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Large deviations from the hydrodynamical limit of mean zero asymmetric zero range processes

Author

Listed:
  • Benois, O.
  • Kipnis, C.
  • Landim, C.

Abstract

We prove an upper and a lower bound, which coincide for smooth profiles, of large deviations from the hydrodynamical limit of the empirical measure for a class of zero range processes in infinite volume starting from equilibrium. This result relies on a superexponential estimate in infinite volume which is proved in the last section of this paper.

Suggested Citation

  • Benois, O. & Kipnis, C. & Landim, C., 1995. "Large deviations from the hydrodynamical limit of mean zero asymmetric zero range processes," Stochastic Processes and their Applications, Elsevier, vol. 55(1), pages 65-89, January.
    • Handle: RePEc:eee:spapps:v:55:y:1995:i:1:p:65-89
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    Cited by:

    1. Farfan, J. & Landim, C. & Mourragui, M., 2011. "Hydrostatics and dynamical large deviations of boundary driven gradient symmetric exclusion processes," Stochastic Processes and their Applications, Elsevier, vol. 121(4), pages 725-758, April.
    2. Benjamini, I. & Ferrari, P. A. & Landim, C., 1996. "Asymmetric conservative processes with random rates," Stochastic Processes and their Applications, Elsevier, vol. 61(2), pages 181-204, February.

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