Determination of the Spectral Gap for Kac's Master Equation and Related Stochastic Evolutions

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dc.creatorCarlen, Eric A.
dc.creatorCarvalho, Maria C.
dc.creatorLoss, Michael
dc.date2001-09-03
dc.date.accessioned2026-07-07T04:28:38Z
dc.date.available2026-07-07T04:28:38Z
dc.descriptionWe present a method for bounding, and in some cases computing, the spectral gap for systems of many particles evolving under the influence of a random collision mechanism. In particular, the method yields the exact spectral gap in a model due to Mark Kac of energy conserving collisions with one dimensional velocities. It is also sufficiently robust to provide qualitatively sharp bounds also in the case of more physically realistic momentum and energy conserving collisions in three dimensions, as well as a range of related models.
dc.descriptionPlain TeX, 49 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0109003
dc.identifierhttp://arxiv.org/abs/math-ph/0109003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56860
dc.subjectMathematical Physics
dc.titleDetermination of the Spectral Gap for Kac's Master Equation and Related Stochastic Evolutions
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