Objectif 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 intermittence in the theory of turbulent flows, dynamical properties of the Gauss map, which is deeply connected to Diophantine approximation, and homogeneous dynamics such as the Teichmüller flow on translation surfaces. The second general objective is to investigate Host-type measure rigidity theory for toral automorphisms and homogeneous dynamics. This topic relates to currently ongoing research on measure classification theorems, which have been influential in several applications such Diophantine approximation and quantum ergodicity. Champ scientifique natural sciencesmathematicsapplied mathematicsmathematical physicsnatural sciencesmathematicspure mathematicsmathematical analysisfourier analysisnatural sciencesmathematicsapplied mathematicsdynamical systemsnatural sciencesmathematicspure mathematicsarithmeticsnatural sciencesmathematicspure mathematicsgeometry Programme(s) H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions Main Programme H2020-EU.1.3.2. - Nurturing excellence by means of cross-border and cross-sector mobility Thème(s) MSCA-IF-2014-EF - Marie Skłodowska-Curie Individual Fellowships (IF-EF) Appel à propositions H2020-MSCA-IF-2014 Voir d’autres projets de cet appel Régime de financement MSCA-IF-EF-ST - Standard EF Coordinateur UNIVERSITY OF BRISTOL Contribution nette de l'UE € 183 454,80 Adresse BEACON HOUSE QUEENS ROAD BS8 1QU Bristol Royaume-Uni Voir sur la carte Région South West (England) Gloucestershire, Wiltshire and Bristol/Bath area Bristol, City of Type d’activité Higher or Secondary Education Establishments Liens Contacter l’organisation Opens in new window Site web Opens in new window Participation aux programmes de R&I de l'UE Opens in new window Réseau de collaboration HORIZON Opens in new window Coût total € 183 454,80