Probability and Geometry on Groups Course 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
| Description : | Download Probability and Geometry on Groups course, free PDF book by Gabor Pete Technical University of Budapest. |
| Level : | Beginners |
| Created : | March 30, 2016 |
| Size : | 2.4 MB |
| File type : | |
| Pages : | 234 |
| Author : | Gabor Pete Technical University of Budapest |
| Downloads : | 606 |
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