Capacity of invariant measures related to Poisson-driven stochastic differential equations

Józef Myjak, Tomasz Szarek

Type: Article

Publication Date: 2003-01-13

Citations: 8

DOI: https://doi.org/10.1088/0951-7715/16/2/305

View Publication

Locations

Nonlinearity - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Hausdorff dimension of invariant measures related to Poisson driven stochastic differential equations	2011	Tomasz Bielaczyc
+	Invariant measures related with Poisson driven stochastic differential equation	2003	Andrzej Lasota Janusz Traple
+	The pointwise dimension for invariant measures related with Poisson driven stochastic differential equations	2002	Tomasz Z. Szarek
+	Markov semigroups generated by a Poisson driven differential equation	2002	Tomasz Szarek Stanisław Wędrychowicz
+	ERGODIC SOLUTIONS OF STOCHASTIC DIFFERENTIAL EQUATIONS AND RELATED TOPICS	1985	P. Sundar
+ PDF Chat	Invariant measures of Lévy-type operators and their associated Markov processes	2024	Anita Behme David Oechsler
+	Theory and Applications of Stochastic Differential Equations.	1984	Maury Bramson Z. Schuss
+ PDF Chat	Certain invariant sets of stochastic flows generated by stochastic differential equations	1992	Takao Masuda
+	Asymptotic stability of a semigroup generated by randomly conneted poisson driven differential equations	2006	Katarzyna Horbacz
+	Ergodicity of Stochastic Differential Equations Driven by Fractional Brownian Motion	2003	Martin Hairer
+	Uniqueness of Invariant Measures of Infinite Dimensional Stochastic Differential Equations Driven by Lévy Noises	2011	Bin Xie
+	A Class of Stochastic Differential Equations	2007
+ PDF Chat	Harnack-Type Inequalities and Applications for SDE Driven by Fractional Brownian Motion	2014	Xiliang Fan
+ PDF Chat	Poisson stability of solutions for stochastic evolution equations driven by fractional Brownian motion	2024	Xinze Zhang Xue Yang
+	Invariant measures for stochastic functional differential equations	2017	Oleg Butkovsky Michael Scheutzow
+	Stochastic Differential Equations: Theory and Applications.	1976	P. Whittle Ludwig Arnold
+	Introduction to special issue on theory and application of stochastic differential equations	1990	T. E. Unny
+	Poisson stable solutions for stochastic functional evolution equations with infinite delay	2023	Shuaishuai Lu Xue Yang
+	Stochastic Differential Equations.	1974	Eric Renshaw Iosif Il’ich Gihman A. V. Skorohod K. Wickwire
+ PDF Chat	Ergodicity and Kolmogorov Equations for Dissipative SPDEs with Singular Drift: a Variational Approach	2018	Carlo Marinelli Luca Scarpa

Works That Cite This (7)

Action	Title	Year	Authors
+ PDF Chat	Exponential ergodicity of some Markov dynamical systems with application to a Poisson-driven stochastic differential equation	2018	Dawid Czapla Joanna Kubieniec
+	The Hausdorff dimension of invariant measures for random dynamical systems	2012	Tomasz Bielaczyc Katarzyna Horbacz
+	Pointwise and Renyi Dimensions of an Invariant Measure of Random Dynamical Systems with Jumps	2006	Katarzyna Horbacz
+	Dimension of invariant measures for continuous random dynamical systems	2016	Tomasz Bielaczyc Katarzyna Horbacz
+	Some New Concepts of Dimension	2007	Józef Myjak
+ PDF Chat	Hausdorff dimension of invariant measures related to Poisson driven stochastic differential equations	2011	Tomasz Bielaczyc
+ PDF Chat	Piecewise-deterministic Markov processes	2013	Jolanta Kazak

Works Cited by This (10)

Action	Title	Year	Authors
+ PDF Chat	The stability of Markov operators on Polish spaces	2000	Tomasz Szarek
+ PDF Chat	Invariant measures for Markov operators with application to function systems	2003	Tomasz Szarek
+	Markov semigroups generated by a Poisson driven differential equation	2002	Tomasz Szarek Stanisław Wędrychowicz
+ PDF Chat	On the stability of the cell size distribution	1984	Odo Diekmann H.J.A.M. Heijmans Horst R. Thieme
+	On rigorous mathematical definitions of correlation dimension and generalized spectrum for dimensions	1993	Ya. B. Pesin
+ PDF Chat	Some relations between dimension and Lyapounov exponents	1981	F. Ledrappier
+ PDF Chat	Growth, fission and the stable size distribution	1983	Odo Diekmann H.A. Lauwerier Tom Aldenberg J.A.J. Metz
+	Invariant measures related with Poisson driven stochastic differential equation	2003	Andrzej Lasota Janusz Traple
+ PDF Chat	Dimension, entropy and Lyapunov exponents	1982	Lai-Sang Young
+	Random point processes	1975	Donald L. Snyder