Large Deviations in the Symmetric Simple Exclusion Process with Slow Boundaries
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DOI: 10.1007/s10955-020-02680-3
Abstract: We obtain the exact large deviation functions of the density profile and of the current, in the non-equilibrium steady state of a one dimensional symmetric simple exclusion process coupled to boundary reservoirs with slow rates.… read more here.
Keywords: symmetric simple; exclusion process; large deviations; simple exclusion ... See more keywords
Blocks of small defect in symmetric and simple groups
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DOI: 10.1080/00927872.2017.1411491
Abstract: ABSTRACT Let p be a prime, G a finite group, and r≥1. We say a p-block B with defect group D of G is r-small if . In this paper, we show that almost all… read more here.
Keywords: simple groups; blocks small; defect symmetric; small defect ... See more keywords
A non uniform bound for half-normal approximation of the number of returns to the origin of symmetric simple random walk
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DOI: 10.1080/03610926.2017.1300286
Abstract: ABSTRACT Let (Xn) be a sequence of independent identically distributed random variables with . A symmetric simple random walk is a discrete-time stochastic process (Sn)n ⩾ 0 defined by S0 = 0 and Sn =… read more here.
Keywords: simple random; uniform bound; number; random ... See more keywords
A local limit theorem and loss of rotational symmetry of planar symmetric simple random walk
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DOI: 10.1090/tran/7399
Abstract: We derive a local limit theorem for normal, moderate, and large deviations for symmetric simple random walk on the square lattice in dimensions one and two that is an improvement of existing results for points… read more here.
Keywords: local limit; simple random; limit theorem; random ... See more keywords