Phase transitions on one-dimensional symbolic systems
By Tamara Kucherenko
Approximating entropy/pressure for multidimensional shifts of finite type
By Ronnie Pavlov
Appears in collection : Advancing Bridges in Complex Dynamics / Avancer les connections dans la dynamique complexe
In this talk we study real analytic bi-cubic circle maps with bounded type rotation number. We define a suitable functional space where the renormalization operator is analytic, and we construct a hyperbolic attractor of renormalization with codimension-two stable foliation. This is joint work with Michael Yampolsky.