Temat: cocycles - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Continuous subadditive processes and formulae for Lyapunov characteristic exponents
Autorzy:: Słomczyński, Wojciech
Powiązania:: https://bibliotekanauki.pl/articles/1311504.pdf
Data publikacji:: 1995
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: Lyapunov exponents
subadditive processes
invariant measures
cocycles
Opis:: Asymptotic properties of various semidynamical systems can be examined by means of continuous subadditive processes. To investigate such processes we consider different types of exponents: characteristic, central, singular and global exponents and we study their properties. We derive formulae for central and singular exponents and show that they provide upper bounds for characteristic exponents. The concept of conjugate processes introduced in this paper allows us to find lower bounds for characteristic exponents. We also give applications to continuous cocycles.
Źródło:: Annales Polonici Mathematici; 1995, 61, 2; 101-134
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Semi-additive functionals and cocycles in the context of self-similarity
Autorzy:: Pipiras, Vladas
Taqqu, Murad
Powiązania:: https://bibliotekanauki.pl/articles/729924.pdf
Data publikacji:: 2010
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: stable
self-similar processes with stationary increments
mixed moving averages
nonsingular flows
cocycles
semi-additive functionals
Opis:: Kernel functions of stable, self-similar mixed moving averages are known to be related to nonsingular flows. We identify and examine here a new functional occuring in this relation and study its properties. To prove its existence, we develop a general result about semi-additive functionals related to cocycles. The functional we identify, is helpful when solving for the kernel function generated by a flow. Its presence also sheds light on the previous results on the subject.
Źródło:: Discussiones Mathematicae Probability and Statistics; 2010, 30, 2; 149-177
1509-9423
Pojawia się w:: Discussiones Mathematicae Probability and Statistics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Construction of non-constant and ergodic cocycles
Autorzy:: Nerurkar, Mahesh
Powiązania:: https://bibliotekanauki.pl/articles/965766.pdf
Data publikacji:: 2000
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: cocycles
rigid dynamical systems
ergodicity
Opis:: We construct continuous G-valued cocycles that are not cohomologous to any compact constant via a measurable transfer function, provided the underlying dynamical system is rigid and the range group G satisfies a certain general condition. For more general ergodic aperiodic systems, we also show that the set of continuous ergodic cocycles is residual in the class of all continuous cocycles provided the range group G is a compact connected Lie group. The first construction is based on the "closure of coboundaries technique", whereas the second result is proved by developing in addition a new approximation technique.
Źródło:: Colloquium Mathematicum; 2000, 84/85, 2; 395-419
0010-1354
Pojawia się w:: Colloquium Mathematicum
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: On a gap series of Mark Kac
Autorzy:: Fukuyama, Katusi
Powiązania:: https://bibliotekanauki.pl/articles/965898.pdf
Data publikacji:: 1999
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: cocycles
gap theorem
central limit theorem
Opis:: Mark Kac gave an example of a function f on the unit interval such that f cannot be written as f(t)=g(2t)-g(t) with an integrable function g, but the limiting variance of $n^{-1/2}\sum_{k=0}^{n-1} f(2^kt)$ vanishes. It is proved that there is no measurable g such that f(t)=g(2t)-g(t). It is also proved that there is a non-measurable g which satisfies this equality.
Źródło:: Colloquium Mathematicum; 1999, 81, 2; 157-160
0010-1354
Pojawia się w:: Colloquium Mathematicum
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 5.

Tytuł:: Rank and spectral multiplicity
Autorzy:: Ferenczi, Sébastien
Kwiatkowski, Jan
Powiązania:: https://bibliotekanauki.pl/articles/1293187.pdf
Data publikacji:: 1992
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: spectral multiplicity
rank
Morse cocycles
Opis:: For a dynamical system (X,T,μ), we investigate the connections between a metric invariant, the rank r(T), and a spectral invariant, the maximal multiplicity m(T). We build examples of systems for which the pair (m(T),r(T)) takes values (m,m) for any integer m ≥ 1 or (p-1, p) for any prime number p ≥ 3.
Źródło:: Studia Mathematica; 1992, 102, 2; 121-144
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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