On the Dependence Structure in Random Interlacements and the Meeting Time of Rando...
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| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Estadual Campinas, UNICAMP, Inst Math Stat & Sci Computat, Dept Stat, Campinas, SP - Brazil
Total Affiliations: 1
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| Document type: | Journal article |
| Source: | Journal of Statistical Physics; v. 177, n. 6, p. 1216-1239, DEC 2019. |
| Web of Science Citations: | 0 |
| Abstract | |
In this paper we obtain a decoupling feature of the random interlacements process I-u subset of Z(d), at level u, d >= 3. More precisely, we show that the trace of the random interlacements process on two disjoint finite sets, F and its translated F + x, can be coupled with high probability of success, when parallel to x parallel to is large, with the trace of a process of independent excursions, which we call the noodle soup process. As a consequence, we obtain an upper bound on the covariance between two {[}0, 1]-valued functions depending on the configuration of the random interlacements on F and F + x, respectively. This improves a previous bound obtained by Sznitman (Ann Math 2(171):2039-2087, 2010). (AU) | |
| FAPESP's process: | 17/02022-2 - Random interlacement models |
| Grantee: | Serguei Popov |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 14/14323-9 - On the Dependence Structure in Random Interlacements and the Meeting Time of Random Walks in Random Environments |
| Grantee: | Diego Fernando de Bernardini |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 17/10555-0 - Stochastic modeling of interacting systems |
| Grantee: | Fabio Prates Machado |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 17/19876-4 - Asymptotic properties of chains of infinite order |
| Grantee: | Christophe Frédéric Gallesco |
| Support Opportunities: | Regular Research Grants |