On the Lyapunov Exponent of a Multidimensional Stochastic Flow
| dc.creator | Baldini, M. | |
| dc.date | 2006-10-22 | |
| dc.date.accessioned | 2026-07-07T07:29:19Z | |
| dc.date.available | 2026-07-07T07:29:19Z | |
| dc.description | Let $X_t$ be a reversible and positive recurrent diffusion in $R^d$ described by \begin{equation}\nonumber X_t=x+σb(t)+\int_0^tm(X_s)\dif s, \end{equation} where the diffusion coefficient $σ$ is a positive-definite matrix and the drift $m$ is a smooth function. Let $X_t(A)$ denote the image of a compact set $A\subset R^d$ under the stochastic flow generated by $X_t$. If the divergence of the drift is strictly negative, there exists a set of functions $u$ such that \[\lim_{t\to\infty} \int_{X_t(A)}u(x)\dif x=0\quad{a.s.} \] A characterization of the functions $u$ is provided, as well as lower and upper bounds for the exponential rate of convergence. | |
| dc.description | To appear on "Journal of Theoretical Probability" | |
| dc.identifier | https://arxiv.org/abs/math/0610665 | |
| dc.identifier | http://arxiv.org/abs/math/0610665 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/118059 | |
| dc.subject | Probability | |
| dc.subject | 60J60;31B05 | |
| dc.title | On the Lyapunov Exponent of a Multidimensional Stochastic Flow | |
| dc.type | text |