| Full text | |
| Author(s): |
Total Authors: 3
|
| Affiliation: | [1] Univ Catolica San Pablo, Arequipa - Peru
[2] Univ Estadual Campinas, Campinas, SP - Brazil
[3] Univ Estadual Paulista, UNESP, Bauru, SP - Brazil
Total Affiliations: 3
|
| Document type: | Journal article |
| Source: | Stochastics and Dynamics; v. 19, n. 6 DEC 2019. |
| Web of Science Citations: | 0 |
| Abstract | |
In this work, we construct a g(t)-Brownian motion via an isometric embedding, whose approach permit to define the Laplace operator associated with parametrized metric g(t), for every t. We present an Ito formula for stochastic flow acting on time-dependent tensor fields, in particular to the metric g(t) and consequently to the norm of a stochastic process in TM. We use this approach to study stability by pth moment exponent of g(t)-Brownian motion and its applications on homotopy groups. (AU) | |
| FAPESP's process: | 15/07278-0 - Stochastic dynamics: analytical and geometrical aspects with applications |
| Grantee: | Paulo Regis Caron Ruffino |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 12/18780-0 - Geometry of control systems, dynamical and stochastics systems |
| Grantee: | Marco Antônio Teixeira |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 18/16568-0 - An averaging principle for stochastic differential equations |
| Grantee: | Fabiano Borges da Silva |
| Support Opportunities: | Regular Research Grants |