Zobrazeno 1 - 10
of 21
pro vyhledávání: '"Aimee S. A. Johnson"'
Publikováno v:
Dynamical Systems. 37:222-261
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d733d4213b636018cb6d697d0b8ae8a9
https://doi.org/10.1080/14689367.2022.2033166
https://doi.org/10.1080/14689367.2022.2033166
Autor:
Aimee S. A. Johnson, Ayse A. Sahin
Publikováno v:
Ergodic Theory and Dynamical Systems. 35:2138-2150
We define directional recurrence for infinite measure preserving Z^d actions both intrinsically and via the unit suspension flow and prove that the two definitions are equivalent. We study the structure of the set of recurrent directions and show it
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::49514d7fdcdc3ce9a095647019164a2d
https://doi.org/10.1017/etds.2014.17
https://doi.org/10.1017/etds.2014.17
Publikováno v:
Dynamical Systems. 29:255-284
We define what it means to ‘speed up’ a-measure-preserving dynamical system, and prove that given any ergodic extension Tσ of a -measure-preserving action by a locally compact, second countable group G, and given any second G-extension Sσ of an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cd03d05832f7f5669a0342e1eeeb5749
https://doi.org/10.1080/14689367.2014.884542
https://doi.org/10.1080/14689367.2014.884542
Publikováno v:
Contemporary Mathematics ISBN: 9781470422998
Ergodic Theory, Dynamical Systems, and the Continuing Influence of John C. Oxtoby
Ergodic Theory, Dynamical Systems, and the Continuing Influence of John C. Oxtoby
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0365633cbab2aa9ccbdb7be6c52661c2
https://doi.org/10.1090/conm/678
https://doi.org/10.1090/conm/678
Autor:
Aimee S. A. Johnson, Kathleen Madden
Publikováno v:
Ergodic Theory and Dynamical Systems. 25:811-822
A one-dimensional shift of finite type (X,Z) with entropy at least logn factors onto the full n-shift. The factor map is constructed by exploiting the fact that X, or a subshift of X, is conjugate to a shift of finite type in which every symbol can b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::530237f72755ae35ca6b21461a71cf53
https://doi.org/10.1017/s0143385704000823
https://doi.org/10.1017/s0143385704000823
Autor:
Aimee S. A. Johnson, Kathleen Madden
Publikováno v:
The American Mathematical Monthly. 109:258-272
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::63b5906767ae4b8b5c53d6f654e23c45
https://doi.org/10.1080/00029890.2002.11919860
https://doi.org/10.1080/00029890.2002.11919860
Autor:
Aimee S. A. Johnson, Kamel N. Haddad
Publikováno v:
Topology and its Applications. 98:203-210
A strong connection exists between combinatorial properties and dynamical properties of topological dynamical systems. In this paper, we prove two theorems of a combinatorial nature about the recurrence of generalized Morse sequences, as defined by K
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::379cd8db4224dcd2c5edae9010c160d0
https://doi.org/10.1016/s0166-8641(98)00108-4
https://doi.org/10.1016/s0166-8641(98)00108-4
Autor:
Aimee S. A. Johnson, Ayse A. Sahin
Publikováno v:
Transactions of the American Mathematical Society. 352:1329-1343
In this paper we discuss loosely Bernoulli for Z d \mathbb Z^d actions. In particular, we prove that extensions of zero entropy, ergodic, loosely Bernoulli Z d \mathbb Z^d actions are also loosely Bernoulli.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::67c410b586b3d3288e4198360cebe6b3
https://doi.org/10.1090/s0002-9947-99-02500-3
https://doi.org/10.1090/s0002-9947-99-02500-3
Autor:
Kathleen Madden, Aimee S. A. Johnson
Publikováno v:
Proceedings of the American Mathematical Society. 127:1533-1543
A one-dimensional shift of finite type can be described as the collection of bi-infinite “walks" along an edge graph. The Decomposition Theorem states that every conjugacy between two shifts of finite type can be broken down into a finite sequence
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2682f0a9993d7febe73670bdda749950
https://doi.org/10.1090/s0002-9939-99-04678-x
https://doi.org/10.1090/s0002-9939-99-04678-x
Autor:
Aimee S. A. Johnson, Ayşe A. Şahin
Publikováno v:
Ergodic Theory and Dynamical Systems. 18:1159-1172
We define rank one for ${\Bbb Z}^d$ actions and show that those rank one actions with a certain tower shape are loosely Bernoulli for $d\ge 1$. We also construct a zero entropy ${\Bbb Z}^2$ loosely Bernoulli action with a zero entropy, ergodic, non-l
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e895a5c0f9d0095be06fd7ee3d0c7c99
https://doi.org/10.1017/s0143385798117534
https://doi.org/10.1017/s0143385798117534