Dynamics, Transfer Operators, and Spectra

The transfer operator is one of the basic tools of ergodic theory of smooth “chaotic” dynamics. Its discrete spectrum gives rise to the Ruelle-Pollicott resonances, which embody fundamental statistical properties of the dynamics.

This semester-long program brings together three communities who share an interest in transfer operator methods (also in the presence of singularities): mathematicians from dynamical systems or probability, mathematicians from semi-classical analysis, and physicists and applied mathematicians in fluid dynamics, ocean/atmosphere dynamics and non-equilibrium statistical mechanics. It includes a school (addressed mostly to PhD students and young postdocs) as well as three workshops.

This project has also received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 787304).

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Wael Bahsoun, Loughborough University
Viviane Baladi, CNRS and Sorbonne University
Mark Demers, Fairfield University
Carlangelo Liverani, University of Roma Tor Vergata