5 citations · 5 across the 2 of their papers we have counts for
2 papers
math.DS2016
Repeated compositions of Moebius transformations
Matthew Jacques, Ian Short
This paper considers a class of dynamical systems generated by finite sets of Moebius transformations acting on the unit disc. Compositions of such Moebius transformations give ris…
math.MG2016★ 5 cited
Semigroups of isometries of the hyperbolic plane
Matthew Jacques, Ian Short
Motivated by a problem on the dynamics of compositions of plane hyperbolic isometries, we prove several fundamental results on semigroups of isometries, thought of as real Möbius t…