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- W1588871100 abstract "Kakutani (1944) discovered that a compact set IR is hit with positive probability by a d-dimensional Brownian motion (d 3) if and only if has positive Newtonian capacity. When capacity criteria were transferred to the discrete setting (by Ito and Mckean (1960) and Lamperti (1963)) it was in the form of a Wiener Test (c.f. Corollary 2.4). This kind of summability condition is quite e ective in deciding whether a given subset of a lattice is hit in nitely often by a random walk, but does not yield estimates of the probability of ever hitting the set. Such estimates are obtained from the discrete analogue of the following." @default.
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- W1588871100 date "1994-01-01" @default.
- W1588871100 modified "2023-10-18" @default.
- W1588871100 title "Martin capacity for Markov chains and random walks in varying dimensions" @default.
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