On the uniform distribution of orbits of finitely generated groups and semigroups of plane isometries uri icon

abstract

  • Actions by isometries on a Euclidean plane of free groups and free semigroups with arbitrarily many generators and of free products of groups of order 2 are considered. It is shown that, in the typical case, all orbits of the action are uniformly distributed in the plane. The actions for which the distribution of orbits fails to be uniform are explicitly described.

published proceedings

  • Sbornik Mathematics

author list (cited authors)

  • Vorobets, Y. B.

citation count

  • 1

complete list of authors

  • Vorobets, Ya B

publication date

  • January 2004