Millican Colloquium: Thermodynamic formalism for transient dynamics on the real line--Johannes Jaerisch (Shimane University, Japan) | Department of Mathematics

Millican Colloquium: Thermodynamic formalism for transient dynamics on the real line--Johannes Jaerisch (Shimane University, Japan)

Event Information
Event Location: 
GAB 461 (Refreshments at 3:30 in 472)
Event Date: 
Monday, September 24, 2018 - 4:00pm

We develop the thermodynamic formalism for skew-periodic Z-extensions of expanding interval maps. Our formalism allows us to perform a dimensional analysis of the recurrent dynamics, as well as the transient dynamics with prescribed escape rate. We obtain explicit formulae for dimension gaps caused by transience. We also discuss the relation to Z-extensions of Kleinian groups. This is a joint work with Maik Groeger (Univ. Vienna) and Marc Kesseboehmer (Univ. Bremen).

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