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Speaker:

Henk Bruin
Affiliation:

U Wien\MPI
Date:

Fri, 2014-06-20 14:00 - 15:00
Location:

MPIM Lecture Hall
Parent event:

Dynamics and Numbers Motivated by Bowen's theory of thermodynamic formalism of

subshifts of finite type, Hofbauer started to create symbolic models with

non-Hoelder potentials as simple examples exhibiting phase transitions.

Hofbauer's examples relate directly to the Pomeau-Manneville map, which

Baraviera-Leplaideur-Lopes related again to a particular

substitution-based renormalization operator. In this talk, I want to

report on joint work with Leplaideur how this scheme extends to

non-trivial substitutions (Thue-Morse and Fibonacci), and discuss the

importance and properties of the fixed points of the renormalization

operator, their stable leaves, and connections to renormalization theory

in one-dimensional dynamics.

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