## The Poisson boundary of random rational affinities.(English)Zbl 1087.60011

Summary: We prove that in order to describe the Poisson boundary of rational affinities, it is necessary and sufficient to consider the action on real and all $$p$$-adic fields.

### MSC:

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

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