Thin groups and superstrong approximation /

Bibliographic Details
Corporate Author: Mathematical Sciences Research Institute (Berkeley, Calif.)
Other Authors: Breuillard, Emmanuel, 1977- (Editor), Oh, Hee, 1969- (Editor)
Format: Book
Language:English
Published: Berkeley, CA : New York, NY : Mathematical Sciences Research Institute ; Cambridge University Press, 2014.
Series:Mathematical Sciences Research Institute publications ; 61.
Subjects:
Online Access:1850-9999
Table of Contents:
  • Some Diophantine applications of the theory of group expansion
  • A brief introduction to approximate groups
  • Superstrong approximation for monodromy groups
  • The ubiquity of thin groups
  • The orbital circle method
  • Sieves in discrete groups, expecially sparse
  • How random are word maps?
  • Constructing thin groups
  • Ergodic properties of the Burger-Roblin measure
  • Harmonic analysis, ergodic theory and counting for thin groups
  • Generic elements in Zariski-dense subgroups and isospectral locally symmetric spaces
  • Growth in linear groups
  • Strong approximation for algebraic groups
  • Generic phenomena in groups: some answers and many questions
  • Affine sieve and expanders
  • Notes on thin matrix groups.