在Sofic Shift上的多重碎型分析 ; Multi-fractal Analysis for Sofic Shift

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/48282

Title:	在Sofic Shift上的多重碎型分析;Multi-fractal Analysis for Sofic Shift
Authors:	陳玎如;Ting-Ju Chen
Contributors:	數學研究所
Keywords:	Sofic 系統;Gibbs-like 測度;有限逼近法;譜維度;sofic system;Gibbs-like measure;cut-off method;Dimension spectrum
Date:	2011-06-27
Issue Date:	2012-01-05 14:43:45 (UTC+8)
Abstract:	在本篇論文中，我們研究矩陣值勢能在sofic 系統上的譜維度。考慮跟有限座標有關的正矩陣值勢能，透過建構quasi-Bernoulli測度得到譜維度，而且利用有限逼近的方法，我們可以把結論推廣到跟無限座標有關的矩陣值勢能的情況上。最後，我們給一個可以確切算出譜維度的例子。 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.
Appears in Collections:	[Graduate Institute of Mathematics] Electronic Thesis & Dissertation

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