CORDIS Project
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The project explores the dynamics of smooth dynamical systems with singularities using advanced mathematical tools. It aims to develop a thermodynamic framework for understanding complex behaviors in systems like billiard flows, contributing to the field of dynamical systems.
The ergodic theory of smooth dynamical systems enjoying some form of hyperbolicity has undergone important progress since the beginning of the twenty first century, in part due to the development of a new technical tool: anisotropic Banach or Hilbert spaces, on which transfer operators have good spectral properties.
Very recently, such tools have yielded exponential mixing for dispersing (Sinai) billiard flows (i.e. the 2D periodic Lorentz gas), which are the archetypal smooth systems with singu…
CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
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