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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:




Publications of the PI:
Thermodynamic formalism for dispersing billiards (with M. Demers) (2020) arXiv and Hal, submitted
There are no deviations for the ergodic averages of the Giulietti--Liverani horocycle flows on the two-torus, ETDS online (2021) DOI: https://doi.org/10.1017/etds.2021.17
On the measure of maximal entropy for finite horizon Sinai billiard maps (with M. Demers) JAMS 33 381-449 (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), DCDS (2021) doi:10.3934/dcds.2021133
Fractional susceptibility functions for the quadratic family: Misiurewicz-Thurston parameters (with D Smania), Comm. Math. Phys. 385 1957-2007 (2021) https://doi.org/10.1007/s00220-021-04015-z
Horocycle averages on closed manifolds and transfer operators (with A. Adam), arXiv and Hal, submitted, 2021

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 25, 2021-March 26, 2021: Dynamics, Transfer Operators, and Spectra, Semester at Centre Interfacultaire Bernoulli, Ecole Polytechnique Fédérale de Lausanne (Co-organised) Semester page
  • February 19-April 16, 2021: Ruelle-Pollicott Resonances in dynamics and semiclassical analysis, - Friday 10:00-12:00 - BigBlueButton
  • September 20, 2021-March 28, 2022: Working group, - Monday 14:00-16:00

    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 (online)
  • June 7, 11, 2021: Mittag-Leffler, Sweden, New frontiers in dimension theory of dynamical systems - Applications in metric number theory (online)
  • June 21-25, 2021 Ecole d'été finistérienne en systèmes dynamiques
  • July 11-18, 2021, Oberwolfach, Dynamische Systeme
  • August 1-3, 2021: ICMP, Geneva
  • Nov 8-10, 2021, Nantes, Meeting G Rivière
  • February 11, 2022, "One World Dynamics" seminar (session on multiscale dynamics) online
  • March 7-11, 2022, Roscoff? (TBC)
  • June 6-10, 2022: Limit Theorems for Slowly Mixing Systems, Edinburgh
  • July 5-9, 2022, "Global and local aspects in dynamical systems: From Exponentially small phenomena to Instability" (GLADS21), Barcelona
  • Oct 3-7, 2022: Luminy CIRM, Probabilistic techniques for random and time-dependent dynamical systems
  • July 2023 (TBC), Summer school CRM Barcelona (School on Interaction between Dynamical Systems and Partial Differential Equations JISD20213)
  • Viviane Baladi