linguistics, etc. Quantitative and qualitative study of models describing critical phenomena in these areas originate mathematical questions in dynamical systems, complex systems, interacting particle systems, statistical mechanics, etc. The study of critical phenomena is extremely relevant from the point of view of both the interface between mathematics and the other sciences and intrinsically mathematical. In this project we concentrate our activities in the study of (1) complex systems, (2) interacting particle systems, (3) statistical mechanics of disordered systems, (4) dynamical systems, (5) approach to equilibrium and metaestability. (AU)