### Generic properties of iterated function systems with place dependent probabilities.

Bielaczyc, Tomasz (2006)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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Bielaczyc, Tomasz (2006)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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Anja Voss-Böhme (2011)

Kybernetika

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For general interacting particle systems in the sense of Liggett, it is proven that the class of cylinder functions forms a core for the associated Markov generator. It is argued that this result cannot be concluded by straightforwardly generalizing the standard proof technique that is applied when constructing interacting particle systems from their Markov pregenerators.

Katarzyna Horbacz (1993)

Annales Polonici Mathematici

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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.

Jan Malczak (1992)

Annales Polonici Mathematici

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We define the Foiaş solutions of the transport equation and we prove that the strong asymptotic stability of the Foiaş solutions is equivalent to the asymptotic stability of the solutions of the transport equation in L¹.

M. González, M. Molina, M. Mota (2001)

Extracta Mathematicae

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Kaim, Sebastian J. (2007)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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Doisy, M. (2000)

Journal of Applied Mathematics and Decision Sciences

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Joachim Domsta, Franciszek Grabski (1995)

Applicationes Mathematicae

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Let $\left(\xb7\right)$, n ∈ N, be a sequence of homogeneous semi-Markov processes (HSMP) on a countable set K, all with the same initial p.d. concentrated on a non-empty proper subset J. The subrenewal kernels which are restrictions of the corresponding renewal kernels $$ on K×K to J×J are assumed to be suitably convergent to a renewal kernel P (on J×J). The HSMP on J corresponding to P is assumed to be strongly recurrent. Let [${\pi}_{j}$; j ∈ J] be the stationary p.d. of the embedded Markov chain. In terms of...

Evgueni Gordienko, Onésimo Hernández-Lerma (1995)

Applicationes Mathematicae

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This paper shows the convergence of the value iteration (or successive approximations) algorithm for average cost (AC) Markov control processes on Borel spaces, with possibly unbounded cost, under appropriate hypotheses on weighted norms for the cost function and the transition law. It is also shown that the aforementioned convergence implies strong forms of AC-optimality and the existence of forecast horizons.

Ł. Stettner (1991)

Colloquium Mathematicae

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Wojciech Bartoszek (1996)

Annales Polonici Mathematici

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We provide sufficient and necessary conditions for asymptotic periodicity of iterates of strong Feller stochastic operators.