Zakład
Teorii Prawdopodobieństwa
Instytut
Matematyki
Uniwersytet
Śląski
Katarzyna Horbacz
– Spis publikacji
Artykuły naukowe:
- Dynamical systems with multiplicative perturbations,
Ann. Polon. Math.
50 (1989), 11--26.
- Asymptotic stability of dynamical systems with
multiplicative perturbations,
Ann. Polon. Math.
50 (1989), 209--218.
- Statistical properties of the Ejgielies model
of a cogged bit,
Applicationes Mathematicae
21.1 (1991), 15--26.
- Invariant densities for one-dimensional random dynamical systems,
Univ. Iagell. Acta Math.
28 (1991), 101--106.
- Weak and strong asymptotic stability,
Bull. Polish Acad. Sci. Math.
40.1 (1992), 271--282.
- Dynamical systems with multiplicative perturbations:
The strong convergence of measures,
Ann. Polon. Math.
58 (1993), 85--93.
- Randomly connected dynamical systems -- asymptotic stability,
Ann. Polon. Math.
68.1 (1998), 31--50.
- Randomly connected dynamical systems on Banach spaces,
Stoch. Anal. Appl.
19.4 (2001), 519--543.
- with T. Szarek, Continuous iterated function systems on Polish spaces,
Bull. Polish Acad. Sci. Math.
49.2 (2001), 191--202.
- Asymptotic stability of a system of randomly connected transformations
on Polish spaces,
Ann. Polon. Math.
76.3 (2001), 197--211.
- Randomly connected differential equations with Poisson type perturbations,
Nonlinear Studies
9.1 (2002), 81--98.
- Invariant measures related with randomly connected Poisson driven
differential equations,
Ann. Polon. Math.
79.1 (2002), 31--44 .
- Random dynamical systems with jumps,
J. Appl. Probab.
41 (2004), 890--910.
- with J. Myjak and T. Szarek,
On stability of some general random dynamical system,
J. Statist. Phys. 119 (2005), 35--60.
- with J. Myjak and T. Szarek,
Stability of random dynamical systems on Banach spaces,
Positivity
10.3 (2006), 517--538.
- Asymptotic stability of a semigroup generated by randomly connected Poisson driven differential
equations,
Boll. Uni. Mat. Ital.
(8) 9-B
(2006),
545--566.
- Pointwise and Rényi dimensions of an invariant measures of random dynamical
systems with jumps,
J. Statist. Phys. 122.5 (2006), 1041--1059.
- with T. Szarek, Irreducible Markov systems on Polish spaces, Studia Math. 177.3 (2006), 285--295.
- Invariant measures for random dynamical systems, Dissertationes Math. 451 (2008).
- with T. Bielaczyc, The Hausdorff dimension of invariant measures for random dynamical systems,
J. Math. Anal. Appl. 391 (2012), 298--311.
- Continuous random dynamical systems, J. Math. Anal. Appl. 408 (2013), 623--637.
- Stability of the heat equation driven by an impulsive noise,
Chaos, Solitons and Fractals, 57 (2013), 1--8.
- with D. Czapla,
Equicontinuity and Stability Properties of Markov Chains Arising from Iterated Function Systems on Polish Spaces,
Stoch. Anal. Appl. 32.1 (2014), 1--29.
- with T. Bielaczyc,
Dimensions of invariant measures for continuous random dynamical systems,
AIP Conference Proceedings 1648, 850025 (2015).
- with M. Ślęczka, Law of Large Numbers for Random Dynamical Systems,
J. Statist. Phys. 162 (2016), 671--684 (DOI 10.1007/s10955-015-1423-6).
- with S. Hille, T. Szarek and H. Wojewódka,
Law of the iterated logarithm for some Markov operators,
Asymptotic Analysis 97 (2016), 91--112 (DOI: 10.3233/ASY-151344).
- with T. Bielaczyc,
Dimensions of invariant measures for continuous random dynamical systems.
Math. Meth. Appl. Sci. 39 (2016), 3947--3960 (DOI: 10.1002/mma.3836).
- with D. Czapla,
The stability of Markov chains with partially equicontinuous transition structure,
AIP Conference Proceedings 1738, 480039 (2016) (DOI: 10.1063/1.4952275).
- with S. Hille, T. Szarek, H. Wojewódka,
Limit theorems for some Markov operators,
J. Math. Anal. Appl. 443 (2016), 385--408.
- Strong law of large numbers for continuous random dynamical systems, Statistics and Probability Letters 118 (2016), 70--79.
- The Central Limit Theorem for Random Dynamical Systems, Journal of Statistical Physics 164 (2016), 1261-1291 (DOI: 10.1007/s10955-016-1601-1) .
- with S. Hille, T. Szarek,
Existence of a unique invariant measure for a class of equicontinuous Markov operators with application to a stochastic model for an autoregulated gene,
accepted for publication by Annales Mathématiques Blaise Pascal.
- The Central Limit Theorem for Continuous Random Dynamical Systems,
AIP Conference Proceedings 1863, 560026 (2017) (DOI: 10.1063/1.4992709) .
Katowice, Sierpień 2017
[STRONA GŁÓWNA]
[CV] [ZAKŁAD TEORII PRAWDOPODOBIEŃSTWA]