Spectral Gap and quantitative statistical stability for systems with contracting fibers and Lorenz like maps
S Galatolo, R Lucena - arXiv preprint arXiv:1507.08191, 2015 - arxiv.org
We consider transformations preserving a contracting foliation, such that the associated
quotient map satisfies a Lasota-Yorke inequality. We prove that the associated transfer …
quotient map satisfies a Lasota-Yorke inequality. We prove that the associated transfer …
On the statistical stability of Lorenz attractors with a stable foliation
W Bahsoun, M Ruziboev - Ergodic Theory and Dynamical Systems, 2019 - cambridge.org
On the statistical stability of Lorenz attractors with a C1+α stable foliation Page 1 Ergod. Th. &
Dynam. Sys. (2019), 39, 3169–3184 doi:10.1017/etds.2018.28 c Cambridge University Press …
Dynam. Sys. (2019), 39, 3169–3184 doi:10.1017/etds.2018.28 c Cambridge University Press …
Finitely many physical measures for sectional-hyperbolic attracting sets and statistical stability
V Araujo - Ergodic Theory and Dynamical Systems, 2021 - cambridge.org
We show that a sectional-hyperbolic attracting set for a Hölder-vector field admits finitely
many physical/SRB measures whose ergodic basins cover Lebesgue almost all points of the …
many physical/SRB measures whose ergodic basins cover Lebesgue almost all points of the …
Variance continuity for Lorenz flows
Variance Continuity for Lorenz Flows | Annales Henri Poincaré Skip to main content SpringerLink
Account Menu Find a journal Publish with us Search Cart 1.Home 2.Annales Henri Poincaré …
Account Menu Find a journal Publish with us Search Cart 1.Home 2.Annales Henri Poincaré …
Statistical stability of interval maps with critical points and singularities
JF Alves, D Gama, S Luzzatto - arXiv preprint arXiv:2302.09890, 2023 - arxiv.org
We prove strong statistical stability of a large class of one-dimensional maps which may
have an arbitrary finite number of discontinuities and of non-degenerate critical points and/or …
have an arbitrary finite number of discontinuities and of non-degenerate critical points and/or …
Linear response due to singularities
W Bahsoun, S Galatolo - Nonlinearity, 2024 - iopscience.iop.org
It is well known that a family of tent-like maps with bounded derivatives has no linear
response for typical deterministic perturbations changing the value of the turning point. In …
response for typical deterministic perturbations changing the value of the turning point. In …
[图书][B] Free energy and equilibrium states for families of interval maps
We study continuity, and lack thereof, of thermodynamical properties for one-dimensional
dynamical systems. Under quite general hypotheses, the free energy is shown to be almost …
dynamical systems. Under quite general hypotheses, the free energy is shown to be almost …
Statistical instability for contracting Lorenz flows
JF Alves, MA Khan - Nonlinearity, 2019 - iopscience.iop.org
We consider one parameter families of vector fields introduced by Rovella, obtained through
modifying the eigenvalues of the geometric Lorenz attractor, replacing the expanding …
modifying the eigenvalues of the geometric Lorenz attractor, replacing the expanding …
Quenched decay of correlations for one-dimensional random Lorenz maps
A Larkin - Journal of Dynamical and Control Systems, 2022 - Springer
Quenched Decay of Correlations for One-dimensional Random Lorenz Maps | Journal of
Dynamical and Control Systems Skip to main content SpringerLink Account Menu Find a journal …
Dynamical and Control Systems Skip to main content SpringerLink Account Menu Find a journal …
On the statistical stability of families of attracting sets and the contracting Lorenz attractor
V Araujo - Journal of Statistical Physics, 2021 - Springer
We present criteria for statistical stability of attracting sets for vector fields using dynamical
conditions on the corresponding generated flows. These conditions are easily verified for all …
conditions on the corresponding generated flows. These conditions are easily verified for all …