Nice Quasidisks and Prime Orbit Counting
Adventurous Berkeley Complex Dynamics May 02, 2022 - May 06, 2022
Location: SLMath: Eisenbud 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.
Nice Quasidisks And Prime Orbit Counting
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