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On the Behavior of Random Walk Around Heavy Points |
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| Authors: | Endre Csáki Antónia Földes Pál Révész |
| Affiliation: | 1.Alfréd Rényi Institute of Mathematics,Hungarian Academy of Sciences,Budapest,Hungary;2.Department of Mathematics,College of Staten Island, CUNY,New York,USA;3.Institut für Statistik und Wahrscheinlichkeitstheorie,Technische Universit?t Wien,Vienna,Austria |
| Abstract: | Consider a symmetric aperiodic random walk in Z d , d≥3. There are points (called heavy points) where the number of visits by the random walk is close to its maximum. We investigate the local times around these heavy points and show that they converge to a deterministic limit as the number of steps tends to infinity. |
| Keywords: | Random walk in d-dimension Local time Occupation time Strong theorems |
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