Exponential mixing for finite-dimensional approximations of the Schrödinger equation with multiplicative noise

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dc.creatorNersesyan, Vahagn
dc.date2007-10-19
dc.date.accessioned2026-07-07T08:37:20Z
dc.date.available2026-07-07T08:37:20Z
dc.descriptionWe study the ergodicity of finite-dimensional approximations of the Schrödinger equation. The system is driven by a multiplicative scalar noise. Under general assumptions over the distribution of the noise, we show that the system has a unique stationary measure $μ$ on the unit sphere $S$ in $\C^n$, and $μ$ is absolutely continuous with respect to the Riemannian volume on $S$. Moreover, for any initial condition in $S$, the solution converges exponentially fast to the measure $μ$ in the variational norm.
dc.identifierhttps://arxiv.org/abs/0710.3693
dc.identifierhttp://arxiv.org/abs/0710.3693
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140366
dc.subjectMathematical Physics
dc.titleExponential mixing for finite-dimensional approximations of the Schrödinger equation with multiplicative noise
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