Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Daren Wei"'
Publikováno v:
Nonlinearity. 36:2923-2974
Measure-theoretic slow entropy is a more refined invariant than the classical measure-theoretic entropy to characterize the complexity of dynamical systems with subexponential growth rates of distinguishable orbit types. In this paper we prove flexib
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::22e1d1d0a7af3596aa14dc56f5deb67b
https://doi.org/10.1088/1361-6544/acc920
https://doi.org/10.1088/1361-6544/acc920
Autor:
Daren Wei
Publikováno v:
Sixth International Conference on Traffic Engineering and Transportation System (ICTETS 2022).
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7ae15a5a77ab2ba0ad45c044d4ae4ce5
https://doi.org/10.1117/12.2668852
https://doi.org/10.1117/12.2668852
Publikováno v:
Ergodic Theory and Dynamical Systems. 42:665-690
We introduce two properties: strong R-property and $C(q)$ -property, describing a special way of divergence of nearby trajectories for an abstract measure-preserving system. We show that systems satisfying the strong R-property are disjoint (in the s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4a59f64dd0c8ed37768006b460d41bf6
https://doi.org/10.1017/etds.2021.34
https://doi.org/10.1017/etds.2021.34
Publikováno v:
Communications in Mathematical Physics. 370:449-474
We study nontrivial entropy invariants in the class of parabolic flows on homogeneous spaces, quasi-unipotent flows. We show that topological complexity (ie, slow entropy) can be computed directly from the Jordan block structure of the adjoint repres
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::af36f99e33b3f772f49bd99b962689c0
https://doi.org/10.1007/s00220-019-03512-6
https://doi.org/10.1007/s00220-019-03512-6
We study Kakutani equivalence in the class of unipotent flows acting on finite volume quotients of semisimple Lie groups. For every such flow we compute the Kakutani invariant of M. Ratner, the value of which being explicitly given by the Jordan bloc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::98573e513dbceeb0f72e10c17c7cb735
http://arxiv.org/abs/1805.01501
http://arxiv.org/abs/1805.01501
Autor:
Adam Kanigowski, Daren Wei
We study the standard(zero entropy loosely Bernoulli or loosely Kronecker) property for products of Kochergin smooth flows on $\mathbb{T}^2$ with one singularity. These flows can be represented as special flows over irrational rotations of the circle
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::87370121277705aa16138e466edc38c1
http://arxiv.org/abs/1702.01224
http://arxiv.org/abs/1702.01224
Autor:
Daren Wei
Publikováno v:
SSRN Electronic Journal.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bb2c33b58a430e0fc51d9ebb094da41b
https://doi.org/10.2139/ssrn.3072677
https://doi.org/10.2139/ssrn.3072677