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  Extreme value statistics of positive recurrent centrally biased random walks

Artuso, R., Onofri, M., Pozzoli, G., & Radice, M. (2022). Extreme value statistics of positive recurrent centrally biased random walks. Journal of Statistical Mechanics: Theory and Experiment, 2022(10): 103209. doi:10.1088/1742-5468/ac98bd.

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Item Permalink: https://hdl.handle.net/21.11116/0000-000B-FFC7-6 Version Permalink: https://hdl.handle.net/21.11116/0000-000D-0662-E
Genre: Journal Article

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 Creators:
Artuso, Roberto1, Author
Onofri, Manuele1, Author
Pozzoli, Gaia1, Author
Radice, Mattia2, Author           
Affiliations:
1external, ou_persistent22              
2Max Planck Institute for the Physics of Complex Systems, Max Planck Society, ou_2117288              

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 Abstract: We consider the extreme value statistics of centrally-biased random walks with asymptotically-zero drift in the ergodic regime. We fully characterize the asymptotic distribution of the maximum for this class of Markov chains lacking translational invariance, with a particular emphasis on the relation between the time scaling of the expected value of the maximum and the stationary distribution of the process.

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Language(s): eng - English
 Dates: 2022-10-312022-10-31
 Publication Status: Issued
 Pages: -
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 Table of Contents: -
 Rev. Type: -
 Identifiers: ISI: 000877877300001
DOI: 10.1088/1742-5468/ac98bd
arXiv: 2207.07367
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Title: Journal of Statistical Mechanics: Theory and Experiment
Source Genre: Journal
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Publ. Info: Bristol, England : Institute of Physics Publishing
Pages: - Volume / Issue: 2022 (10) Sequence Number: 103209 Start / End Page: - Identifier: ISSN: 1742-5468
CoNE: https://pure.mpg.de/cone/journals/resource/111076098244006