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André Toom | University of the Incarnate World - Estados Unidos

Grant number: 97/06493-4
Support type:Research Grants - Visiting Researcher Grant - International
Duration: August 18, 1997 - August 17, 1998
Field of knowledge:Physical Sciences and Mathematics - Probability and Statistics
Principal Investigator:Pablo Augusto Ferrari
Grantee:Pablo Augusto Ferrari
Visiting researcher: André Toom
Visiting researcher institution: University of the Incarnate Word, United States
Home Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Associated research grant:95/00790-1 - Critical Phenomena are Present in Many Situations in Different Areas, AP.TEM

Abstract

Random processes with local interaction, existence and properties of their invariant distributions and their asymptotic behavior will be studied. Particular attention will be devoted to two special topics: (a) spontaneous symmetry breaking and (b) mathematical models of interfaces with linear interaction. In (a), we will investigate certain models that seem to contradict to the common belief that the spontaneous symmetry breaking does not exist in one-dimensional models. In (b), we will investigate the processes that model crystallic structures (Hammersley's harnesses) and sandpiles (Edwards & Wilkinson's equation). These studies are relevant to problems of dynamic scaling, fractal surfaces and percolation networks. (AU)