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Functional large deviations for burgers particle systems
Author(s) -
Lifshits Mikhail A.,
Shi Zhan
Publication year - 2007
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.20126
Subject(s) - particle system , mathematics , statistical physics , particle (ecology) , gaussian , interval (graph theory) , white noise , burgers' equation , state (computer science) , momentum (technical analysis) , type (biology) , mathematical analysis , physics , statistics , partial differential equation , computer science , combinatorics , algorithm , quantum mechanics , ecology , oceanography , finance , economics , biology , geology , operating system
Abstract We consider Burgers particle systems, i.e., one‐dimensional systems of sticky particles with discrete white‐noise‐type initial data (not necessarily Gaussian), and describe functional large deviations for the state of the systems at any given time. For specific functionals such as maximal particle mass, particle speed, rarefaction interval, momentum, and energy, the research was initiated by Avellaneda and E [1, 2] and pursued further by Ryan [14]. Our results extend those of Ryan and contain many other examples. © 2006 Wiley Periodicals, Inc.