粒子系統的大離差行為

Hsuan-Chih Lin; 林軒馳

請用此 Handle URI 來引用此文件： http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/30025

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DC 欄位	值	語言
dc.contributor.advisor	張志中(Chih-Chung Chang)
dc.contributor.author	Hsuan-Chih Lin	en
dc.contributor.author	林軒馳	zh_TW
dc.date.accessioned	2021-06-13T01:31:20Z	-
dc.date.available	2007-07-19
dc.date.copyright	2007-07-19
dc.date.issued	2007
dc.date.submitted	2007-07-17
dc.identifier.citation	[1] C, Kipnis, S. Olla, S.R.S Varadhan, Hydrodynamics and large deviations for simple exclusion process. Comm. Pure Appl. Math., 42 (1989), 115-137. [2] M.D. Donsker, S.R.S. Varadhan, Large deviations from a hydrodynamic scaling limit. Comm. Pure Appl. Math., 42 (1989), 243-270. [3] S.R.S. Varadhan, Nonlinear diffusion limit for a system with nearest neighbor interations II. Asymptotic Problems in Probability Theory; Stochastic Models and Diffusions on Fractals. Proceedings of the Taniguchi Symposium, Sanda and Kyoto (1990), 75-130. Longman, Essex, England. [4] J. Quastel, Large Deviations From Hydrodynamic Scaling Limit for A Non-Gradient System. The Annals of Probability., 23 (1995), 724-742. [5] C, Kipnis, C. Landim, S. Olla, Hydrodynamical Limit for a Nongradient System: The Generalized Symmetric Exclusion Process. Comm. Pure Appl. Math., 47 (1994), 1475-1545. [6] O. Benois, C. Kipnis, C. Landim, Large deviations from the hydrodynamic limit of mean zero asymmetric zero range processes. Stochastic Processes and theire applications., 55 (1995), 65-89. [7] P. B´enilan, H. Tour´e, Sur l’´equation g´en´erale ut = ϕ(u)xx¡ψ(u)x+ ν.C.R.. Acad. Sci. Paris S´er. 1, 299(18) (1984) [8] Claude Kipnis, Claudio Landim, Scaling Limits of Interacting Particle Systems. Springer, (1999)
dc.identifier.uri	http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/30025	-
dc.description.abstract	在這篇文章中，我們研究對稱交互作用粒子系統的大離差行為。 Kipnis, et al.於1994年將導出一般性簡單對稱互斥過程流力極限的行為，本篇文章研究此互斥過程流力極限的大離差行為。	zh_TW
dc.description.abstract	In the present article, we study the large deviation property of the generalized symmetric exclusion process. Once the hydrodynamic limit, which corresponds to a space-time law of large numbers type result, of a Markov process has been established, a natural step is to consider the large deviations from the limit. Kipnis, et al. derived the hydrodynamic limit of a generalized symmetric exclusion process, which is a non-gradient system. We then derive the large deviation principle of this model.	en
dc.description.provenance	Made available in DSpace on 2021-06-13T01:31:20Z (GMT). No. of bitstreams: 1 ntu-96-R94221012-1.pdf: 343407 bytes, checksum: e627b67f6c8a708eeb23e76e868ba44a (MD5) Previous issue date: 2007	en
dc.description.tableofcontents	口試委員會審定書……………………………………………… i 誌謝………… …………………………………………………… ii 中文摘要………………………………………………… iii 英文摘要…………………………………………………………… iv 1. Introduction ……………………………………………… 1 2. Notation and Results ………………………………… …… 1 3. Upper Bound ………………………………………………… 5 4. Hydrodynamic Limit for a Weakly Perturbed Process …12 5. Lower Bound ……………………………………………………17 參考文獻…………………………………………………………… 19
dc.language.iso	en
dc.subject	大離差行為	zh_TW
dc.subject	交互作用粒子系統	zh_TW
dc.subject	Large Deviation	en
dc.subject	Generalized Symmetric Exclusion Process	en
dc.subject	Hydrodynamic Limit	en
dc.title	粒子系統的大離差行為	zh_TW
dc.title	Large Deviations from the Hydrodynamic Limit of the Generalized Symmetric Exclusion Process	en
dc.type	Thesis
dc.date.schoolyear	95-2
dc.description.degree	碩士
dc.contributor.oralexamcommittee	姜祖恕,謝南瑞
dc.subject.keyword	交互作用粒子系統,大離差行為,	zh_TW
dc.subject.keyword	Large Deviation,Hydrodynamic Limit,Generalized Symmetric Exclusion Process,	en
dc.relation.page	19
dc.rights.note	有償授權
dc.date.accepted	2007-07-17
dc.contributor.author-college	理學院	zh_TW
dc.contributor.author-dept	數學研究所	zh_TW
顯示於系所單位：	數學系

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