TY - JOUR

T1 - Functional large deviations for burgers particle systems

AU - Lifshits, M. A.

AU - Shi, Z.

PY - 2007/1/1

Y1 - 2007/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=33751544567&partnerID=8YFLogxK

U2 - 10.1002/cpa.20126

DO - 10.1002/cpa.20126

M3 - Article

AN - SCOPUS:33751544567

VL - 60

SP - 41

EP - 66

JO - Communications on Pure and Applied Mathematics

JF - Communications on Pure and Applied Mathematics

SN - 0010-3640

IS - 1

ER -