Uniform shrinking and expansion under isotropic Brownian flows

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dc.creatorBaxendale, Peter
dc.creatorDimitroff, Georgi
dc.date2009-01-28
dc.date.accessioned2026-07-07T12:35:10Z
dc.date.available2026-07-07T12:35:10Z
dc.descriptionWe study some finite time transport properties of isotropic Brownian flows. Under a certain nondegeneracy condition on the potential spectral measure, we prove that uniform shrinking or expansion of balls under the flow over some bounded time interval can happen with positive probability. We also provide a control theorem for isotropic Brownian flows with drift. Finally, we apply the above results to show that under the nondegeneracy condition the length of a rectifiable curve evolving in an isotropic Brownian flow with strictly negative top Lyapunov exponent converges to zero as $t\to \infty$ with positive probability.
dc.identifierhttps://arxiv.org/abs/0901.4414
dc.identifierhttp://arxiv.org/abs/0901.4414
dc.identifierdoi:10.1007/s10959-008-0193-3
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217683
dc.subjectProbability
dc.subject37H10; 60H10
dc.titleUniform shrinking and expansion under isotropic Brownian flows
dc.typetext

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