Multifractional, multistable, and other processes with prescribed local form
| dc.creator | Falconer, K. J. | |
| dc.creator | Vehel, J. Levy | |
| dc.date | 2008-02-05 | |
| dc.date.accessioned | 2026-07-07T09:18:51Z | |
| dc.date.available | 2026-07-07T09:18:51Z | |
| dc.description | We present a general method for constructing stochastic processes with prescribed local form. Such processes include variable amplitude multifractional Brownian motion, multifractional $α$-stable processes, and multistable processes, that is processes that are locally $α(t)$-stable but where the stability index $α(t)$ varies with $t$. In particular we construct multifractional multistable processes where both the local self-similarity and stability indices vary. | |
| dc.description | 32 pages | |
| dc.identifier | https://arxiv.org/abs/0802.0645 | |
| dc.identifier | http://arxiv.org/abs/0802.0645 | |
| dc.identifier | doi:10.1007/s10959-008-0147-9 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/154177 | |
| dc.subject | Probability | |
| dc.subject | 60G18 | |
| dc.title | Multifractional, multistable, and other processes with prescribed local form | |
| dc.type | text |