5 citations · 11 across the 15 of their papers we have counts for
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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…
math.DS2016
Escaping sets of continuous functions
Ian Short, David J. Sixsmith
Our objective is to determine which subsets of arise as escaping sets of continuous functions from to itself. We obtain partial answers to this proble…