Mats Bylund: Critical recurrence in the real quadratic family

Date: 2023-01-31

Time: 15:00 - 16:00

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Mats Bylund, Lund Univsity


The (real) quadratic family is one of the most well-studied families of dynamical systems, and has served as a representative model of chaotic dynamics for the last three decades. By works of Jakobson and Benedicks–Carleson, and later by Graczyk–Swiatek and Lyubich (to name only a fraction of names), this family of dynamical systems is now very well understood. In this talk I will discuss recurrence, and present a result which completes earlier estimates by Avila–Moreira regarding the rate of recurrence for the critical point to itself for typical non-regular (stochastic, Collet–Eckmann) real quadratic maps.