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Fluctuations from the hydrodynamical limit for the symmetric simple exclusion in d

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  • Ravishankar, K.

Abstract

We show that the fluctuation field of the simple exclusion process on d converges to a mean zero generalized Ornstein-Uhlenbeck process.

Suggested Citation

  • Ravishankar, K., 1992. "Fluctuations from the hydrodynamical limit for the symmetric simple exclusion in d," Stochastic Processes and their Applications, Elsevier, vol. 42(1), pages 31-37, August.
  • Handle: RePEc:eee:spapps:v:42:y:1992:i:1:p:31-37
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    Cited by:

    1. Franco, Tertuliano & Gonçalves, Patrícia & Neumann, Adriana, 2019. "Non-equilibrium and stationary fluctuations of a slowed boundary symmetric exclusion," Stochastic Processes and their Applications, Elsevier, vol. 129(4), pages 1413-1442.
    2. Xue, Xiaofeng & Zhao, Linjie, 2021. "Non-equilibrium fluctuations of the weakly asymmetric normalized binary contact path process," Stochastic Processes and their Applications, Elsevier, vol. 135(C), pages 227-253.
    3. Xue, Xiaofeng & Zhao, Linjie, 2020. "Hydrodynamics of the weakly asymmetric normalized binary contact path process," Stochastic Processes and their Applications, Elsevier, vol. 130(11), pages 6757-6782.

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