Existence of a unique invariant measure for a class of equicontinuous Markov operators with application to a stochastic model for an autoregulated gene S Hille, K Horbacz, T Szarek Annales mathématiques Blaise Pascal 23 (2), 171-217, 2016 | 26 | 2016 |
Ergodic properties of some piecewise-deterministic Markov process with application to gene expression modelling D Czapla, K Horbacz, H Wojewódka-Ściążko Stochastic Processes and their Applications 130 (5), 2851-2885, 2020 | 19 | 2020 |
Invariant measures for random dynamical systems K Horbacz | 18 | 2008 |
A useful version of the central limit theorem for a general class of Markov chains D Czapla, K Horbacz, H Wojewódka-Ściążko Journal of Mathematical Analysis and Applications 484 (1), 123725, 2020 | 16 | 2020 |
Law of large numbers for random dynamical systems K Horbacz, M Ślȩczka Journal of Statistical Physics 162, 671-684, 2016 | 15 | 2016 |
On stability of some general random dynamical system K Horbacz, J Myjak, T Szarek Journal of statistical physics 119, 35-60, 2005 | 15 | 2005 |
Random dynamical systems with jumps K Horbacz Journal of applied probability 41 (3), 890-910, 2004 | 14 | 2004 |
Asymptotic stability of dynamical systems with multiplicative perturbations K Horbacz Annales Polonici Mathematici 2 (50), 209-218, 1989 | 14 | 1989 |
Limit theorems for some Markov chains S Hille, K Horbacz, T Szarek, H Wojewódka Journal of Mathematical Analysis and Applications 443 (1), 385-408, 2016 | 13 | 2016 |
The Strassen invariance principle for certain non-stationary Markov–Feller chains D Czapla, K Horbacz, H Wojewódka-Ściążko Asymptotic Analysis 121 (1), 1-34, 2021 | 12 | 2021 |
Continuous iterated function systems on Polish spaces K Horbacz, T Szarek Bulletin of the Polish Academy of Sciences. Mathematics 49 (2), 191-202, 2001 | 12 | 2001 |
Dynamical systems with multiplicative perturbations K Horbacz Annales Polonici Mathematici 1 (50), 11-26, 1989 | 12 | 1989 |
Equicontinuity and stability properties of Markov chains arising from iterated function systems on Polish spaces D Czapla, K Horbacz Stochastic Analysis and Applications 32 (1), 1-29, 2014 | 10 | 2014 |
Invariant measures related with randomly connected Poisson driven differential equations K Horbacz Annales Polonici Mathematici 79, 31-44, 2002 | 10 | 2002 |
Randomly connected dynamical systems-asymptotic stability K Horbacz Annales Polonici Mathematici 68 (1), 31-50, 1998 | 10 | 1998 |
The central limit theorem for random dynamical systems K Horbacz Journal of Statistical Physics 164 (6), 1261-1291, 2016 | 9 | 2016 |
Randomly connected dynamical systems on Banach spaces K Horbacz, T Szarek Taylor & Francis Group 19 (4), 519-543, 2001 | 8 | 2001 |
Dynamical systems with multiplicative perturbations: the strong convergence of measures K Horbacz Annales Polonici Mathematici 58 (1), 85-93, 1993 | 8 | 1993 |
Continuous random dynamical systems K Horbacz Journal of Mathematical Analysis and Applications 408 (2), 623-637, 2013 | 7 | 2013 |
Asymptotic stability of a semigroup generated by randomly connected Poisson driven differential equations K Horbacz Bollettino dell'Unione Matematica Italiana 9 (3), 545-566, 2006 | 6 | 2006 |