Please use this identifier to cite or link to this item:
https://hdl.handle.net/20.500.12202/9585
Title: | Number of distinct sites visited by a random walk with internal states. |
Authors: | Nándori, Péter 0000-0001-8238-6653 |
Keywords: | Mathematics - Probability Keywords Random walk with internal states Visited points Law of large numbers Local limit theorem Markov chain |
Issue Date: | 2016 |
Publisher: | Springer |
Citation: | Nándori, P. (2016). Number of distinct sites visited by a random walk with internal states. https://doi.org/10.1007/s00440-010-0277-8 |
Abstract: | In the classical paper of Dvoretzky-Erd\H{o}s, asymptotics for the expected value and the variance of the number of distinct sites visited by a Simple Symmetric Random Walk were calculated. Here, these results are generalized for Random Walks with Internal States. Moreover, both weak and strong laws of large numbers are proved. As a tool for these results, the error term of the local limit theorem in of Kr\'amli and Sz\'asz is also estimated. |
Description: | Scholarly article / OA |
URI: | http://arxiv.org/abs/1603.07585 https://hdl.handle.net/20.500.12202/9585 |
Appears in Collections: | Stern College for Women -- Faculty Publications |
Files in This Item:
File | Description | Size | Format | |
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Nandori OA Number of distinct 2010 s00440-010-0277-8-1.pdf | 256.53 kB | Adobe PDF | View/Open |
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