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- W4289772994 abstract "In the context of countable groups of polynomial volume growth, we consider a large class of random walks that are allowed to take long jumps along multiple subgroups according to power law distributions. For such a random walk, we study the large time behavior of its probability of return at time $n$ in terms of the key parameters describing the driving measure and the structure of the underlying group. We obtain assorted estimates including near-diagonal two-sided estimates and the Holder continuity of the solutions of the associated discrete parabolic difference equation. In each case, these estimates involve the construction of a geometry adapted to the walk." @default.
- W4289772994 created "2022-08-04" @default.
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- W4289772994 date "2018-07-01" @default.
- W4289772994 modified "2023-09-27" @default.
- W4289772994 title "Long range random walks and associated geometries on groups of polynomial growth" @default.
- W4289772994 doi "https://doi.org/10.48550/arxiv.1807.00354" @default.
- W4289772994 hasPublicationYear "2018" @default.
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