Stochastic dynamics: analytical and geometrical aspects with applications
Stochastic dynamics: analytical and geometrical aspects with applications
| Full text | |
| Author(s): |
Ledesma, Diego S.
Total Authors: 1
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| Document type: | Journal article |
| Source: | Stochastic Analysis and Applications; v. 43, n. 5, p. 16-pg., 2025-08-08. |
| Abstract | |
In this work, we revisit the theory of considering diffusion processes as 1-currents defined by line integrals along their trajectories. Specifically, we will study diffusion processes defined by solutions to stochastic differential equations, with a particular focus on foliated Brownian motion. We will explore the connection between this theory, the Godbillon-Vey class, and the entropy of foliations on compact Riemannian manifolds. (AU) | |
| FAPESP's process: | 18/13481-0 - Geometry of control, dynamical and stochastic systems |
| Grantee: | Marco Antônio Teixeira |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 20/04426-6 - Stochastic dynamics: analytical and geometrical aspects with applications |
| Grantee: | Paulo Regis Caron Ruffino |
| Support Opportunities: | Research Projects - Thematic Grants |