Random affine code tree fractals: Hausdorff and affinity dimensions and pressure

Autor:	Järvenpää, Esa, Järvenpää, Maarit, Wu, Meng, Wu, Wen
Rok vydání:	2015
Předmět:	Mathematics - Dynamical Systems Mathematics - Classical Analysis and ODEs 37C45 28A80 15A45
Druh dokumentu:	Working Paper
DOI:	10.1017/S0305004116000694
Popis:	We prove that for random affine code tree fractals the affinity dimension is almost surely equal to the unique zero of the pressure function. As a consequence, we show that the Hausdorff, packing and box counting dimensions of such systems are equal to the zero of the pressure. In particular, we do not presume the validity of the Falconer-Sloan condition or any other additional assumptions which have been essential in all the previously known results. Comment: 16 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1510.02827 Zobrazit plný text záznamu View this record from Arxiv