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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/30025Full metadata record
| ???org.dspace.app.webui.jsptag.ItemTag.dcfield??? | Value | Language |
|---|---|---|
| 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 |
| Appears in Collections: | 數學系 | |
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| File | Size | Format | |
|---|---|---|---|
| ntu-96-1.pdf Restricted Access | 335.36 kB | Adobe PDF |
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