Harmonic Analysis for Anisotropic Random Walks on Homogeneous Trees

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  • Harmonic Analysis for Anisotropic Random Walks on Homogeneous Trees Book Detail

  • Author : Alessandro Figà-Talamanca
  • Release Date : 1994
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 86
  • ISBN 13 : 0821825941
  • File Size : 95,95 MB

Harmonic Analysis for Anisotropic Random Walks on Homogeneous Trees by Alessandro Figà-Talamanca PDF Summary

Book Description: This work presents a detailed study of the anisotropic series representations of the free product group Z/2Z*...*Z/2Z. These representations are infinite dimensional, irreducible, and unitary and can be divided into principal and complementary series. Anisotropic series representations are interesting because, while they are not restricted from any larger continuous group in which the discrete group is a lattice, they nonetheless share many properties of such restrictions. The results of this work are also valid for nonabelian free groups on finitely many generators.

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Random Walks on Infinite Graphs and Groups

Random Walks on Infinite Graphs and Groups

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The main theme of this book is the interplay between the behaviour of a class of stochastic processes (random walks) and discrete structure theory. The author c