7 citations · 10 across the 7 of their papers we have counts for
7 papers
On the Existence of Geometrically Attracting Measures for Iterated Function Systems with Varying Sets of Transformations
Dawid Czapla, Rafał Kapica, Maciej Ślęczka
In this paper, we focus on the asymptotic behavior of random iterated functions systems, in which both the family of transformations and the distribution of selecting them vary at…
Admissibility of retarded diagonal systems with one-dimensional input space
Rafal Kapica, Jonathan R. Partington, Radoslaw Zawiski
We investigate infinite-time admissibility of a control operator in a Hilbert space state-delayed dynamical system setting of the form , wher…
Conditions for asymptotic stability of first order scalar differential-difference equation with complex coefficients
Rafał Kapica, Radosław Zawiski
We investigate a scalar characteristic exponential polynomial with complex coefficients associated with a first order scalar differential-difference equation. Our analysis provides…
Integrable solutions of inhomogeneous refinement type equations on intervals
Rafał Kapica, Janusz Morawiec
Given a probability measure on a -algebra of subsets of a set , an interval , , and a function fulfilling some con…
Inhomogeneous refinement equations with random affine maps
Rafał Kapica, Janusz Morawiec
Given a probability space , random variables and we obtain two characterizations of these w…
Random iteration with place dependent probabilities
R. Kapica, M. Ślęczka
Markov chains arising from random iteration of functions , , where is a Polish space and is arbitrary set of indices are considerd. At , is…
The Stability of some stochastic processes
H. Bessaih, R. Kapica, T. Szarek
We formulate and prove a new criterion for stability of e-processes. It says that any e-process which is averagely bounded and concentrating is asymptotically stable. In the second…