Random walk on comb-type subsets of Z^2

Random walk on comb-type subsets of Z^2

We study the path behavior of the simple symmetric walk on some comb-type subsets of Z^2 which are obtained from Z^2 by removing all horizontal edges belonging to certain sets of values on the y-axis. We obtain some strong approximation results and discuss their consequences.

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Bibliographische Detailangaben
Hauptverfasser: Csaki, Endre, Foldes, Antonia
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Probability
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Beschreibung
Zusammenfassung:We study the path behavior of the simple symmetric walk on some comb-type subsets of Z^2 which are obtained from Z^2 by removing all horizontal edges belonging to certain sets of values on the y-axis. We obtain some strong approximation results and discuss their consequences.
DOI:10.48550/arxiv.1810.11810