某些相关可解李群的泊松边界的显式描述

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics Pub Date : 2001-10-01 DOI:10.1016/S0764-4442(01)02121-8

Christophe Cuny

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引用次数: 1

摘要

设G是一个带阿贝尔派生群的连通可解李群，μ是G上的一个展开的概率测度，我们用规律μ的右随机游走的几乎确定收敛性给出了泊松边界的显式描述。我们用积分判据刻画了一些物质群的泊松边界。

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Description explicite de la frontière de Poisson pour certains groupes de Lie résolubles connexes

Let G be a connected solvable Lie group with abelian derived group and μ be a spread out probability measure on G. We give an explicit description of the Poisson boundary in terms of almost sure convergence of the right random walk of law μ. We characterize the Poisson boundary by an integral criterion for some matricial groups.

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Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

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