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Author ID: horbacz.katarzyna Recent zbMATH articles by "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

Publications by Year

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 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

Citations by Year