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math.DS2025
Recurrence to rare events for all points in countable Markov shifts
Dylan Bansard-Tresse
We study quantitative recurrence to rare events in Countable Markov Shifts with recurrent potentials, focusing on return-time statistics to natural target sets for every point. In…
math.DS2024
The fractional Poisson process and other limit point processes for rare events in infinite ergodic theory
Dylan Bansard-Tresse
We study the process of suitably normalized successive return times to rare events in the setting of infinite-measure preserving dynamical systems. Specifically, we consider small…
math.DS2023★ 1 cited
Inducing techniques for quantitative recurrence and applications to Misiurewicz maps and doubly intermittent maps
Dylan Bansard-Tresse, Jorge Milhazes Freitas
We prove an abstract result establishing that one can obtain the convergence of Rare Events Point Processes counting the number of orbital visits to a sequence of shrinking target…