Multi-fractal Analysis for Sofic Shift

Autor: Ting-Ju Chen, 陳玎如
Rok vydání: 2011
Druh dokumentu: 學位論文 ; thesis
Popis: 99
We study the dimension spectrum of sofic system with the potential which is matrix-valued. For positive and finite-coordinate dependent matrix potential, we set up the dimension spectrum by constructing the quasi-Bernoulli measure and the cut-off method is applied to deal with the infinite-coordinate dependent case. Finally, we give an example which we can compute the spectrum concretely.
Databáze: Networked Digital Library of Theses & Dissertations