Pełnotekstowe zasoby PLDML oraz innych baz dziedzinowych są już dostępne w nowej Bibliotece Nauki.
Zapraszamy na https://bibliotekanauki.pl
Preferencje help
Polish version English version Język
Widoczny [Schowaj] Abstrakt
Liczba wyników

Znaleziono wyników: 9

Liczba wyników na stronie
first rewind previous Strona / 1 next fast forward last

Wyniki wyszukiwania

help Sortuj według:

help Ogranicz wyniki do:
first rewind previous Strona / 1 next fast forward last
1
Content available remote

Invariant measures for random dynamical systems

100%
Horbacz K.
Instytut Matematyczny Polskiej Akademii Nauk
EN
We consider random dynamical systems with randomly chosen jumps on Polish spaces. They generalize Markov processes corresponding to iterated function systems, Poisson driven stochastic differential equations, and irreducible Markov systems. We formulate criteria for the existence of an invariant measure and asymptotic stability for these systems. Estimates of the lower pointwise and concentration dimension of invariant measures are also given.
2
Content available remote

Dynamical systems with multiplicative perturbations: the strong convergence of measures

95%
Horbacz K.
Annales Polonici Mathematici
|
1993
|
tom 58
|
nr 1
85-93
EN
We give sufficient conditions for the strong asymptotic stability of the distributions of dynamical systems with multiplicative perturbations. We apply our results to iterated function systems.
3
Content available remote

Asymptotic stability of a system of randomly connected transformations on Polish spaces

95%
Horbacz K.
Annales Polonici Mathematici
|
2001
|
tom 76
|
nr 3
197-211
EN
We give sufficient conditions for the existence of a matrix of probabilities $[p_{ik}]_{i,k=1}^N$ such that a system of randomly chosen transformations $Π_k$, k = 1,...,N, with probabilities $p_{ik}$ is asymptotically stable.
4
Content available remote

Invariant measures related with randomly connected Poisson driven differential equations

95%
Horbacz K.
Annales Polonici Mathematici
|
2002
|
tom 79
|
nr 1
31-44
EN
We consider the stochastic differential equation (1) $du(t) = a(u(t),ξ(t))dt + ∫_{Θ} σ(u(t),θ) 𝓝_p(dt,dθ)$ for t ≥ 0 with the initial condition u(0) = x₀. We give sufficient conditions for the existence of an invariant measure for the semigroup ${P^t}_{t≥0}$ corresponding to (1). We show that the existence of an invariant measure for a Markov operator P corresponding to the change of measures from jump to jump implies the existence of an invariant measure for the semigroup ${P^t}_{t≥0}$ describing the evolution of measures along trajectories and vice versa.
5
Content available remote

Randomly connected dynamical systems - asymptotic stability

95%
Horbacz K.
Annales Polonici Mathematici
|
1998
|
tom 68
|
nr 1
31-50
EN
We give sufficient conditions for asymptotic stability of a Markov operator governing the evolution of measures due to the action of randomly chosen dynamical systems. We show that the existence of an invariant measure for the transition operator implies the existence of an invariant measure for the semigroup generated by the system.
6
Content available remote

Irreducible Markov systems on Polish spaces

61%
Horbacz K., Szarek T.
Studia Mathematica
|
2006
|
tom 177
|
nr 3
285-295
EN
Contractive Markov systems on Polish spaces which arise from graph directed constructions of iterated function systems with place dependent probabilities are considered. It is shown that their stability may be studied using the concentrating methods developed by the second author [Dissert. Math. 415 (2003)]. In this way Werner's results obtained in a locally compact case [J. London Math. Soc. 71 (2005)] are extended to a noncompact setting.
7
Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik
Content available

Asymptotic stability of dynamical systems with multiplicative perturbations

48%
Horbacz K.
Annales Polonici Mathematici
|
1989-1990
|
tom 50
|
nr 2
209-218
8
Content available remote

Statistical properties of the Ejgielies model of a cogged bit

42%
Horbacz K.
Applicationes Mathematicae
|
1991
|
tom 21
|
nr 1
15-26
9
Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik
Content available

Dynamical systems with multiplicative perturbations

42%
Horbacz K.
Annales Polonici Mathematici
|
1989-1990
|
tom 50
|
nr 1
11-26
first rewind previous Strona / 1 next fast forward last
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.