Objective 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. Fields of science natural sciencesmathematicsapplied mathematicsmathematical physicsnatural sciencesmathematicspure mathematicsmathematical analysisfourier analysisnatural sciencesmathematicsapplied mathematicsdynamical systemsnatural sciencesmathematicspure mathematicsarithmeticsnatural sciencesmathematicsapplied mathematicsstatistics and probability 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 Topic(s) MSCA-IF-2014-EF - Marie Skłodowska-Curie Individual Fellowships (IF-EF) Call for proposal H2020-MSCA-IF-2014 See other projects for this call Funding Scheme MSCA-IF-EF-ST - Standard EF Coordinator UNIVERSITY OF BRISTOL Net EU contribution € 183 454,80 Address Beacon house queens road BS8 1QU Bristol United Kingdom See on map Region South West (England) Gloucestershire, Wiltshire and Bristol/Bath area Bristol, City of Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Other funding € 0,00
