7 citations · 28 across the 12 of their papers we have counts for
12 papers
On the Carathéodory approach to the construction of a measure
Ivan Werner
The Carathéodory theorem on the construction of a measure is generalized by replacing the outer measure with an approximation of it and generalizing the Carathéodory measurability.…
Lower bounds for the dynamically defined measures
Ivan Werner
The dynamically defined measure (DDM) arising from a finite measure on an initial -algebra on a set and an invertible map acting on the latter is considered. Several l…
Erratum: Coding map for a contractive Markov system
Ivan Werner
An error in the proof of Lemma 2 (ii) in [I. Werner, Math. Proc. Camb. Phil. Soc. 140(2) 333-347 (2006)], which claims the absolute continuity of dynamically defined measures (DDM)…
Equilibrium states and invariant measures for random dynamical systems
Ivan Werner
Random dynamical systems with countably many maps which admit countable Markov partitions on complete metric spaces such that the resulting Markov systems are uniformly continuous…
Dynamically defined measures and equilibrium states
Ivan Werner
A technique of dynamically defined measures is developed and its relation to the theory of equilibrium states is shown. The technique uses Caratheodory's method and the outer measu…
Fundamental Markov systems
Ivan Werner
We continue development of the theory of Markov systems initiated in \cite{Wer1}. In this paper, we introduce fundamental Markov systems associated with random dynamical systems an…