Lucas Kaufmann, Université d'Orléans: Equidistribution speed of periodic points in polynomial dynamics
Overview
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- Date:Starts 18 February 2025, 11:00Ends 18 February 2025, 11:45
- Location:MV:L14, Chalmers tvärgata 3
- Language:English
Abstract: Let f: ℂ→ℂ be a polynomial map of degree d≥2. We show that periodic points of f of period n equidistribute towards the equilibrium measure of f exponentially fast as n tends to infinity. This quantifies theorem of Lyubich. The proof uses pluripotential theory and the theory of positive closed currents. This is a joint work with T.-C. Dinh.
Lars Martin Sektnan
- Senior Lecturer, Algebra and Geometry, Mathematical Sciences