Entropy, volume growth and SRB measures for Banach space mappings
A Blumenthal, LS Young - Inventiones mathematicae, 2017 - Springer
Abstract We consider C^ 2 C 2 Fréchet differentiable mappings of Banach spaces leaving
invariant compactly supported Borel probability measures, and study the relation between …
invariant compactly supported Borel probability measures, and study the relation between …
Entropy, Chaos, and Weak Horseshoe for Infinite‐Dimensional Random Dynamical Systems
In this paper, we study the complicated dynamics of infinite‐dimensional random dynamical
systems that include deterministic dynamical systems as their special cases in a Polish …
systems that include deterministic dynamical systems as their special cases in a Polish …
Generalizations of SRB measures to nonautonomous, random, and infinite dimensional systems
LS Young - Journal of Statistical Physics, 2017 - Springer
We review some developments that are direct outgrowths of, or closely related to, the idea of
SRB measures as introduced by Sinai, Ruelle and Bowen in the 1970s. These new …
SRB measures as introduced by Sinai, Ruelle and Bowen in the 1970s. These new …
SRB measures for a class of partially hyperbolic attractors in Hilbert spaces
Z Lian, P Liu, K Lu - Journal of Differential Equations, 2016 - Elsevier
In this paper, we study the existence of SRB measures and their properties for infinite
dimensional dynamical systems in a Hilbert space. We show several results including (i) if …
dimensional dynamical systems in a Hilbert space. We show several results including (i) if …
Existence of SRB measures for a class of partially hyperbolic attractors in Banach spaces
Z Lian, P Liu, K Lu - arXiv preprint arXiv:1603.01582, 2016 - arxiv.org
arXiv:1603.01582v1 [math.DS] 4 Mar 2016 Page 1 arXiv:1603.01582v1 [math.DS] 4 Mar
2016 EXISTENCE OF SRB MEASURES FOR A CLASS OF PARTIALLY HYPERBOLIC …
2016 EXISTENCE OF SRB MEASURES FOR A CLASS OF PARTIALLY HYPERBOLIC …
Characterization of SRB measures for random dynamical systems in a Banach space
C Luo, Y Zhao - Journal of Differential Equations, 2024 - Elsevier
This paper considers C 2 random dynamical systems in a Banach space, and proves that
under some mild conditions, SRB measures are characterized by invariant measures …
under some mild conditions, SRB measures are characterized by invariant measures …
Entropies of commuting transformations on Hilbert spaces
Z Li, Y Zhu - arXiv preprint arXiv:2006.08077, 2020 - arxiv.org
By establishing Multiplicative Ergodic Theorem for commutative transformations on a
separable infinite dimensional Hilbert space, in this paper, we investigate Pesin's entropy …
separable infinite dimensional Hilbert space, in this paper, we investigate Pesin's entropy …
A remark on stochastic flows in a Hilbert space
D Tang, L Gu, Z Li - Journal of Dynamical and Control Systems, 2020 - Springer
This paper is an extension of known results of Pesin's entropy formula and SRB measures
for random compositions of infinite-dimensional mappings to the continuous-time setting of …
for random compositions of infinite-dimensional mappings to the continuous-time setting of …
Nonuniformly hyperbolic theory for Banach space mappings
A Blumenthal - 2016 - search.proquest.com
We seek to extend to the setting of Banach space mappings a concept which has proven
highly useful in the study of finite dimensional dissipative dynamical systems, that of SRB …
highly useful in the study of finite dimensional dissipative dynamical systems, that of SRB …