Smooth dynamics via Operators, with Singularities
ERC AdG SOS (September 2018-February 2024, 66 months)
Transfer operators applied to hyperbolic systems
with low regularity including billiards
(rates of mixing, linear or fractional response Ruelle resonances, susceptibility function etc.)
This project has received funding from the European Research Council (ERC) under
the European Union's Horizon 2020 research and innovation programme (grant
agreement No 787304)
Previous job openings here
The Research Group:
Viviane BALADI (PI)
Postdocs:
-
Juho LEPPÄNEN
Oct 2018-January 2020
Central limit theorems with a rate of convergence for time-dependent
intermittent maps (with Olli Hella) Stochastics and Dynamics,
doi.org/10.1142/S0219493720500215
Sunklodas' approach to normal approximation for time-dependent
dynamical systems (with Mikko Stenlund) submitted
On the fractional susceptibility function of piecewise expanding maps,
(with M. Aspenberg, J. Leppänen, T. Persson), submitted
Loss of memory and moment bounds for
nonstationary intermittent dynamical systems,
(with A. Korepanov)
-
Fanni SELLEY,
16-26/129 (in the nook 16-26/117-127)
Oct 2019-Sep 2021
A self-consistent dynamical system with multiple absolutely
continuous invariant measures, to appear J. Comput. Dynam.
Linear Response for a Family of Self-Consistent Transfer Operators,
(with Matteo Tanzi), submitted
Conditioning problems for invariant sets of expanding piecewise affine
mappings: Application to loss of ergodicity in globally coupled maps,
(with B. Fernandez)
-
Julien SEDRO, 16-26/129 (in the nook 16-26/117-127)
Oct 2019-Sep 2021
Arnold maps with noise: Differentiability and non-monotonicity of the rotation number
(with S. Galatolo, A. Di Garbo, M. Ghil) to appear J Stat Phys,
DOI:10.1007/s10955-019-02421-1
Quadratic response of random and deterministic dynamical systems
(with Stefano Galatolo), Chaos 30, 023113 (2020);
DOI:10.1063/1.5122658
Regularity of characteristic exponents and linear response
for transfer operator cocycles
(with H.H. Rugh), submitted
Statistical stability and linear response for random hyperbolic dynamics
(with D. Dragicevic), arXiv 2020, submitted
- Caroline WORMELL
Dec 2020-Nov 2022
- Roberto CASTORRINI
Dec 2020-Nov 2021 and Dec 2021-Nov 2022
- Jungwon LEE
External funding, 16-26/129 (in the nook 16-26/117-127)
Sep 29, 2019 - Dec 1, 2019/Dec 13, 2019/ Jan 17, 2010 - Feb 14, 2020
/March 2020-Aug 2021
Publications of the PI:
Thermodynamic formalism for dispersing billiards
(with M. Demers)
(2020) arXiv and Hal
There are no deviations for the ergodic averages of the Giulietti--Liverani horocycle flows
on the two-torus, to appear ETDS
On the measure of maximal
entropy for finite horizon Sinai billiard maps
(with M. Demers) arxiv, JAMS (2020),
DOI: https://doi.org/10.1090/jams/939
On the fractional susceptibility function of piecewise expanding maps,
(with M. Aspenberg, J. Leppänen, T. Persson), submitted
Fractional susceptibility functions for the quadratic family: Misiurewicz-Thurston parameters
(with D Smania),
(2020), submitted
Visitors:
Daniel SMANIA (November-December 2018). Talk November 30, 14:00, Dynamics seminar in Jussieu.
"Transfer operators and atomic decomposition"
Alexander ADAM,
Oscar BANDTLOW,
Carlangelo LIVERANI,
Frédéric NAUD,
Mark POLLICOTT, Barbara SCHAPIRA (December 2018, Several talks at Journées dynamiques, Sophie Germain, Dec 6-8, 2018).
Alexey KOREPANOV, March 30-April 3, 2019 (Ergodic theory seminar April 2)
Thomas OHLSON TIMOUDAS, week of June 17, 2019 (Ergodic theory seminar June 18, 2019)
Mike TODD, week of June 24, 2019. (Ergodic theory seminar June 25, 2019)
Daniel SMANIA, Alexei KOREPANOV, Mike TODD,
Benoit SAUSSOl, J WOUTERS, Caroline WORMELL, Dima DOLGOPYAT: Oct 13-18, 2019 (Workshop at IhP)
Anke POHL, November 4-7, 2019. (Seminar Topology and Geometries, Nov 7, 2019)
Events (co-)organised:
Dec 6-8, 2018, Journées de dynamique, Paris
(Co-organised)
Oct 14-16, 2019,
Workshop on Response Theory and Its Applications in Geophysical Fluid Dynamics, (coorganised with Bahsoun, Galatolo, and Lucarini) IHP,
CliMath
January 4, 2021-June 30, 2021: Dynamics, Transfer Operators, and Spectra,
Semester at
Centre Interfacultaire Bernoulli,
Ecole Polytechnique Fédérale de Lausanne
(Co-organised) Semester page
Timeline:
September 3-5, 2018,
Dynamics Days Europe, Loughborough
Oct 29-Nov 2, 2018,
Probabilistic limit theorems for dynamical systems,
CIRM Luminy
Dec 6-8, 2018, Journées de dynamique, Paris
(Co-organised)
Jan 28, 2019:
Seminar, Rennes
Feb 5-8, 2019: Roma Tor Vergata,
Workshop
"Dynamical Systems: From Geometry to Mechanics"
March 26, 2019, Amiens Journée dynamique
April 6 -May 1, 2019: Sao Carlos, USP, Brazil
(visiting D. Smania)
May 12-18, 2019: Luminy,
Beyond Hyperbolicity
June 9-15, 2019: Oberwolfach Seminar,
Anisotropic Spaces and Applications to Hyperbolic and Parabolic Dynamical Systems, MFO
July 1-5, 2019:
Thermodynamic Formalism: Modern Techniques in Smooth Ergodic Theory ,
CIRM, Luminy
July 7-11, 2019: Oberwolfach, Dynamische Systeme
July 22-26, 2019,
Thermodynamic Formalism: Ergodic Theory and Geometry Warwick
September 16-20, 2019, Kraków,
Dynamics, Equations and Applications (DEA 2019)
Oct 14-16, 2019,
Workshop on Response Theory and Its Applications in Geophysical Fluid Dynamics,
(coorganised with Bahsoun, Galatolo, and Lucarini) IHP,
CliMath
Dec 2-6, 2019 Low-dimensional
and Complex Dynamics, CIB-EPFL Lausanne.
Jan 20-23, 2020,
Statistical aspects of geodesic flows in nonpositive curvature,
Warwick
Feb 2-7, 2020,
Transfer operators in number theory and quantum chaos - HIM Bonn
March 8-15, 2020, University of Vienna, Austria
January 10, 2021-June 30, 2021: Dynamics, Transfer Operators, and Spectra,
Semester at
Centre Interfacultaire Bernoulli,
Ecole Polytechnique Fédérale de Lausanne
(3-4 months in Lausanne)
June 7-10, 2021: Geneva, JPE 77
June 28-July 2, 2021, minicourse at JISD 2021, CRM, Barcelona
July 11-18, 2021, Oberwolfach, Dynamische Systeme
August 2-7, 2021: ICMP, Geneva
Viviane Baladi