Edit Profile (opens in new tab) Horbacz, Katarzyna Co-Author Distance Author ID: horbacz.katarzyna Published as: Horbacz, Katarzyna; Horbacz, K. Documents Indexed: 37 Publications since 1989 Co-Authors: 8 Co-Authors with 20 Joint Publications 73 Co-Co-Authors all top 5 Co-Authors 17 single-authored 9 Czapla, Dawid 8 Szarek, Tomasz Jakub 8 Wojewódka-Ściążko, Hanna 5 Hille, Sander Cornelis 2 Bielaczyc, Tomasz 2 Myjak, Jozef Wenety 2 Wojewódka, Hanna 1 Ślȩczka, Maciej all top 5 Serials 6 Annales Polonici Mathematici 4 Journal of Mathematical Analysis and Applications 4 Journal of Statistical Physics 3 Stochastic Analysis and Applications 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Asymptotic Analysis 2 Bulletin of the Polish Academy of Sciences, Mathematics 1 Mathematical Methods in the Applied Sciences 1 Studia Mathematica 1 Zastosowania Matematyki 1 Chaos, Solitons and Fractals 1 Dissertationes Mathematicae 1 Journal of Applied Probability 1 Statistics & Probability Letters 1 Stochastic Processes and their Applications 1 Annales Mathématiques Blaise Pascal 1 Positivity 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 1 Qualitative Theory of Dynamical Systems 1 Mathematical Biosciences and Engineering 1 Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Acta Mathematica all top 5 Fields 27 Probability theory and stochastic processes (60-XX) 25 Dynamical systems and ergodic theory (37-XX) 15 Operator theory (47-XX) 7 Biology and other natural sciences (92-XX) 3 Ordinary differential equations (34-XX) 2 Measure and integration (28-XX) 2 Partial differential equations (35-XX) 2 Difference and functional equations (39-XX) 1 Number theory (11-XX) 1 Functional analysis (46-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 31 Publications have been cited 148 times in 59 Documents Cited by ▼ Year ▼ Existence of a unique invariant measure for a class of equicontinuous Markov operators with application to a stochastic model for an autoregulated gene. Zbl 1353.92042 Hille, Sander; Horbacz, Katarzyna; Szarek, Tomasz 16 2016 Ergodic properties of some piecewise-deterministic Markov process with application to gene expression modelling. Zbl 1440.60069 Czapla, Dawid; Horbacz, Katarzyna; Wojewódka-Ściążko, Hanna 10 2020 On stability of some general random dynamical system. Zbl 1125.37038 Horbacz, Katarzyna; Myjak, Józef; Szarek, Tomasz 10 2005 A useful version of the central limit theorem for a general class of Markov chains. Zbl 1432.60033 Czapla, Dawid; Horbacz, Katarzyna; Wojewódka-Ściążko, Hanna 9 2020 Invariant measures for random dynamical systems. Zbl 1157.37003 Horbacz, Katarzyna 9 2008 Limit theorems for some Markov chains. Zbl 1364.60089 Hille, Sander; Horbacz, Katarzyna; Szarek, Tomasz; Wojewódka, Hanna 8 2016 Random dynamical systems with jumps. Zbl 1091.47012 Horbacz, Katarzyna 8 2004 Invariant measures related with randomly connected Poisson driven differential equations. Zbl 1011.60036 Horbacz, Katarzyna 7 2002 The Strassen invariance principle for certain non-stationary Markov-Feller chains. Zbl 1472.35396 Czapla, Dawid; Horbacz, Katarzyna; Wojewódka-Ściążko, Hanna 7 2021 Equicontinuity and stability properties of Markov chains arising from iterated function systems on Polish spaces. Zbl 1338.60178 Czapla, Dawid; Horbacz, Katarzyna 5 2014 Law of large numbers for random dynamical systems. Zbl 1335.60036 Horbacz, Katarzyna; Ślȩczka, Maciej 5 2016 Continuous random dynamical systems. Zbl 1306.37054 Horbacz, Katarzyna 5 2013 Randomly connected dynamical systems on Banach spaces. Zbl 1062.47506 Horbacz, Katarzyna; Szarek, Tomasz 5 2001 Asymptotic stability of a semigroup generated by randomly connected Poisson driven differential equations. Zbl 1177.60058 Horbacz, Katarzyna 5 2006 Law of the iterated logarithm for some Markov operators. Zbl 1345.60023 Hille, Sander; Horbacz, Katarzyna; Szarek, Tomasz; Wojewódka, Hanna 4 2016 The central limit theorem for random dynamical systems. Zbl 1353.60022 Horbacz, Katarzyna 4 2016 Continuous iterated function systems on Polish spaces. Zbl 1062.47505 Horbacz, Katarzyna; Szarek, Tomasz 4 2001 Stability of random dynamical systems on Banach spaces. Zbl 1121.37037 Horbacz, Katarzyna; Myjak, Józef; Szarek, Tomasz 4 2006 Irreducible Markov systems on Polish spaces. Zbl 1108.60066 Horbacz, Katarzyna; Szarek, Tomasz 4 2006 Randomly connected dynamical systems - asymptotic stability. Zbl 0910.47003 Horbacz, Katarzyna 3 1998 Continuous dependence of an invariant measure on the jump rate of a piecewise-deterministic Markov process. Zbl 1473.60107 Czapla, Dawid; Hille, Sander C.; Horbacz, Katarzyna; Wojewódka-Ściążko, Hanna 3 2020 The law of the iterated logarithm for a piecewise deterministic Markov process assured by the properties of the Markov chain given by its post-jump locations. Zbl 1472.60125 Czapla, Dawid; Hille, Sander C.; Horbacz, Katarzyna; Wojewódka-Ściążko, Hanna 2 2020 Asymptotic stability of dynamical systems with multiplicative perturbations. Zbl 0703.47033 Horbacz, Katarzyna 2 1989 Exponential ergodicity in the bounded-Lipschitz distance for some piecewise-deterministic Markov processes with random switching between flows. Zbl 1478.60209 Czapla, Dawid; Horbacz, Katarzyna; Wojewódka-Ściążko, Hanna 2 2022 The Hausdorff dimension of invariant measures for random dynamical systems. Zbl 1293.37026 Bielaczyc, Tomasz; Horbacz, Katarzyna 1 2012 Strong law of large numbers for continuous random dynamical systems. Zbl 1347.60023 Horbacz, Katarzyna 1 2016 Invariant densities for one-dimensional random dynamical systems. Zbl 0772.58029 Horbacz, Katarzyna 1 1991 Dynamical systems with multiplicative perturbations: The strong convergence of measures. Zbl 0782.47007 Horbacz, Katarzyna 1 1993 Asymptotic stability of a system of randomly connected transformations on Polish spaces. Zbl 0982.47013 Horbacz, Katarzyna 1 2001 Pointwise and Renyi dimensions of an invariant measure of random dynamical systems with jumps. Zbl 1107.37010 Horbacz, Katarzyna 1 2006 On absolute continuity of invariant measures associated with a piecewise-deterministic Markov process with random switching between flows. Zbl 1473.60108 Czapla, Dawid; Horbacz, Katarzyna; Wojewódka-Ściążko, Hanna 1 2021 Exponential ergodicity in the bounded-Lipschitz distance for some piecewise-deterministic Markov processes with random switching between flows. Zbl 1478.60209 Czapla, Dawid; Horbacz, Katarzyna; Wojewódka-Ściążko, Hanna 2 2022 The Strassen invariance principle for certain non-stationary Markov-Feller chains. Zbl 1472.35396 Czapla, Dawid; Horbacz, Katarzyna; Wojewódka-Ściążko, Hanna 7 2021 On absolute continuity of invariant measures associated with a piecewise-deterministic Markov process with random switching between flows. Zbl 1473.60108 Czapla, Dawid; Horbacz, Katarzyna; Wojewódka-Ściążko, Hanna 1 2021 Ergodic properties of some piecewise-deterministic Markov process with application to gene expression modelling. Zbl 1440.60069 Czapla, Dawid; Horbacz, Katarzyna; Wojewódka-Ściążko, Hanna 10 2020 A useful version of the central limit theorem for a general class of Markov chains. Zbl 1432.60033 Czapla, Dawid; Horbacz, Katarzyna; Wojewódka-Ściążko, Hanna 9 2020 Continuous dependence of an invariant measure on the jump rate of a piecewise-deterministic Markov process. Zbl 1473.60107 Czapla, Dawid; Hille, Sander C.; Horbacz, Katarzyna; Wojewódka-Ściążko, Hanna 3 2020 The law of the iterated logarithm for a piecewise deterministic Markov process assured by the properties of the Markov chain given by its post-jump locations. Zbl 1472.60125 Czapla, Dawid; Hille, Sander C.; Horbacz, Katarzyna; Wojewódka-Ściążko, Hanna 2 2020 Existence of a unique invariant measure for a class of equicontinuous Markov operators with application to a stochastic model for an autoregulated gene. Zbl 1353.92042 Hille, Sander; Horbacz, Katarzyna; Szarek, Tomasz 16 2016 Limit theorems for some Markov chains. Zbl 1364.60089 Hille, Sander; Horbacz, Katarzyna; Szarek, Tomasz; Wojewódka, Hanna 8 2016 Law of large numbers for random dynamical systems. Zbl 1335.60036 Horbacz, Katarzyna; Ślȩczka, Maciej 5 2016 Law of the iterated logarithm for some Markov operators. Zbl 1345.60023 Hille, Sander; Horbacz, Katarzyna; Szarek, Tomasz; Wojewódka, Hanna 4 2016 The central limit theorem for random dynamical systems. Zbl 1353.60022 Horbacz, Katarzyna 4 2016 Strong law of large numbers for continuous random dynamical systems. Zbl 1347.60023 Horbacz, Katarzyna 1 2016 Equicontinuity and stability properties of Markov chains arising from iterated function systems on Polish spaces. Zbl 1338.60178 Czapla, Dawid; Horbacz, Katarzyna 5 2014 Continuous random dynamical systems. Zbl 1306.37054 Horbacz, Katarzyna 5 2013 The Hausdorff dimension of invariant measures for random dynamical systems. Zbl 1293.37026 Bielaczyc, Tomasz; Horbacz, Katarzyna 1 2012 Invariant measures for random dynamical systems. Zbl 1157.37003 Horbacz, Katarzyna 9 2008 Asymptotic stability of a semigroup generated by randomly connected Poisson driven differential equations. Zbl 1177.60058 Horbacz, Katarzyna 5 2006 Stability of random dynamical systems on Banach spaces. Zbl 1121.37037 Horbacz, Katarzyna; Myjak, Józef; Szarek, Tomasz 4 2006 Irreducible Markov systems on Polish spaces. Zbl 1108.60066 Horbacz, Katarzyna; Szarek, Tomasz 4 2006 Pointwise and Renyi dimensions of an invariant measure of random dynamical systems with jumps. Zbl 1107.37010 Horbacz, Katarzyna 1 2006 On stability of some general random dynamical system. Zbl 1125.37038 Horbacz, Katarzyna; Myjak, Józef; Szarek, Tomasz 10 2005 Random dynamical systems with jumps. Zbl 1091.47012 Horbacz, Katarzyna 8 2004 Invariant measures related with randomly connected Poisson driven differential equations. Zbl 1011.60036 Horbacz, Katarzyna 7 2002 Randomly connected dynamical systems on Banach spaces. Zbl 1062.47506 Horbacz, Katarzyna; Szarek, Tomasz 5 2001 Continuous iterated function systems on Polish spaces. Zbl 1062.47505 Horbacz, Katarzyna; Szarek, Tomasz 4 2001 Asymptotic stability of a system of randomly connected transformations on Polish spaces. Zbl 0982.47013 Horbacz, Katarzyna 1 2001 Randomly connected dynamical systems - asymptotic stability. Zbl 0910.47003 Horbacz, Katarzyna 3 1998 Dynamical systems with multiplicative perturbations: The strong convergence of measures. Zbl 0782.47007 Horbacz, Katarzyna 1 1993 Invariant densities for one-dimensional random dynamical systems. Zbl 0772.58029 Horbacz, Katarzyna 1 1991 Asymptotic stability of dynamical systems with multiplicative perturbations. Zbl 0703.47033 Horbacz, Katarzyna 2 1989 all cited Publications top 5 cited Publications all top 5 Cited by 68 Authors 20 Horbacz, Katarzyna 11 Czapla, Dawid 11 Wojewódka-Ściążko, Hanna 9 Hille, Sander Cornelis 7 Szarek, Tomasz Jakub 5 Kapica, Rafał 4 Ślȩczka, Maciej 3 Kubieniec, Joanna 2 Alkurdi, Taleb 2 Bielaczyc, Tomasz 2 Komorek, Dawid 2 Kukulski, Ryszard 2 Myjak, Jozef Wenety 2 Stachurski, John 2 van Gaans, Onno Ward 2 Wang, Ya 2 Werner, Ivan 2 Worm, Daniël T. H. 2 Wu, Fuke 2 Ziemlańska, Maria Aleksandra 1 Bangura, Raymond Manna 1 Bao, Jianhai 1 Baron, Karol 1 Berglund, Nils 1 Bessaih, Hakima 1 Bick, Christian 1 Bugiel, Peter 1 Cuny, Christophe 1 Czudek, Klaudiusz 1 de Graaf, W. F. 1 Dedecker, Jérôme 1 Diekmann, Odo 1 Ding, Jiu 1 Engel, Maximilian 1 Gao, Bing 1 Han, Dandan 1 Hurth, Tobias 1 Iuorio, Annalisa 1 Jin, Congming 1 Jørgensen, Palle E. T. 1 Kretzschmar, Mirjam 1 Kühn, Christian 1 Kumar, Somesh 1 Merlevède, Florence 1 Min, Lequan 1 Morawiec, Janusz 1 Nouri, Kazem 1 Ranjbar, Hassan 1 Rzepka, Beata 1 Singh, Deepak Kumar 1 Soresina, Cinzia 1 Suo, Yongqiang 1 Tao, Jin 1 Teunis, P. F. M. 1 Theewis, Esmée S. 1 Tian, Feng 1 Torkzadeh, Leila 1 Vellaisamy, Palaniappan 1 Wang, Jian 1 Wedrychowicz, Stanislaw 1 Wojewódka, Hanna 1 Xiao, Yingqing 1 Yang, Xiuping 1 Yin, George Gang 1 Zang, Hongyan 1 Zhang, Shuqin 1 Zhang, Wei 1 Zhu, Chao all top 5 Cited in 42 Serials 6 Journal of Mathematical Analysis and Applications 4 Journal of Statistical Physics 3 Stochastic Processes and their Applications 3 Annales Mathematicae Silesianae 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Results in Mathematics 2 Statistics & Probability Letters 2 Stochastic Analysis and Applications 2 Qualitative Theory of Dynamical Systems 1 Israel Journal of Mathematics 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Chaos, Solitons and Fractals 1 The Annals of Probability 1 Colloquium Mathematicum 1 Journal of Applied Probability 1 Journal of Approximation Theory 1 Journal of Differential Equations 1 Journal of Economic Theory 1 Journal of Mathematical Economics 1 Semigroup Forum 1 Ergodic Theory and Dynamical Systems 1 Probability and Mathematical Statistics 1 Physica D 1 Asymptotic Analysis 1 Forum Mathematicum 1 Aequationes Mathematicae 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Potential Analysis 1 Journal of Difference Equations and Applications 1 Bernoulli 1 Discrete and Continuous Dynamical Systems 1 Mathematical Problems in Engineering 1 Positivity 1 Communications in Nonlinear Science and Numerical Simulation 1 Dynamical Systems 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Mathematical Biosciences and Engineering 1 Frontiers of Mathematics in China 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Nonlinear Analysis all top 5 Cited in 20 Fields 48 Probability theory and stochastic processes (60-XX) 39 Dynamical systems and ergodic theory (37-XX) 11 Operator theory (47-XX) 7 Biology and other natural sciences (92-XX) 5 Ordinary differential equations (34-XX) 5 Functional analysis (46-XX) 3 Numerical analysis (65-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Difference and functional equations (39-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year