caa a22 4500 467892687 CHVBK 20180406152753.0 cr unu---uuuuu 170328e20060301xx s 000 0 eng 10.1007/s10955-005-9017-3 doi (NATIONALLICENCE)springer-10.1007/s10955-005-9017-3 Horbacz Katarzyna Institute of Mathematics, Silesian University, ul. Bankowa 14, 40-007, Katowice, Poland aut Pointwise and Renyi Dimensions of an Invariant Measure of Random Dynamical Systems with Jumps [Elektronische Daten] [Katarzyna Horbacz] We estimate the lower pointwise dimension and the generalized Renyi dimension of an invariant measure of random dynamical systems with jumps. It is worthwhile to note that the dimensions are a useful tool in studying the Hausdorff dimension of measures and sets. Our model generalizes Markov processes corresponding to iterated function systems and Poisson driven stochastic differential equations. It can be used as a description of many physical and biological phenomena. Springer Science + Business Media, Inc., 2006 Dynamical systems nationallicence Markov semigroup nationallicence invariant measure nationallicence pointwise and Renyi dimension nationallicence Journal of Statistical Physics Springer US; http://www.springer-ny.com 122/5(2006-03-01), 1041-1059 0022-4715 122:5<1041 2006 122 10955 https://doi.org/10.1007/s10955-005-9017-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-005-9017-3 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Horbacz Katarzyna Institute of Mathematics, Silesian University, ul. Bankowa 14, 40-007, Katowice, Poland aut NATIONALLICENCE 773 0- Journal of Statistical Physics Springer US; http://www.springer-ny.com 122/5(2006-03-01), 1041-1059 0022-4715 122:5<1041 2006 122 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer