caa a22 4500 475738640 CHVBK 20180406123453.0 cr unu---uuuuu 170329e20001201xx s 000 0 eng 10.1007/s002220000100 doi (NATIONALLICENCE)springer-10.1007/s002220000100 Harmonic measure and expansion on the boundary of the connectedness locus [Elektronische Daten] [Jacek Graczyk, Grzegorz Świątek] Abstract. : The paper develops a technique for proving properties that are typical in the boundary of the connectedness locus with respect to the harmonic measure. A typical expansion condition along the critical orbit is proved. This condition implies a number of properties, including the Collet-Eckmann condition, Hausdorff dimension less than 2 for the Julia set, and the radial continuity in the parameter space of the Hausdorff dimensions of totally disconnected Julia sets. Springer-Verlag Berlin Heidelberg, 2000 Graczyk Jacek Department of Mathematics, Royal Institute of Technology, 100 44 Stockholm, Sweden, Sweden aut Świątek Grzegorz Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA, USA aut Inventiones mathematicae Springer Berlin Heidelberg 142/3(2000-12-01), 605-629 0020-9910 142:3<605 2000 142 222 https://doi.org/10.1007/s002220000100 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s002220000100 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Graczyk Jacek Department of Mathematics, Royal Institute of Technology, 100 44 Stockholm, Sweden, Sweden aut NATIONALLICENCE 700 1- Świątek Grzegorz Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA, USA aut NATIONALLICENCE 773 0- Inventiones mathematicae Springer Berlin Heidelberg 142/3(2000-12-01), 605-629 0020-9910 142:3<605 2000 142 222 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer