Functional large deviations for burgers particle systems

Research output

1 Citation (Scopus)


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.

Original languageEnglish
Pages (from-to)41-66
Number of pages26
JournalCommunications on Pure and Applied Mathematics
Issue number1
Publication statusPublished - 1 Jan 2007

Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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