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- W2035312386 abstract "In the context of a heat kernel diffusion which admits a Gaussian type estimate with parameter $$beta $$ on a local Dirichlet space, we consider the log asymptotic behavior of the negative exponential moments of the Wiener sausage. We show that the log asymptotic behavior up to time $$t^{beta }V(x,t)$$ is $$-V(x,t)$$ , which is analogous to the Euclidean result. Here, $$V(x,t)$$ represents the mass of the ball of radius $$t$$ about a point $$x$$ of the local Dirichlet space. The proof of the upper asymptotic uses a known coarse graining technique which must be adapted to the non-transitive setting. This result provides the first such asymptotics for several other contexts, including diffusions on complete Riemannian manifolds with nonnegative Ricci curvature." @default.
- W2035312386 created "2016-06-24" @default.
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- W2035312386 date "2014-04-28" @default.
- W2035312386 modified "2023-09-27" @default.
- W2035312386 title "The Rate of Decay of the Wiener Sausage in Local Dirichlet Space" @default.
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- W2035312386 doi "https://doi.org/10.1007/s10959-014-0553-0" @default.
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