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LDMRD

Large Deviations and Measure Rigidity in Dynamics

Total Cost €

EC-Contrib. €

Partnership

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Outcomes and
results

LDMRD project word cloud

Explore the words cloud of the LDMRD project. It provides you a very rough idea of what is the project "LDMRD" about.

approximation first plan host rigidity quantum classification deviation diophantine countable flow geometry turbulent ller describing uuml translation surfaces proposition markov ongoing connected dynamics subexponential explore homogeneous theory deduce shift mathematical bounds toral ergodic manneville physics teichm tools automorphisms arithmetics map intermittence linked compact relates theorems gibbs dynamical ergodicity flows gauss pomeau deeply influential

Project "LDMRD" data sheet

The following table provides information about the project.

Coordinator	UNIVERSITY OF BRISTOL Organization address address: BEACON HOUSE QUEENS ROAD city: BRISTOL postcode: BS8 1QU website: www.bristol.ac.uk contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.
Coordinator Country	United Kingdom [UK]
Project website	http://sahlsten.org/LDMRD.html
Total cost	183˙454 €
EC max contribution	183˙454 € (100%)
Programme	1. H2020-EU.1.3.2. (Nurturing excellence by means of cross-border and cross-sector mobility)
Code Call	H2020-MSCA-IF-2014
Funding Scheme	MSCA-IF-EF-ST
Starting year	2015
Duration (year-month-day)	from 2015-09-01 to 2017-08-31

Partnership

Take a look of project's partnership.

#	participants	country	role	EC contrib. [€]
1	UNIVERSITY OF BRISTOL UNIVERSITY OF BRISTOL Organization address address: BEACON HOUSE QUEENS ROAD city: BRISTOL postcode: BS8 1QU website: www.bristol.ac.uk contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	UK (BRISTOL)	coordinator	183˙454.00

Map

Project 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.

Publications

List of publications.
year	authors and title	journal	last update
2017	Etienne Le Masson, Tuomas Sahlsten Quantum ergodicity and Benjamini-Schramm convergence of hyperbolic surfaces published pages: , ISSN: 0012-7094, DOI:	Duke Mathematical Journal	2019-07-22

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