Phase transitions in non-contracting Iterated Function Systems

Datum

15.12.2011

Zeit

14:50 - 15:50

Sprecher

Dr. Katrin Gelfert

Zugehörigkeit

Universidad Federal do Rio de Janeiro

Serie

TUD Mathematik AG Analysis & Stochastik

Sprache

en

Hauptthema

Mathematik

Andere Themen

Physik, Mathematik

Beschreibung

Iterated function systems (IFS) enable a convenient description of certain dynamical systems. I will in particular focus on dynamical systems on the interval. The need for a detailed understanding of such systems is apparent, as they appear in many building blocks of higher-dimensional dynamics. Very well understood are IFS's that are composed of contracting maps over a finite symbolic space. However, there exist various examples that lack uniform contraction properties and mix contracting and expanding behavior. In some interesting examples that are, in fact, derived from systems with unstable dimension variability (with heterodimensional cycles) we can observe some interesting phenomena such as the coexistence of invariant distributions maximizing free energgy.

Links

• Webseite der AG Analysis & Stochastik

Letztmalig verändert: 06.12.2011, 18:03:02