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math.DS2020
Dynamical Borel-Cantelli lemma for recurrence theory
Mumtaz Hussain, Bing Li, David Simmons +1
We study the dynamical Borel-Cantelli lemma for recurrence sets in a measure preserving dynamical system with a compatible metric . We prove that, under some regular…
math.DS2018
Intersecting limit sets of Kleinian subgroups and Susskind's question
Tushar Das, David Simmons
We construct a non-elementary Fuchsian group that admits two non-elementary subgroups with trivial intersection and whose radial limit sets intersect non-trivially. This negatively…
math.DS2013★ 2 cited
Random Iteration of Rational Functions
David Simmons
It is a theorem of Denker and Urbański ('91) that if is a rational map of degree at least two and if is Hölder continuous and sa…