caa a22 4500 467892318 CHVBK 20180406152752.0 cr unu---uuuuu 170328e20060101xx s 000 0 eng 10.1007/s10955-005-8013-4 doi (NATIONALLICENCE)springer-10.1007/s10955-005-8013-4 Contracting on Average Random IFS with Repelling Fixed Point [Elektronische Daten] [Ai Fan, Károly Simon, Hajnal Tóth] We consider random iterated function systems which consist of strictly increasing and (not necessarily strictly) convex functions on a compact interval or on a half line. We assume that the system is contracting on average in a sense which is wide enough to permit the existence of a common fixpoint at which some functions of the system are expanding and perhaps none of them are contracting (see Fig. 1). We prove that the Hausdorff dimension of any of the possibly uncountably many invariant measures is smaller than or equal to the accumulated entropy divided by the Liapunov exponent. Springer Science + Business Media, Inc., 2006 Hausdorff dimension nationallicence Contracting on average nationallicence Fan Ai Department of Mathematics, Wuhan University, 430072, Wuhan, China aut Simon Károly Institute of Mathematics, Technical University of Budapest, H-1529 B.O.box 91, Hungary aut Tóth Hajnal CNRS UMR 6140, University of Picardie, 33 Rue Saint Leu, 80039, Amiens, France aut Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers 122/1(2006-01-01), 169-193 0022-4715 122:1<169 2006 122 10955 https://doi.org/10.1007/s10955-005-8013-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-005-8013-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Fan Ai Department of Mathematics, Wuhan University, 430072, Wuhan, China aut NATIONALLICENCE 700 1- Simon Károly Institute of Mathematics, Technical University of Budapest, H-1529 B.O.box 91, Hungary aut NATIONALLICENCE 700 1- Tóth Hajnal CNRS UMR 6140, University of Picardie, 33 Rue Saint Leu, 80039, Amiens, France aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers 122/1(2006-01-01), 169-193 0022-4715 122:1<169 2006 122 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer