On Kazhdan constants and mixing of random walks

International Mathematics Research Notices

Volumn 36, Issue , 2002, Pages 1891-1905

  Pak, Igor ^a   Żuk, Andrzej ^b,c  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^b UNITÉ DE MATHÉMATIQUES PURES ET APPLIQUÉES   (France)

^c UNIVERSITY OF CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036041153     PISSN: 10737928     EISSN: None     Source Type: Journal    
DOI: 10.1155/S1073792802206017     Document Type: Article

References (29)

1. Random walks on finite groups and rapidly mixing Markov chains
2. Minimal eigenvalue of the Coxeter Laplacian for the symmetric group
3. Exact values of Kazhdan constants for some finite groups
4. Kazhdan constants for SL(3, ℤ)
5. Generating random elements of a finite group
6. On the spectrum of the sum of generators for a finitely generated group
7. La propriété (T) de Kazhdan pour les groupes localement compacts
8. Group representations in probability and statistics
9. Comparison techniques for random walk on finite groups
10. Walks on generating sets of abelian groups
11. Walks on generating sets of groups
12. Dependance of Kazhdan constants on generating subsets
13. On problems related to growth, entropy, and spectrum in group theory
14. On the connection of the dual space of a group with the structure of its closed subgroups
15. Expanding graphs and invariant measures
16. The product replacement algorithm and Kazhdan's property (T)
17. Explicit constructions of expanders
18. Introduction to algebraic K-theory
19. The product replacement algorithm is polynomial
20. What do we know about the product replacement algorithm?
21. Lectures on finite Markov chains
22. Bounded generation and Kazhdan's property (T)
23. Explicit Kazhdan constants for representations of semisimple and arithmetic groups
24. Random walks on infinite graphs and groups
25. Property (T) and Kazhdan constants for discrete groups