Smooth dynamics via Operators, with Singularities

Pubblicazioni

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

Autori: Juho Leppänen, Mikko Stenlund
Pubblicato in: Journal of Statistical Physics, Numero 181/5, 2020, Pagina/e 1523-1564, ISSN 0022-4715
Editore: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10955-020-02636-7

Conditional mixing in deterministic chaos

Autori: Caroline Wormell
Pubblicato in: Ergodic Theory and Dynamical Systems, 2023, ISSN 0143-3857
Editore: 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

Autori: VIVIANE BALADI
Pubblicato in: Ergodic Theory and Dynamical Systems, 2021, Pagina/e 1-14, ISSN 0143-3857
Editore: Cambridge University Press
DOI: 10.1017/etds.2021.17

Regularity of Characteristic Exponents and Linear Response for Transfer Operator Cocycles

Autori: Julien Sedro, Hans Henrik Rugh
Pubblicato in: Communications in Mathematical Physics, Numero 383/2, 2021, Pagina/e 1243-1289, ISSN 0010-3616
Editore: Springer Verlag
DOI: 10.1007/s00220-021-04019-9

Measure of maximal entropy for finite horizon Sinai billiard flows

Autori: Baladi, Viviane; Carrand, Jérôme; Demers, Mark
Pubblicato in: Annales Henri Lebesgue, 2024, ISSN 2644-9463
Editore: 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

Autori: D. Dragičević; Y. Hafouta; J. Sedro
Pubblicato in: Journal of Statistical Physics, Numero 5, 2023, ISSN 0022-4715
Editore: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10955-023-03067-w

Quenched Linear Response for Smooth Expanding on Average Cocycles

Autori: Davor Dragičević; Paolo Giulietti; Julien Sedro
Pubblicato in: Communications in Mathematical Physics, 2022, ISSN 0010-3616
Editore: Springer Verlag
DOI: 10.1007/s00220-022-04560-1

Quenched limit theorems for expanding on average cocycles

Autori: Davor Dragičević; Julien Sedro
Pubblicato in: Stochastics and Dynamics, 2023, ISSN 0219-4937
Editore: World Scientific Publishing Co
DOI: 10.1142/s0219493723500466

Synchronization for Networks of Globally Coupled Maps in the Thermodynamic Limit

Autori: Fanni M. Sélley, Matteo Tanzi
Pubblicato in: Journal of Statistical Physics, 2022, ISSN 0022-4715
Editore: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10955-022-02968-6

Thermodynamic formalism for dispersing billiards

Autori: Baladi, Viviane; Demers, Mark
Pubblicato in: Journal of Modern Dynamics, Numero 9, 2022, ISSN 1930-5311
Editore: American Institute of Mathematical Sciences
DOI: 10.3934/jmd.2022013

Global Trace Formula for Ultra-Differentiable Anosov Flows

Autori: Malo Jézéquel
Pubblicato in: Communications in Mathematical Physics, 2021, ISSN 0010-3616
Editore: Springer Verlag
DOI: 10.1007/s00220-020-03930-x

Statistical stability and linear response for random hyperbolic dynamics

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

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

Autori: Jérôme Carrand
Pubblicato in: Nonlinearity, Numero 3, 2023, ISSN 0951-7715
Editore: Institute of Physics Publishing
DOI: 10.48550/arxiv.2104.11625

Linear Response for a Family of Self-consistent Transfer Operators

Autori: Sélley, F.M., Tanzi, M.
Pubblicato in: Commun. Math. Phys., Numero 382, 2021, Pagina/e 1601–1624, ISSN 0010-3616
Editore: Springer Verlag
DOI: 10.1007/s00220-021-03983-6

Thermodynamic formalism for piecewise expanding maps in finite dimension

Autori: Baladi, Viviane; Castorrini, Roberto
Pubblicato in: Discrete and Continuous Dynamical Systems, 2024, ISSN 1078-0947
Editore: Dept. of Mathematics, Southwest Missouri State University
DOI: 10.48550/arxiv.2304.05910

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

Autori: Viviane Baladi, Daniel Smania
Pubblicato in: Communications in Mathematical Physics, 2021, ISSN 0010-3616
Editore: Springer Verlag
DOI: 10.1007/s00220-021-04015-z

Pre-threshold fractional susceptibility functions at Misiurewicz parameters

Autori: Julien Sedro
Pubblicato in: "Nonlinearity, IOP Publishing, 2021, ⟨10.1088/1361-6544/ac20a3⟩", Numero 5, 2021, ISSN 0951-7715
Editore: Institute of Physics Publishing
DOI: 10.48550/arxiv.2011.13648

Scattering rigidity for analytic metrics

Autori: Yannick Guedes Bonthonneau; Colin Guillarmou; Malo Jézéquel
Pubblicato in: Cambridge Journal of Mathematics, 2024, ISSN 2168-0930
Editore: International Pressof Boston
DOI: 10.48550/arxiv.2201.02100

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

Autori: Nisha Chandramoorthy; Malo Jézéquel
Pubblicato in: Nonlinearity, Numero 1, 2022, ISSN 0951-7715
Editore: Institute of Physics Publishing
DOI: 10.48550/arxiv.2109.02750

Loss of Memory and Moment Bounds for Nonstationary Intermittent Dynamical Systems

Autori: A. Korepanov, J. Leppänen
Pubblicato in: Communications in Mathematical Physics, 2021, ISSN 0010-3616
Editore: Springer Verlag
DOI: 10.1007/s00220-021-04071-5

Local and global trace formulae for smooth hyperbolic diffeomorphisms

Autori: Malo Jézéquel
Pubblicato in: Journal of Spectral Theory, Numero 10/1, 2020, Pagina/e 185-249, ISSN 1664-0403
Editore: European Mathematical Society
DOI: 10.4171/jst/290

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

Autori: Olli Hella, Juho Leppänen
Pubblicato in: Stochastics and Dynamics, Numero 2019, 2019, Pagina/e 2050025, ISSN 0219-4937
Editore: World Scientific Publishing Co
DOI: 10.1142/S0219493720500252

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

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

Quadratic response of random and deterministic dynamical systems

Autori: Stefano Galatolo, Julien Sedro
Pubblicato in: Chaos: An Interdisciplinary Journal of Nonlinear Science, Numero 30/2, 2020, Pagina/e 023113, ISSN 1054-1500
Editore: American Institute of Physics
DOI: 10.1063/1.5122658

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

Autori: Viviane Baladi, Mark F. Demers
Pubblicato in: Journal of the American Mathematical Society, Numero 33/2, 2020, Pagina/e 381-449, ISSN 0894-0347
Editore: American Mathematical Society
DOI: 10.1090/jams/939

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

Autori: Demers, Mark F.; Korepanov, Alexey
Pubblicato in: Proc. London Math. Soc., 2024, ISSN 0024-6115
Editore: Oxford University Press
DOI: 10.1112/plms.12578

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

Autori: Wael Bahsoun; Fanni M. Sélley
Pubblicato in: Annales Henri Poincaré, Numero 3, 2022, ISSN 1424-0637
Editore: Birkhauser Verlag
DOI: 10.1007/s00023-022-01164-2

Transfer operators for ultradifferentiable expanding maps of the circle

Autori: Malo Jézéquel
Pubblicato in: Ergodic Theory and Dynamical Systems, 2020, ISSN 0143-3857
Editore: 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

Autori: Bastien Fernandez; Fanni M Sélley
Pubblicato in: Nonlinearity, Numero 4, 2022, ISSN 0951-7715
Editore: Institute of Physics Publishing
DOI: 10.1088/1361-6544/ac640f

FBI Transform in Gevrey Classes and Anosov Flows

Autori: Yannick Guedes Bonthonneau, Malo Jézéquel
Pubblicato in: Astérisque, 2025, ISSN 0303-1179
Editore: Societe Mathematique de France

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

Autori: Jérôme Carrand
Pubblicato in: Qualitative Theory of Dynamical Systems, Numero 3, 2022, ISSN 1575-5460
Editore: Springer Verlag
DOI: 10.1007/s12346-022-00632-8

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

Autori: Caroline L. Wormell
Pubblicato in: Proceedings of the Royal Society A, Numero 5, 2022, ISSN 1471-2946
Editore: Royal Society
DOI: 10.1098/rspa.2021.0808

Quantitative statistical properties of two-dimensional partially hyperbolic systems

Autori: Castorrini, Roberto; Liverani, Carlangelo
Pubblicato in: Advances in Mathematics, Numero 3, 2022, ISSN 0001-8708
Editore: Academic Press
DOI: 10.48550/arxiv.2007.05602

Semiclassical Measures for Higher-Dimensional Quantum Cat Maps

Autori: Semyon Dyatlov; Malo Jézéquel
Pubblicato in: Annales Henri Poincaré, 2023, ISSN 1424-0637
Editore: Birkhauser Verlag
DOI: 10.1007/s00023-023-01309-x

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

Autori: Fanni M. Sélley
Pubblicato in: Journal of Computational Dynamics, Numero 8/1, 2021, Pagina/e 9-32, ISSN 2158-2505
Editore: American Institute of Mathematical Sciences
DOI: 10.3934/jcd.2021002

On the fractional susceptibility function of piecewise expanding maps

Autori: Magnus Aspenberg; Viviane Baladi; Juho Leppänen; Tomas Persson
Pubblicato in: ISSN: 1078-0947, Numero 5, 2022, ISSN 1078-0947
Editore: Dept. of Mathematics, Southwest Missouri State University
DOI: 10.48550/arxiv.1910.00369

Horocycle averages on closed manifolds and transfer operators

Autori: Adam, Alexander; Baladi, Viviane
Pubblicato in: Tunisian Joural of Mathematics, Numero 4, 2022, ISSN 2576-7658
Editore: MSP
DOI: 10.2140/tunis.2022.4.387

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