Bowen's Formula for Shift-Controlled Finite Conformal Constructions; MARIO ROY (Queens University, Canada) | Department of Mathematics
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Bowen's Formula for Shift-Controlled Finite Conformal Constructions; MARIO ROY (Queens University, Canada)

Event Information
Event Location: 
GAB 461, 2-3:30 PM
Event Date: 
Friday, February 24, 2012 - 2:00pm

Speaker: MARIO ROY (Queens University, Canada)

Title: Bowen's Formula for Shift-Controlled Finite Conformal Constructions

Abstract: Finite iterated functions systems (a.k.a. IFSs) have been extensively studied for more than 25 years now. Of central interest is their limit set and its Hausdorff dimension. Bowen's formula is a well known characterization of the Hausdorff dimension of the limit set. It states that the Hausdorff dimension of the limit set is the zero of the pressure of the system. We discuss the most general setting in which Bowen's Formula holds for constructions that are similar to IFSs.