The Hausdorff dimension of the set of dissipative points for a Cantor-like model set for singly cusped parabolic dynamics

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dc.creatorSchmeling, J.
dc.creatorStratmann, B. O.
dc.date2008-01-25
dc.date.accessioned2026-07-07T08:56:30Z
dc.date.available2026-07-07T08:56:30Z
dc.descriptionIn this paper we introduce and study a certain intricate Cantor-like set $C$ contained in unit interval. Our main result is to show that the set $C$ itself, as well as the set of dissipative points within $C$, both have Hausdorff dimension equal to 1. The proof uses the transience of a certain non-symmetric Cauchy-type random walk.
dc.identifierhttps://arxiv.org/abs/0801.3962
dc.identifierhttp://arxiv.org/abs/0801.3962
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146632
dc.subjectDynamical Systems
dc.subjectSpectral Theory
dc.subject60D05; 14L35; 51N30
dc.titleThe Hausdorff dimension of the set of dissipative points for a Cantor-like model set for singly cusped parabolic dynamics
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