Large Deviations for Interacting Particle Systems

Varadhan, S. R. S.

doi:10.1007/978-1-4612-2168-5_20

S. R. S. Varadhan³

Part of the book series: Progress in Probability ((PRPR,volume 44))

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Abstract

We consider large systems of interacting particles. We obtain a large deviation principle for the empirical process viewed as a random measure on the path space. The precise rate function is obtained. While the formula is fairly general, the explicit dependence on the model is seen through quantities like bulk and self diffusion coefficients.

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Authors and Affiliations

Courant Institute of Mathematical Science Department of Mathematics, New York University, 251 Mercer Street, New York, NY, 10012, USA
S. R. S. Varadhan

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S. R. S. Varadhan
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Editors and Affiliations

School of Mathematics, University of Minnesota, Minneapolis, MN, 55455, USA
Maury Bramson
Department of Mathematics, Cornell University, Ithaca, NY, 14853, USA
Rick Durrett

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Varadhan, S.R.S. (1999). Large Deviations for Interacting Particle Systems. In: Bramson, M., Durrett, R. (eds) Perplexing Problems in Probability. Progress in Probability, vol 44. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2168-5_20

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DOI: https://doi.org/10.1007/978-1-4612-2168-5_20
Publisher Name: Birkhäuser Boston
Print ISBN: 978-1-4612-7442-1
Online ISBN: 978-1-4612-2168-5
eBook Packages: Springer Book Archive

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