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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.MG2009
Rigidity of configurations of balls and points in the -sphere
Edward Crane, Ian Short
We answer two questions of Beardon and Minda that arose from their study of the conformal symmetries of circular regions in the complex plane. We show that a configuration of close…