PL
 |
EN
Nowa wersja platformy, zawierająca wyłącznie zasoby pełnotekstowe, jest już dostępna.
Przejdź na https://bibliotekanauki.pl
Preferencje help
Polish version English version Język
Widoczny [Schowaj] Abstrakt
Liczba wyników

Znaleziono wyników: 17

Liczba wyników na stronie
first rewind previous Strona / 1 next fast forward last
Wyniki wyszukiwania
Wyszukiwano:
w słowach kluczowych:  Markov operators
help Sortuj według:

help Ogranicz wyniki do:
first rewind previous Strona / 1 next fast forward last
1
Content available remote Markov operators acting on Polish spaces
100%
Szarek T.
Annales Polonici Mathematici
|
1997
|
tom 67
|
nr 3
247-257
EN
We prove a new sufficient condition for the asymptotic stability of Markov operators acting on measures. This criterion is applied to iterated function systems.
2
Content available remote Generic properties of learning systems
100%
Szarek T.
Annales Polonici Mathematici
|
2000
|
tom 73
|
nr 2
93-103
EN
It is shown that the set of learning systems having a singular stationary distribution is generic in the family of all systems satisfying the average contractivity condition.
3
Content available remote The stability of Markov operators on Polish spaces
100%
Szarek T.
Studia Mathematica
|
2000
|
tom 143
|
nr 2
145-152
EN
A sufficient condition for the asymptotic stability of Markov operators acting on measures defined on Polish spaces is presented.
4
Content available remote Random Dynamical Systems with Jumps and with a Function Type Intensity
80%
Kubieniec J.
Annales Mathematicae Silesianae
|
2016
|
tom 30
|
nr 1
63-87
EN
In paper [4] there are considered random dynamical systems with randomly chosen jumps acting on Polish spaces. The intensity of this process is a constant λ. In this paper we formulate criteria for the existence of an invariant measure and asymptotic stability for these systems in the case when λ is not constant but a Lipschitz function.
5
Content available remote Generic properties of continuous iterated function systems with place dependent probabilities
80%
Bielaczyc T.
Bulletin of the Polish Academy of Sciences. Mathematics
|
2007
|
tom Vol. 55, no 1
81-96
EN
It is shown that for a typical continuous learning system denned on a compact convex subset of R[sup]n the Hausdorff dimension of its invariant measure is equal to zero.
6
Content available remote Strong and weak stability of some Markov operators
80%
Rudnicki R.
Colloquium Mathematicum
|
2000
|
tom 84/85
|
nr 1
255-263
EN
An integral Markov operator $P$ appearing in biomathematics is investigated. This operator acts on the space of probabilistic Borel measures. Let $μ$ and $ν$ be probabilistic Borel measures. Sufficient conditions for weak and strong convergence of the sequence $(P^{n}μ-P^{n}ν)$ to $0$ are given.
7
Content available On continuous time version of two-phase cell cycle model of Tyrcha
80%
Zwoleński P.
Mathematica Applicanda
|
2013
|
tom 41
|
nr 1
EN
We consider a model of two-phase cell cycle in a maturity-structured cellular population, which consists of a system of first order linear partial differential equations (transport equations). The model is based on similar biological assumptions as models of Lasota-Mackey, Tyson-Hannsgen and Tyrcha. We examine behavior of the solutions of the system along characteristics, give conditions for existence of invariant density, and compare results with outcomes of generational model.
8
Content available remote The pointwise dimension for invariant measures related with Poisson driven stochastic differential equations
70%
Szarek T.
Bulletin of the Polish Academy of Sciences. Mathematics
|
2002
|
tom Vol. 50, no 2
241-250
EN
Sufficient conditions for the asymptotic stability of Poisson driven stochastic differential equations on a separable Banach space are presented. It is also proved that the lower pointwise dimension of a unique invariant measure is greater than or equal to log 2/ log 3.
9
Content available remote Asymptotic behaviour of the iterates of nonnegative operators on Banach spaces with a cone
70%
Socała J.
Bulletin of the Polish Academy of Sciences. Mathematics
|
2002
|
tom Vol. 50, no 2
179-187
EN
An asymptotic convergence theorem for nonnegative operators on Banach spaces with a cone is proved. The general result is applied to a class of nonnegative operators on C^1 ([0, 1]).
10
Content available remote Markov operators on the space of vector measures; coloured fractals
70%
Baron K. , Lasota A.
Annales Polonici Mathematici
|
1998
|
tom 69
|
nr 3
217-234
EN
We consider the family 𝓜 of measures with values in a reflexive Banach space. In 𝓜 we introduce the notion of a Markov operator and using an extension of the Fortet-Mourier norm we show some criteria of the asymptotic stability. Asymptotically stable Markov operators can be used to construct coloured fractals.
11
Content available remote Positivity of Schilling functions
60%
Girgensohn R. , Morawiec J.
Bulletin of the Polish Academy of Sciences. Mathematics
|
2000
|
tom Vol. 48, no 4
407--412
EN
We prove that every non-trivial [L^1]-solution of the Schilling problem is either positive or negative almost everywhere on its support.
12
Content available remote An application of the Kantorovich-Rubinstein maximum principle in the stability theory of Markov operators
60%
Gacki H.
Bulletin of the Polish Academy of Sciences. Mathematics
|
1998
|
tom Vol. 46, no 2
215--223
EN
We consider the asymptotic behaviour of Markov operators acting on measures, defined on a locally are [sigma]-compact metric space. We prove a new sufficient condition for the asymptotic stability of Markov operators. This condition is applied to stochastically peturbed dynamical systems, and iterated function system.
13
Content available remote Generic properties of continuous iterated function systems
60%
Szarek T.
Bulletin of the Polish Academy of Sciences. Mathematics
|
1999
|
tom Vol. 47, no 1
77--89
EN
It is shown that in the space of all nonexpansive continuous IFS's defined on a compact convex subset of R^n the family of asymptotically stable IFS's having a singular stationary distribution is generic.
14
Content available remote On continuous time version of two-phase cell cycle model of Tyrcha
51%
Zwoleński P.
Mathematica Applicanda
|
2013
|
tom Vol. 41, No. 1
13--31
EN
We consider a model of two-phase cell cycle in a maturity-structured cellular population, which consists of a system of first order linear partial differential equations (transport equations). The model is based on similar biological assumptions as models of Lasota-Mackey, Tyson-Hannsgen and Tyrcha. We examine behavior of the solutions of the system along characteristics, give conditions for existence of invariant density, and compare results with outcomes of generation.
PL
W artykule rozważamy matematyczny opis dwufazowego modelu cyklu komórkowego w populacjach ze struktura dojrzałości komórkowej. Model, którym się zajmujemy, składa się z układu dwóch równań rózniczkowych cząstkowych (równań transportu) i jest budowany na podobnych biologicznych założeniach co modele Lasoty-Mackeya, Tysona-Hannsgena oraz Tyrchy. Rozwiązania otrzymanego układu równań badamy wzdłuż charakterystyk, podajemy warunki wystarczające na istnienie gęstości niezmienniczej i porównujemy wyniki z wynikami badań nad modelem Tyrchy.
15
Content available remote On residualities in the set of Markov continuous semigroups on C1
51%
Kuna B.
Demonstratio Mathematica
|
2006
|
tom Vol. 39, nr 2
439-453
EN
We show that the set of all stochastic strongly continuous semigroups on C1 such that limt-oo |||T(t) - Qx*||| = 0, where Qx* is one-dimensional projection for some state X*, is norm open and dense. Moreover this set forms a norm dense Gb if a state X* is strictly positive.
16
Content available remote Iterated function systems generated by strict contractions and place-dependent probabilities
51%
Zaharopol R.
Bulletin of the Polish Academy of Sciences. Mathematics
|
2000
|
tom Vol. 48, no 4
429--438
EN
Let (w[sub l], w[sub 2],...,w[sub k];p[sub 1],p[sub 2],...p[sub k]) be an iterated function system (IFS for short) with continuous place-dependent probabilities, defined on a metric space (X, d). Assume that every closed ball in X is compact. Our main result is that the IFS has an attractive probability measure whenever the following three conditions are satisfied: (1) w[sub i] : X --> X is a strict contraction for every i = 1,...,k. (2) sum[...]p[sub i](x)p[sub i](y) > 0 for every x, y [belongs to] X. (3) There exists p > 0 in R such that [...] for every x, y [belongs to] X and j = l, 2,...,k. Note that we do not require the p[sub i]'s to be even uniformly continuous. This research was motivated by a question of Barnsley, Demko, Elton, and Geronimo, [1, p. 373], concerning IFS which satisfy only condition (1). We construct a family C of IFS which we use to answer the question. Our main result allows us to distinguish IFS in C which possess attractive probabilities.
17
Content available remote Attractors of multifunetions
41%
Lasota A. , Myjak J.
Bulletin of the Polish Academy of Sciences. Mathematics
|
2000
|
tom Vol. 48, no 3
319--334
EN
We introduce the notion of a semiattractor and attractor for multifunctions and we show that they have properties similar to semifractals and fractals. Further we show a relationship between the multifunctions and transition functions appearing in the theory of Markov operators.
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.