Poisson boundary of triangular matrices in a number field

DOI10.5802/aif.2441zbMath1171.60003arXivmath/0612272OpenAlexW1678661494MaRDI QIDQ1013024

Bruno Schapira

Publication date: 29 April 2009

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0612272

zbMATH Keywords

random walksPoisson boundarynumber fieldtriangular matricesBruhat decomposition

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Measure-preserving transformations (28D05) Ergodic theory on groups (22D40) Entropy and other invariants (28D20) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (1)

Poisson boundary of \(GL_d (\mathbb Q)\)

Cites Work

• Factor and normal subgroup theorems for lattices in products of groups
• Poisson boundaries of discrete groups of matrices
• Random walks on the affine group of local fields and of homogeneous trees
• The Poisson boundary of random rational affinities
• A Poisson formula for semi-simple Lie groups
• Frontière de furstenberg, propriétés de contraction et théorèmes de convergence
• The Poisson formula for groups with hyperbolic properties
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