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Probability and Geometry on Groups in pdf

  • 1 Basic examples of random walks
  • 2 Free groups and presentations
  • 3 The asymptotic geometry of groups
  • 4 Nilpotent and solvable groups
  • 5 Isoperimetric inequalities
  • 6 Random walks, discrete potential theory, martingales
  • 7 Cheeger constant and spectral gap
  • 8 Isoperimetric inequalities and return probabilities in general
  • 9 Speed, entropy, Liouville property, Poisson boundary
  • 10 Growth of groups, of harmonic functions and of random walks
  • 11 Harmonic Dirichlet functions and Uniform Spanning Forests
  • 12 Percolation theory
  • 13 Further spatial models
  • 14 Local approximations to Cayley graphs
  • 15 Some more exotic groups
  • 16 Quasi-isometric rigidity and embeddings

Course, tutorial Summary Probability and Geometry on Groups

Course material to download for free on Probability and Geometry on Groups category Mathematics.
This course is intended for a strictly personal use, the file is of format pdf level Beginner , the size of this file is 2.4 MB.

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