On the Local Time of Anisotropic Random Walk on Z2

On the Local Time of Anisotropic Random Walk on Z2

We study the local time of the anisotropic random walk on the two-dimensional lattice Z 2 , by establishing the exact asymptotic behavior of the N -step return probability to the origin.

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Veröffentlicht in:Journal of theoretical probability 2024, Vol.37 (2), p.1654-1673
Hauptverfasser: Csáki, Endre, Földes, Antónia
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic properties
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
Random walk
Statistics
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Beschreibung
Zusammenfassung:We study the local time of the anisotropic random walk on the two-dimensional lattice Z 2 , by establishing the exact asymptotic behavior of the N -step return probability to the origin.
ISSN:0894-9840
1572-9230
DOI:10.1007/s10959-023-01297-y