Temat: cocycle - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Isometric extensions, 2-cocycles and ergodicity of skew products
Autorzy:: Danilenko, Alexandre I.
Lemańczyk, Mariusz
Powiązania:: https://bibliotekanauki.pl/articles/1216196.pdf
Data publikacji:: 1999
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: ergodic transformation
cocycle
isometric extension
Opis:: We establish existence and uniqueness of a canonical form for isometric extensions of an ergodic non-singular transformation T. This is applied to describe the structure of commutors of the isometric extensions. Moreover, for a compact group G, we construct a G-valued T-cocycle α which generates the ergodic skew product extension $T_α$ and admits a prescribed subgroup in the centralizer of $T_α$.
Źródło:: Studia Mathematica; 1999, 137, 2; 123-142
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Invariant densities for C¹ maps
Autorzy:: N. Quas, Anthony
Powiązania:: https://bibliotekanauki.pl/articles/1287383.pdf
Data publikacji:: 1996
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: cocycle
expanding map
invariant density
absolutely continuous invariant measure
Opis:: We consider the set of $C^1$ expanding maps of the circle which have a unique absolutely continuous invariant probability measure whose density is unbounded, and show that this set is dense in the space of $C^1$ expanding maps with the $C^1$ topology. This is in contrast with results for $C^2$ or $C^{1+ε}$ maps, where the invariant densities can be shown to be continuous.
Źródło:: Studia Mathematica; 1996, 120, 1; 83-88
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Generic smooth cocycles of degree zero over irrational rotations
Autorzy:: Iwanik, Anzelm
Powiązania:: https://bibliotekanauki.pl/articles/1288978.pdf
Data publikacji:: 1995
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: Anzai skew product
weakly mixing cocycle
cyclic approximation
simple spectrum
Opis:: If a rotation α of has unbounded partial quotients then "most" of its skew-product diffeomorphic extensions to the 2-torus × defined by $C^1$ cocycles of topological degree zero enjoy nontrivial ergodic properties. In fact they admit a cyclic approximation with speed o(1/n) and have nondiscrete (simple) spectrum. Similar results are obtained for $C^r$ cocycles if α admits a sufficiently good approximation by rationals. For a.e. α and generic $C^1$ cocycles the speed can be improved to o(1/(nlogn)). For generic α and generic $C^r$ cocycles (r = 1,...,∞) the spectral measure of the skew product has a continuous component and Hausdorff dimension zero.
Źródło:: Studia Mathematica; 1995, 115, 3; 241-250
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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