naa a22 4500 510783228 CHVBK 20180411083254.0 cr unu---uuuuu 180411e20130301xx s 000 0 eng 10.1007/s11856-012-0089-x doi (NATIONALLICENCE)springer-10.1007/s11856-012-0089-x Reeve Henry Department of Mathematics, The University of Bristol University Walk, BS8 1TW, Clifton, Bristol, UK aut Infinite non-conformal iterated function systems [Elektronische Daten] [Henry Reeve] We consider a class of iterated function systems consisting of a countable infinity of non-conformal contractions, extending both the self-affine limit sets of Lalley and Gatzouras as well as the infinite iterated function systems of Mauldin and Urbański. Natural examples include the sets of points in the plane obtained by taking the binary expansion along the vertical and the continued fraction expansion along the horizontal and deleting certain pairs of digits. We prove that the Hausdorff dimension of the limit set is equal to the supremum of the dimensions of compactly supported ergodic measures, which are given by a Ledrappier and Young type formula. In addition we consider the multifractal analysis of Birkhoff averages for countable families of potentials. We obtain a conditional variational principle for the level sets. Hebrew University Magnes Press, 2012 Israel Journal of Mathematics The Hebrew University Magnes Press 194/1(2013-03-01), 285-329 0021-2172 194:1<285 2013 194 11856 https://doi.org/10.1007/s11856-012-0089-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11856-012-0089-x text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Reeve Henry Department of Mathematics, The University of Bristol University Walk, BS8 1TW, Clifton, Bristol, UK aut NATIONALLICENCE 773 0- Israel Journal of Mathematics The Hebrew University Magnes Press 194/1(2013-03-01), 285-329 0021-2172 194:1<285 2013 194 11856 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer