Martingales and character ratios

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dc.creatorFulman, Jason
dc.date2004-02-25
dc.date.accessioned2026-07-07T05:05:43Z
dc.date.available2026-07-07T05:05:43Z
dc.descriptionSome general connections between martingales and character ratios of finite groups are developed. As an application we sharpen the convergence rate in a central limit theorem for the character ratio of a random representation of the symmetric group on transpositions. A generalization of these results is given for Jack measure on partitions. We also give a probabilistic proof of a result of Burnside and Brauer on the decomposition of tensor products.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/math/0402409
dc.identifierhttp://arxiv.org/abs/math/0402409
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70274
dc.subjectRepresentation Theory
dc.subjectProbability
dc.titleMartingales and character ratios
dc.typetext

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