Longest increasing subsequences of random walks and correlated time series
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The transition from finite to infinite measures in dynamical systems
| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] UFABC Ctr Matemat Comp & Cognicao, Ave Estados 5001, Santo Andre, SP - Brazil
Total Affiliations: 1
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| Document type: | Journal article |
| Source: | JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT; v. 2021, n. 1 JAN 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
In this work we study asymptotic properties of a long range memory random walk known as elephant random walk. First we prove recurrence and positive recurrence for the elephant random walk. Then, we establish the transience regime of the model. Finally, under the Poisson hypothesis, we study the replica mean field limit for this random walk and we obtain an upper bound for the expected distance of the walker from the origin. (AU) | |
| FAPESP's process: | 17/10555-0 - Stochastic modeling of interacting systems |
| Grantee: | Fabio Prates Machado |
| Support Opportunities: | Research Projects - Thematic Grants |