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DC Field | Value | Language |
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dc.contributor.author | Nándori, Péter | - |
dc.date.accessioned | 2023-11-30T22:46:10Z | - |
dc.date.available | 2023-11-30T22:46:10Z | - |
dc.date.issued | 2011 | - |
dc.identifier.citation | Nándori, P. (2011). Recurrence properties of a special type of heavy-tailed random walk. Journal of Statistical Physics: 1, 142(2), 342–355. https://doi-org.ezproxy.yu.edu/10.1007/s10955-010-0116-4 | en_US |
dc.identifier.issn | 0022-4715 1572-9613 | - |
dc.identifier.uri | https://hdl.handle.net/20.500.12202/9576 | - |
dc.description | Scholarly article / OA (arXiv PDF) | en_US |
dc.description.abstract | In the proof of the invariance principle for locally perturbed periodic Lorentz process with finite horizon, a lot of delicate results were needed concerning the recurrence properties of its unperturbed version. These were analogous to the similar properties of Simple Symmetric Random Walk. How- ever, in the case of Lorentz process with infinite horizon, the analogous results for the corresponding random walk are not known, either. In this paper, these properties are ascertained for the appropri- ate random walk (this happens to be in the non normal domain of attraction of the normal law). As a tool, an estimation of the remainder term in the local limit theorem for the corresponding random walk is computed. | en_US |
dc.description.sponsorship | Acknowledgements Special thanks are due to Domokos Sz´asz and Tam´as Varj´u as this work was inspired by personal communications with them. The author is also grateful to Andr´as Telcs for reading the manuscript and making useful comments. | en_US |
dc.language.iso | en_US | en_US |
dc.relation.ispartofseries | Journal of Statistical Physics;1 | - |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 United States | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/us/ | * |
dc.subject | Random walk | en_US |
dc.subject | Heavy tail | en_US |
dc.subject | Recurrence | en_US |
dc.subject | Local limit theorem | en_US |
dc.title | Recurrence properties of a special type of heavy-tailed random walk | en_US |
dc.type | Article | en_US |
dc.identifier.doi | https://doi.org/10.1007/s10955-010-0116-4 | en_US |
dc.contributor.orcid | 0000-0001-8238-6653 | en_US |
local.yu.facultypage | https://sites.google.com/view/peternandori | en_US |
Appears in Collections: | Stern College for Women -- Faculty Publications |
Files in This Item:
File | Description | Size | Format | |
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Nandori OA arXiv Recurrence 2011 1603.07586.pdf | 165.03 kB | Adobe PDF | View/Open |
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