18 citations · 52 across the 18 of their papers we have counts for
Showing 2006 · math.DSShow all
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math.DS2006★ 3 cited
Dimension and waiting time in rapidly mixing systems
S. Galatolo
We prove that if a system has superpolynomial (faster than any power law) decay of correlations then the time needed for a typical point to enter for the first…
math.DS2006★ 5 cited
The dynamical Borel-Cantelli lemma and the waiting time problems
Stefano Galatolo, Dong Han Kim
We investigate the connection between the dynamical Borel-Cantelli and waiting time results. We prove that if a system has the dynamical Borel-Cantelli property, then the time need…
math.DS2006★ 18 cited
The recurrence time for ergodic systems of infinite measures
Stefano Galatolo, Dong Han Kim, Kyewon Koh Park
We investigate quantitative recurrence in systems having an infinite measure. We extend the Ornstein-Weiss theorem for a general class of infinite systems estimating return time in…