On the local time of random walk on the 2-dimensional comb (Q544520)
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scientific article; zbMATH DE number 5908035
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the local time of random walk on the 2-dimensional comb |
scientific article; zbMATH DE number 5908035 |
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On the local time of random walk on the 2-dimensional comb (English)
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15 June 2011
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The authors consider a simple random walk on the two dimensional comb lattice, where the non-zero transition probabilities are equal to 1/4 if the particle is on the horizontal axis and they are equal to 1/2 otherwise. They established earlier strong approximation theorems leading to a Strassen-type almost sure set of limit points [Electron. J. Probab. 14, 2371--2390 (2009; Zbl 1190.60020)]. In this paper, they extend their results to general distributions along the horizontal and vertical directions. They present an exhaustive list of references.
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random walk
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2-dimensional comb
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strong approximation
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2-dimensional Wiener process
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laws of the iterated logarithm
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iterated Brownian motion
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