CORDIS Project
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This project develops tools in ergodic theory and dynamical systems, focusing on large deviation theory for non-compact systems. It explores applications in mathematical physics, geometry, and number theory, particularly in understanding dynamics related to turbulent flows and measure rigidity in homogeneous systems.
The proposition aims to develop new tools in ergodic theory and dynamical systems, and explore applications to problems related to mathematical physics, geometry and arithmetics.
The first general objective is to advance large deviation theory for non-compact dynamical systems.
We plan to deduce new subexponential large deviation bounds for Gibbs measures on the countable Markov shift and explore how these results are linked to applications such as Pomeau-Manneville dynamics describing intermitt…
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