Asymptotics for the heat kernel in multicone domains
| dc.contributor.author | Collet, Pierre | |
| dc.contributor.author | Duarte, Mauricio | |
| dc.contributor.author | Martínez, Servet | |
| dc.contributor.author | Prat-Waldron, Arturo | |
| dc.contributor.author | San Martín, Jaime | |
| dc.date.accessioned | 2023-11-21T17:01:14Z | |
| dc.date.available | 2023-11-21T17:01:14Z | |
| dc.date.issued | 2016-02 | |
| dc.description | Indexación: Scopus. | es |
| dc.description.abstract | A multicone domain Ω ⊆ Rn is an open, connected set that resembles a finite collection of cones far away from the origin. We study the rate of decay in time of the heat kernel p(t, x, y) of a Brownian motion killed upon exiting Ω, using both probabilistic and analytical techniques. We find that the decay is polynomial and we characterize limt→∞ t1+αp(t, x, y) in terms of the Martin boundary of Ω at infinity, where α > 0 depends on the geometry of Ω. We next derive an analogous result for tκ/2Px(T >t), with κ = 1 + α − n/2, where T is the exit time from Ω. Lastly, we deduce the renormalized Yaglom limit for the process conditioned on survival. | es |
| dc.description.uri | https://www-sciencedirect-com.recursosbiblioteca.unab.cl/science/article/pii/S0022123615004760?via%3Dihub | |
| dc.identifier.citation | Journal of Functional Analysis. Volume 270, Issue 4, Pages 1269 - 1298. 15 February 2016 | es |
| dc.identifier.doi | 10.1016/j.jfa.2015.10.021 | |
| dc.identifier.issn | 0022-1236 | |
| dc.identifier.uri | https://repositorio.unab.cl/xmlui/handle/ria/54009 | |
| dc.language.iso | en | es |
| dc.publisher | Academic Press Inc. | es |
| dc.subject | Heat Kernel | es |
| dc.subject | Brownian Motion | es |
| dc.subject | Yaglom Limit | es |
| dc.subject | Martin Boundary | es |
| dc.title | Asymptotics for the heat kernel in multicone domains | es |
| dc.type | Artículo | es |
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