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arXiv · 2003.08108

Angular asymptotics for random walks

Alejandro López Hernández·Andrew R. Wade
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Abstract

We study the set of directions asymptotically explored by a spatially homogeneous random walk in $d$-dimensional Euclidean space. We survey some pertinent results of Kesten and Erickson, make some further observations, and present some examples. We also explore links to the asymptotics of one-dimensional projections, and to the growth of the convex hull of the random walk.

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Alejandro López Hernández, Andrew R. Wade. 2020-03-18. Angular asymptotics for random walks. https://doi.org/10.1007/978-3-030-83309-1_17

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