Smooth dynamics via Operators, with Singularities

Publicaciones

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

Autores: Juho Leppänen, Mikko Stenlund
Publicado en: Journal of Statistical Physics, Edición 181/5, 2020, Página(s) 1523-1564, ISSN 0022-4715
Editor: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10955-020-02636-7

Conditional mixing in deterministic chaos

Autores: Caroline Wormell
Publicado en: Ergodic Theory and Dynamical Systems, 2023, ISSN 0143-3857
Editor: 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

Autores: VIVIANE BALADI
Publicado en: Ergodic Theory and Dynamical Systems, 2021, Página(s) 1-14, ISSN 0143-3857
Editor: Cambridge University Press
DOI: 10.1017/etds.2021.17

Regularity of Characteristic Exponents and Linear Response for Transfer Operator Cocycles

Autores: Julien Sedro, Hans Henrik Rugh
Publicado en: Communications in Mathematical Physics, Edición 383/2, 2021, Página(s) 1243-1289, ISSN 0010-3616
Editor: Springer Verlag
DOI: 10.1007/s00220-021-04019-9

Measure of maximal entropy for finite horizon Sinai billiard flows

Autores: Baladi, Viviane; Carrand, Jérôme; Demers, Mark
Publicado en: Annales Henri Lebesgue, 2024, ISSN 2644-9463
Editor: 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

Autores: D. Dragičević; Y. Hafouta; J. Sedro
Publicado en: Journal of Statistical Physics, Edición 5, 2023, ISSN 0022-4715
Editor: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10955-023-03067-w

Quenched Linear Response for Smooth Expanding on Average Cocycles

Autores: Davor Dragičević; Paolo Giulietti; Julien Sedro
Publicado en: Communications in Mathematical Physics, 2022, ISSN 0010-3616
Editor: Springer Verlag
DOI: 10.1007/s00220-022-04560-1

Quenched limit theorems for expanding on average cocycles

Autores: Davor Dragičević; Julien Sedro
Publicado en: Stochastics and Dynamics, 2023, ISSN 0219-4937
Editor: World Scientific Publishing Co
DOI: 10.1142/s0219493723500466

Synchronization for Networks of Globally Coupled Maps in the Thermodynamic Limit

Autores: Fanni M. Sélley, Matteo Tanzi
Publicado en: Journal of Statistical Physics, 2022, ISSN 0022-4715
Editor: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10955-022-02968-6

Thermodynamic formalism for dispersing billiards

Autores: Baladi, Viviane; Demers, Mark
Publicado en: Journal of Modern Dynamics, Edición 9, 2022, ISSN 1930-5311
Editor: American Institute of Mathematical Sciences
DOI: 10.3934/jmd.2022013

Global Trace Formula for Ultra-Differentiable Anosov Flows

Autores: Malo Jézéquel
Publicado en: Communications in Mathematical Physics, 2021, ISSN 0010-3616
Editor: Springer Verlag
DOI: 10.1007/s00220-020-03930-x

Statistical stability and linear response for random hyperbolic dynamics

Autores: Julien Sedro; Davor Dragicevic
Publicado en: "Ergodic Theory and Dynamical Systems, Cambridge University Press (CUP), In press, ⟨10.1017/etds.2021.153⟩", Edición 1, 2023, ISSN 0143-3857
Editor: Cambridge University Press
DOI: 10.1017/etds.2021.153

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

Autores: Jérôme Carrand
Publicado en: Nonlinearity, Edición 3, 2023, ISSN 0951-7715
Editor: Institute of Physics Publishing
DOI: 10.48550/arxiv.2104.11625

Linear Response for a Family of Self-consistent Transfer Operators

Autores: Sélley, F.M., Tanzi, M.
Publicado en: Commun. Math. Phys., Edición 382, 2021, Página(s) 1601–1624, ISSN 0010-3616
Editor: Springer Verlag
DOI: 10.1007/s00220-021-03983-6

Thermodynamic formalism for piecewise expanding maps in finite dimension

Autores: Baladi, Viviane; Castorrini, Roberto
Publicado en: Discrete and Continuous Dynamical Systems, 2024, ISSN 1078-0947
Editor: Dept. of Mathematics, Southwest Missouri State University
DOI: 10.48550/arxiv.2304.05910

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

Autores: Viviane Baladi, Daniel Smania
Publicado en: Communications in Mathematical Physics, 2021, ISSN 0010-3616
Editor: Springer Verlag
DOI: 10.1007/s00220-021-04015-z

Pre-threshold fractional susceptibility functions at Misiurewicz parameters

Autores: Julien Sedro
Publicado en: "Nonlinearity, IOP Publishing, 2021, ⟨10.1088/1361-6544/ac20a3⟩", Edición 5, 2021, ISSN 0951-7715
Editor: Institute of Physics Publishing
DOI: 10.48550/arxiv.2011.13648

Scattering rigidity for analytic metrics

Autores: Yannick Guedes Bonthonneau; Colin Guillarmou; Malo Jézéquel
Publicado en: Cambridge Journal of Mathematics, 2024, ISSN 2168-0930
Editor: International Pressof Boston
DOI: 10.48550/arxiv.2201.02100

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

Autores: Nisha Chandramoorthy; Malo Jézéquel
Publicado en: Nonlinearity, Edición 1, 2022, ISSN 0951-7715
Editor: Institute of Physics Publishing
DOI: 10.48550/arxiv.2109.02750

Loss of Memory and Moment Bounds for Nonstationary Intermittent Dynamical Systems

Autores: A. Korepanov, J. Leppänen
Publicado en: Communications in Mathematical Physics, 2021, ISSN 0010-3616
Editor: Springer Verlag
DOI: 10.1007/s00220-021-04071-5

Local and global trace formulae for smooth hyperbolic diffeomorphisms

Autores: Malo Jézéquel
Publicado en: Journal of Spectral Theory, Edición 10/1, 2020, Página(s) 185-249, ISSN 1664-0403
Editor: European Mathematical Society
DOI: 10.4171/jst/290

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

Autores: Olli Hella, Juho Leppänen
Publicado en: Stochastics and Dynamics, Edición 2019, 2019, Página(s) 2050025, ISSN 0219-4937
Editor: World Scientific Publishing Co
DOI: 10.1142/S0219493720500252

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

Autores: L. Marangio, J. Sedro, S. Galatolo, A. Di Garbo, M. Ghil
Publicado en: Journal of Statistical Physics, 2019, ISSN 0022-4715
Editor: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10955-019-02421-1

Quadratic response of random and deterministic dynamical systems

Autores: Stefano Galatolo, Julien Sedro
Publicado en: Chaos: An Interdisciplinary Journal of Nonlinear Science, Edición 30/2, 2020, Página(s) 023113, ISSN 1054-1500
Editor: American Institute of Physics
DOI: 10.1063/1.5122658

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

Autores: Viviane Baladi, Mark F. Demers
Publicado en: Journal of the American Mathematical Society, Edición 33/2, 2020, Página(s) 381-449, ISSN 0894-0347
Editor: American Mathematical Society
DOI: 10.1090/jams/939

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

Autores: Demers, Mark F.; Korepanov, Alexey
Publicado en: Proc. London Math. Soc., 2024, ISSN 0024-6115
Editor: Oxford University Press
DOI: 10.1112/plms.12578

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

Autores: Wael Bahsoun; Fanni M. Sélley
Publicado en: Annales Henri Poincaré, Edición 3, 2022, ISSN 1424-0637
Editor: Birkhauser Verlag
DOI: 10.1007/s00023-022-01164-2

Transfer operators for ultradifferentiable expanding maps of the circle

Autores: Malo Jézéquel
Publicado en: Ergodic Theory and Dynamical Systems, 2020, ISSN 0143-3857
Editor: 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

Autores: Bastien Fernandez; Fanni M Sélley
Publicado en: Nonlinearity, Edición 4, 2022, ISSN 0951-7715
Editor: Institute of Physics Publishing
DOI: 10.1088/1361-6544/ac640f

FBI Transform in Gevrey Classes and Anosov Flows

Autores: Yannick Guedes Bonthonneau, Malo Jézéquel
Publicado en: Astérisque, 2025, ISSN 0303-1179
Editor: Societe Mathematique de France

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

Autores: Jérôme Carrand
Publicado en: Qualitative Theory of Dynamical Systems, Edición 3, 2022, ISSN 1575-5460
Editor: Springer Verlag
DOI: 10.1007/s12346-022-00632-8

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

Autores: Caroline L. Wormell
Publicado en: Proceedings of the Royal Society A, Edición 5, 2022, ISSN 1471-2946
Editor: Royal Society
DOI: 10.1098/rspa.2021.0808

Quantitative statistical properties of two-dimensional partially hyperbolic systems

Autores: Castorrini, Roberto; Liverani, Carlangelo
Publicado en: Advances in Mathematics, Edición 3, 2022, ISSN 0001-8708
Editor: Academic Press
DOI: 10.48550/arxiv.2007.05602

Semiclassical Measures for Higher-Dimensional Quantum Cat Maps

Autores: Semyon Dyatlov; Malo Jézéquel
Publicado en: Annales Henri Poincaré, 2023, ISSN 1424-0637
Editor: Birkhauser Verlag
DOI: 10.1007/s00023-023-01309-x

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

Autores: Fanni M. Sélley
Publicado en: Journal of Computational Dynamics, Edición 8/1, 2021, Página(s) 9-32, ISSN 2158-2505
Editor: American Institute of Mathematical Sciences
DOI: 10.3934/jcd.2021002

On the fractional susceptibility function of piecewise expanding maps

Autores: Magnus Aspenberg; Viviane Baladi; Juho Leppänen; Tomas Persson
Publicado en: ISSN: 1078-0947, Edición 5, 2022, ISSN 1078-0947
Editor: Dept. of Mathematics, Southwest Missouri State University
DOI: 10.48550/arxiv.1910.00369

Horocycle averages on closed manifolds and transfer operators

Autores: Adam, Alexander; Baladi, Viviane
Publicado en: Tunisian Joural of Mathematics, Edición 4, 2022, ISSN 2576-7658
Editor: MSP
DOI: 10.2140/tunis.2022.4.387

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