Smooth dynamics via Operators, with Singularities

Project Information

SOS

Grant agreement ID: 787304

DOI

10.3030/787304

Project closed

EC signature date 2 May 2018

Start date 1 September 2018

End date 31 December 2023

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 830 070,00

EU contribution

€ 1 830 070,00

Coordinated by

CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
France

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Peer reviewed articles (37)

Sunklodas’ Approach to Normal Approximation for Time-Dependent Dynamical Systems

Author(s): Juho Leppänen, Mikko Stenlund
Published in: Journal of Statistical Physics, Issue 181/5, 2020, Page(s) 1523-1564, ISSN 0022-4715
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10955-020-02636-7

Conditional mixing in deterministic chaos

Author(s): Caroline Wormell
Published in: Ergodic Theory and Dynamical Systems, 2023, ISSN 0143-3857
Publisher: Cambridge University Press
DOI: 10.1017/etds.2023.55

There are no deviations for the ergodic averages of Giulietti–Liverani horocycle flows on the two-torus

Author(s): VIVIANE BALADI
Published in: Ergodic Theory and Dynamical Systems, 2021, Page(s) 1-14, ISSN 0143-3857
Publisher: Cambridge University Press
DOI: 10.1017/etds.2021.17

Regularity of Characteristic Exponents and Linear Response for Transfer Operator Cocycles

Author(s): Julien Sedro, Hans Henrik Rugh
Published in: Communications in Mathematical Physics, Issue 383/2, 2021, Page(s) 1243-1289, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-021-04019-9

Measure of maximal entropy for finite horizon Sinai billiard flows

Author(s): Baladi, Viviane; Carrand, Jérôme; Demers, Mark
Published in: Annales Henri Lebesgue, 2024, ISSN 2644-9463
Publisher: École Normale Supérieure de Rennes (ENS Rennes)
DOI: 10.48550/arxiv.2209.00982

A vector-valued almost sure invariance principle for random expanding on average cocycles

Author(s): D. Dragičević; Y. Hafouta; J. Sedro
Published in: Journal of Statistical Physics, Issue 5, 2023, ISSN 0022-4715
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10955-023-03067-w

Quenched Linear Response for Smooth Expanding on Average Cocycles

Author(s): Davor Dragičević; Paolo Giulietti; Julien Sedro
Published in: Communications in Mathematical Physics, 2022, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-022-04560-1

Quenched limit theorems for expanding on average cocycles

Author(s): Davor Dragičević; Julien Sedro
Published in: Stochastics and Dynamics, 2023, ISSN 0219-4937
Publisher: World Scientific Publishing Co
DOI: 10.1142/s0219493723500466

Synchronization for Networks of Globally Coupled Maps in the Thermodynamic Limit

Author(s): Fanni M. Sélley, Matteo Tanzi
Published in: Journal of Statistical Physics, 2022, ISSN 0022-4715
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10955-022-02968-6

Thermodynamic formalism for dispersing billiards

Author(s): Baladi, Viviane; Demers, Mark
Published in: Journal of Modern Dynamics, Issue 9, 2022, ISSN 1930-5311
Publisher: American Institute of Mathematical Sciences
DOI: 10.3934/jmd.2022013

Global Trace Formula for Ultra-Differentiable Anosov Flows

Author(s): Malo Jézéquel
Published in: Communications in Mathematical Physics, 2021, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-020-03930-x

Statistical stability and linear response for random hyperbolic dynamics

Author(s): Julien Sedro; Davor Dragicevic
Published in: "Ergodic Theory and Dynamical Systems, Cambridge University Press (CUP), In press, ⟨10.1017/etds.2021.153⟩", Issue 1, 2023, ISSN 0143-3857
Publisher: Cambridge University Press
DOI: 10.1017/etds.2021.153

Smooth Generalized Interval Exchange Transformations with Wandering Intervals, from explicit Derived from pseudo-Anosov maps

Author(s): Jérôme Carrand
Published in: Nonlinearity, Issue 3, 2023, ISSN 0951-7715
Publisher: Institute of Physics Publishing
DOI: 10.48550/arxiv.2104.11625

Linear Response for a Family of Self-consistent Transfer Operators

Author(s): Sélley, F.M., Tanzi, M.
Published in: Commun. Math. Phys., Issue 382, 2021, Page(s) 1601–1624, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-021-03983-6

Thermodynamic formalism for piecewise expanding maps in finite dimension

Author(s): Baladi, Viviane; Castorrini, Roberto
Published in: Discrete and Continuous Dynamical Systems, 2024, ISSN 1078-0947
Publisher: Dept. of Mathematics, Southwest Missouri State University
DOI: 10.48550/arxiv.2304.05910

Fractional Susceptibility Functions for the Quadratic Family: Misiurewicz–Thurston Parameters

Author(s): Viviane Baladi, Daniel Smania
Published in: Communications in Mathematical Physics, 2021, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-021-04015-z

Pre-threshold fractional susceptibility functions at Misiurewicz parameters

Author(s): Julien Sedro
Published in: "Nonlinearity, IOP Publishing, 2021, ⟨10.1088/1361-6544/ac20a3⟩", Issue 5, 2021, ISSN 0951-7715
Publisher: Institute of Physics Publishing
DOI: 10.48550/arxiv.2011.13648

Scattering rigidity for analytic metrics

Author(s): Yannick Guedes Bonthonneau; Colin Guillarmou; Malo Jézéquel
Published in: Cambridge Journal of Mathematics, 2024, ISSN 2168-0930
Publisher: International Pressof Boston
DOI: 10.48550/arxiv.2201.02100

Rigorous justification for the space-split sensitivity algorithm to compute linear response in Anosov systems

Author(s): Nisha Chandramoorthy; Malo Jézéquel
Published in: Nonlinearity, Issue 1, 2022, ISSN 0951-7715
Publisher: Institute of Physics Publishing
DOI: 10.48550/arxiv.2109.02750

Loss of Memory and Moment Bounds for Nonstationary Intermittent Dynamical Systems

Author(s): A. Korepanov, J. Leppänen
Published in: Communications in Mathematical Physics, 2021, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-021-04071-5

Local and global trace formulae for smooth hyperbolic diffeomorphisms

Author(s): Malo Jézéquel
Published in: Journal of Spectral Theory, Issue 10/1, 2020, Page(s) 185-249, ISSN 1664-0403
Publisher: European Mathematical Society
DOI: 10.4171/jst/290

Central limit theorems with a rate of convergence for time-dependent intermittent maps

Author(s): Olli Hella, Juho Leppänen
Published in: Stochastics and Dynamics, Issue 2019, 2019, Page(s) 2050025, ISSN 0219-4937
Publisher: World Scientific Publishing Co
DOI: 10.1142/S0219493720500252

Arnold Maps with Noise: Differentiability and Non-monotonicity of the Rotation Number

Author(s): L. Marangio, J. Sedro, S. Galatolo, A. Di Garbo, M. Ghil
Published in: Journal of Statistical Physics, 2019, ISSN 0022-4715
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10955-019-02421-1

Quadratic response of random and deterministic dynamical systems

Author(s): Stefano Galatolo, Julien Sedro
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science, Issue 30/2, 2020, Page(s) 023113, ISSN 1054-1500
Publisher: American Institute of Physics
DOI: 10.1063/1.5122658

On the measure of maximal entropy for finite horizon Sinai Billiard maps

Author(s): Viviane Baladi, Mark F. Demers
Published in: Journal of the American Mathematical Society, Issue 33/2, 2020, Page(s) 381-449, ISSN 0894-0347
Publisher: American Mathematical Society
DOI: 10.1090/jams/939

Rates of mixing for the measure of maximal entropy of dispersing billiard maps

Author(s): Demers, Mark F.; Korepanov, Alexey
Published in: Proc. London Math. Soc., 2024, ISSN 0024-6115
Publisher: Oxford University Press
DOI: 10.1112/plms.12578

Map Lattices Coupled by Collisions: Hitting Time Statistics and Collisions Per Lattice Unit

Author(s): Wael Bahsoun; Fanni M. Sélley
Published in: Annales Henri Poincaré, Issue 3, 2022, ISSN 1424-0637
Publisher: Birkhauser Verlag
DOI: 10.1007/s00023-022-01164-2

Transfer operators for ultradifferentiable expanding maps of the circle

Author(s): Malo Jézéquel
Published in: Ergodic Theory and Dynamical Systems, 2020, ISSN 0143-3857
Publisher: Cambridge University Press
DOI: 10.1017/etds.2020.36

Conditioning problems for invariant sets of expanding piecewise affine mappings: application to loss of ergodicity in globally coupled maps

Author(s): Bastien Fernandez; Fanni M Sélley
Published in: Nonlinearity, Issue 4, 2022, ISSN 0951-7715
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6544/ac640f

FBI Transform in Gevrey Classes and Anosov Flows

Author(s): Yannick Guedes Bonthonneau, Malo Jézéquel
Published in: Astérisque, 2025, ISSN 0303-1179
Publisher: Societe Mathematique de France

Logarithmic Bounds for Ergodic Sums of Certain Flows on the Torus: a Short Proof

Author(s): Jérôme Carrand
Published in: Qualitative Theory of Dynamical Systems, Issue 3, 2022, ISSN 1575-5460
Publisher: Springer Verlag
DOI: 10.1007/s12346-022-00632-8

Non-hyperbolicity at large scales of a high-dimensional chaotic system

Author(s): Caroline L. Wormell
Published in: Proceedings of the Royal Society A, Issue 5, 2022, ISSN 1471-2946
Publisher: Royal Society
DOI: 10.1098/rspa.2021.0808

Quantitative statistical properties of two-dimensional partially hyperbolic systems

Author(s): Castorrini, Roberto; Liverani, Carlangelo
Published in: Advances in Mathematics, Issue 3, 2022, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.48550/arxiv.2007.05602

Semiclassical Measures for Higher-Dimensional Quantum Cat Maps

Author(s): Semyon Dyatlov; Malo Jézéquel
Published in: Annales Henri Poincaré, 2023, ISSN 1424-0637
Publisher: Birkhauser Verlag
DOI: 10.1007/s00023-023-01309-x

A self-consistent dynamical system with multiple absolutely continuous invariant measures

Author(s): Fanni M. Sélley
Published in: Journal of Computational Dynamics, Issue 8/1, 2021, Page(s) 9-32, ISSN 2158-2505
Publisher: American Institute of Mathematical Sciences
DOI: 10.3934/jcd.2021002

On the fractional susceptibility function of piecewise expanding maps

Author(s): Magnus Aspenberg; Viviane Baladi; Juho Leppänen; Tomas Persson
Published in: ISSN: 1078-0947, Issue 5, 2022, ISSN 1078-0947
Publisher: Dept. of Mathematics, Southwest Missouri State University
DOI: 10.48550/arxiv.1910.00369

Horocycle averages on closed manifolds and transfer operators

Author(s): Adam, Alexander; Baladi, Viviane
Published in: Tunisian Joural of Mathematics, Issue 4, 2022, ISSN 2576-7658
Publisher: MSP
DOI: 10.2140/tunis.2022.4.387