Abstract
We prove an energy estimate for the polar empirical measure of the two-dimensional symmetric simple exclusion process. We deduce from this estimate and from results in (Chang et al. in Ann Probab 32:661–691, (2004) [2]) large deviations principles for the polar empirical measure and for the occupation time of the origin.
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Acknowledgements
This work has been partially supported by FAPERJ CNE E-26/201.207/2014, by CNPq Bolsa de Produtividade em Pesquisa PQ 303538/2014-7, by ANR-15-CE40-0020-01 LSD of the French National Research Agency.
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Landim, C., Chang, CC., Lee, TY. (2019). A Large Deviations Principle for the Polar Empirical Measure in the Two-Dimensional Symmetric Simple Exclusion Process. In: Friz, P., König, W., Mukherjee, C., Olla, S. (eds) Probability and Analysis in Interacting Physical Systems. VAR75 2016. Springer Proceedings in Mathematics & Statistics, vol 283. Springer, Cham. https://doi.org/10.1007/978-3-030-15338-0_8
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DOI: https://doi.org/10.1007/978-3-030-15338-0_8
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