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Nice Quasidisks and Prime Orbit Counting

Adventurous Berkeley Complex Dynamics May 02, 2022 - May 06, 2022

May 05, 2022 (11:00 AM PDT - 12:00 PM PDT)
Speaker(s): Juan Rivera-Letelier (University of Rochester)
Location: MSRI: Simons Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC

Nice Quasidisks And Prime Orbit Counting


For a complex rational map, a nice set is somewhat analogous to a Yoccoz puzzle for polynomials. For a non-uniformly hyperbolic map, we show how to construct nice sets that are quasidisks. These are used to establish a prime orbit theorem with a power savings error term.
This is a joint work with Zhiqiang Li.

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Nice Quasidisks And Prime Orbit Counting

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