Hitting time and dimension in Axiom A systems and generic interval excanges

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dc.creatorGalatolo, Stefano
dc.date2005-06-24
dc.date.accessioned2026-07-07T05:21:09Z
dc.date.available2026-07-07T05:21:09Z
dc.descriptionIn this note we prove that for equilibrium states of axiom A systems the time $τ_{B}(x)$ needed for a typical point $x$ to enter for the first time in a typical ball $B$ with radius $r$ scales as $τ_{B}(x)\sim r^{d}$ where $d$ is the local dimension of the invariant measure at the center of the ball. A similar relation is proved for a full measure set of interval excanges. Some applications to Birkoff averages of unbounded (and not $L^{1}$) functions are shown.
dc.identifierhttps://arxiv.org/abs/math/0506516
dc.identifierhttp://arxiv.org/abs/math/0506516
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75586
dc.subjectDynamical Systems
dc.subjectMathematical Physics
dc.subject37B20;37C45;37D20
dc.titleHitting time and dimension in Axiom A systems and generic interval excanges
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