The Poisson boundary of random rational affinities

DOI10.5802/aif.2191zbMath1087.60011arXivmath/0403198OpenAlexW1513826125MaRDI QIDQ2488760

Sara Brofferio

Publication date: 15 May 2006

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

Full work available at URL: https://arxiv.org/abs/math/0403198

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Measures on groups and semigroups, etc. (43A05) Analysis on (p)-adic Lie groups (22E35) Probability theory on algebraic and topological structures (60B99)

Related Items

Random walks on Baumslag-Solitar groups ⋮ Boundaries of dense subgroups of totally disconnected groups ⋮ Poisson boundary of \(GL_d (\mathbb Q)\) ⋮ The Poisson boundary of random rational affinities ⋮ Product set phenomena for measured groups ⋮ Poisson boundary of triangular matrices in a number field ⋮ Random walks on the discrete affine group

Cites Work

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• Random walks on discrete groups: Boundary and entropy
• Strict stationarity of generalized autoregressive processes
• Random difference equations and renewal theory for products of random matrices
• Random walks on the affine group of local fields and of homogeneous trees
• The random difference equation \(X_ n = A_ n X_{n-1} + B_ n\) in the critical case
• Speed of stochastic locally contractive systems.
• The Poisson boundary of random rational affinities
• On a stochastic difference equation and a representation of non–negative infinitely divisible random variables
• The Poisson formula for groups with hyperbolic properties