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- W1992034986 abstract "Let $(X_t,tgeq 0)$ be a simple symmetric random walk on $mathbb{Z}^d$ and for any $xinmathbb{Z}^d$, let $ l_t(x)$ be its local time at site $x$. For any $p>1$, we denote by$ I_t= sumlimits_{xinmathbb{Z}^d} l_t(x)^p $ the p-fold self-intersection local times (SILT). Becker and König recently proved a large deviations principle for $I_t$ for all $p>1$ such that $p(d-2/p)<2$. We extend these results to a broader scale of deviations and to the whole subcritical domain $p(d-2)<d$. Moreover, we unify the proofs of the large deviations principle using a method introduced by Castell for the critical case $p(d-2)=d$." @default.
- W1992034986 created "2016-06-24" @default.
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- W1992034986 date "2012-01-01" @default.
- W1992034986 modified "2023-09-25" @default.
- W1992034986 title "Large deviations for self-intersection local times in subcritical dimensions" @default.
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- W1992034986 doi "https://doi.org/10.1214/ejp.v17-1874" @default.
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