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math.GTNov 28, 2012
6
citations (OpenAlex)
authors
  • Igor Rivin
arXiv abstractPDF
paper

Generic Phenomena in Groups -- Some Answers and Many Questions

arXiv:1211.6509

Abstract

We give a survey of some known results and of the many open questions in the study of generic phenomena in geometrically interesting groups.

Submitted to the MSRI Hot Topics "Thin Groups" proceedings

References in corpus (7)

  • Bounded cohomology of subgroups of mapping class groups
  • Random walks on the mapping class group
  • The virtual Haken conjecture: Experiments and examples
  • Arithmeticity of Certain Symplectic Hypergeometric Groups
  • Growth in free groups (and other stories)
  • Intrinsic geometry of convex ideal polyhedra in hyperbolic 3-space
  • Generic elements in Zariski-dense subgroups and isospectral locally symmetric spaces

Cited by in corpus (4)

  • Statistics of Random 3-Manifolds occasionally fibering over the circle
  • Algorithms for experimenting with Zariski dense subgroups
  • The twist-cofinite topology on the mapping class group of a surface
  • How to pick a random integer matrix? (and other questions)
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