厄任菲斯特甕的相變現象

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DC Field	Value	Language
dc.contributor.author	范揚仁	en_US
dc.contributor.author	Fan, Yang-Jen	en_US
dc.contributor.author	陳冠宇	en_US
dc.contributor.author	Chen, Guan-Yu	en_US
dc.date.accessioned	2014-12-12T01:49:35Z	-
dc.date.available	2014-12-12T01:49:35Z	-
dc.date.issued	2010	en_US
dc.identifier.uri	http://140.113.39.130/cdrfb3/record/nctu/#GT079822503	en_US
dc.identifier.uri	http://hdl.handle.net/11536/47504	-
dc.description.abstract	本論文主要為研究厄任菲斯特甕的相變現象，並證明了此現象存在性的等價條件。資料來源起於指導教授陳冠宇於2010年發表在Journal of Functional Analysis的文章The -cutoff for reversible Markov processes，而此文章已證明厄任菲斯特甕的相變存在性之充分條件。利用相變現象的存在性定義，我們先是證明了其不存在的充分條件。借此我們去證明原命題的逆否命題為真。	zh_TW
dc.description.abstract	The main work of this thesis was giving a equivalent condition of the total variation cutoff for Ehrenfest chains. The source of the question came from my advisor Dr. Chen who had punished the paper, “The -cutoff for reversible Markov processes”, in Journal of Functional Analysis on 2010. And the paper had proven the sufficient condition of the total variation cutoff. We derived the sufficient condition for no cutoffs. Therefore, we proved the contrapositive true.	en_US
dc.language.iso	en_US	en_US
dc.subject	相變	zh_TW
dc.subject	cutoff	en_US
dc.title	厄任菲斯特甕的相變現象	zh_TW
dc.title	The Total Variation Cutoff For Ehrenfest Chains	en_US
dc.type	Thesis	en_US
dc.contributor.department	應用數學系所	zh_TW
Appears in Collections:	Thesis

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