請用此 Handle URI 來引用此文件：
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/58166完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 王藹農(Ai-Nung Wang) | |
| dc.contributor.author | Po-Chen Shih | en |
| dc.contributor.author | 施柏丞 | zh_TW |
| dc.date.accessioned | 2021-06-16T08:07:19Z | - |
| dc.date.available | 2014-07-08 | |
| dc.date.copyright | 2014-07-08 | |
| dc.date.issued | 2014 | |
| dc.date.submitted | 2014-06-11 | |
| dc.identifier.citation | [1] R.J. GARDNER, The Brunn-Minkowski inequality. Bulletin of the American
Mathematical Society (2001) vol 39, n 3, 355-405 [2] M. Bonnefont, A discrete version of the Brunn-Minkowski inequality and its stability, Ann. Math. Blaise Pascal, 16 (2009), 245-257. [3] K.T.STURM, On the geometry of metric measure space I. Acta Math., vol.196 (2006), 65-131. [4] K.T.STURM, On the geometry of metric measure space II. Acta Math., vol.196 (2006), 133-177. [5] A.I. Bonciocat and K.T. Sturm, Mass transportation and rough curvature bounds for discrete space. Journal of Analysis 256 (2009), 2944-2966. [6] D.Burago, Y.Burago and S.Ivanov, A course in metric geometry. Graduate Studies in Mathematics 33. American Mathematical Society, Providence, RI.(2001). | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/58166 | - |
| dc.description.abstract | 在本論文中，我們會先定義一個Brunn-Minkowski不等式。然後我們在第一部
分中首先證明它會收斂。在第二部分中，我們會證明一個離散型式的metric space 也會滿足Brunn-Minkowski不等式。 | zh_TW |
| dc.description.abstract | In the rst part of the paper, we give a new de nition of Brunn-
Minkowski inequality in metric measure space. Then we show the stability of Brunn-Minkowski inequality under a convergence of metric measure space. This result gives as a corollary the stability of the classical Brunn- Minkowski inequality for geodesic spaces. In the second part, we show that every metric measure space satisfying Brunn-Minkowski inequality can be approximated by discrete space with some approximated Brunn-Minkowski inequalities. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-16T08:07:19Z (GMT). No. of bitstreams: 1 ntu-103-R99221029-1.pdf: 467941 bytes, checksum: 6873c5b7767011e144955d4dc49a04ad (MD5) Previous issue date: 2014 | en |
| dc.description.tableofcontents | 口試委員會審定書……………………………………………………………… i
中文摘要………………………………………………………………………… ii 1. Introduction………………………………………………………………….. 1 2. Stability of Brunn-Minkowski inequality………..............………………….. 2 3. Discretization of metric space.............................................................. 6 參考文獻…………………………………………………………………….…… 8 | |
| dc.language.iso | en | |
| dc.subject | Brunn-Minkowski 不等式 | zh_TW |
| dc.subject | Brunn-Minkowski inequality | en |
| dc.title | 離散型的Brunn Minkowski不等式綜覽 | zh_TW |
| dc.title | A survey of discrete version of Brunn Minkowski inequality | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 102-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 薛克民(Keh-Ming Shyue),張樹城(Shu-Cheng Chang) | |
| dc.subject.keyword | Brunn-Minkowski 不等式, | zh_TW |
| dc.subject.keyword | Brunn-Minkowski inequality, | en |
| dc.relation.page | 8 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2014-06-11 | |
| 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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|---|---|---|---|
| ntu-103-1.pdf 未授權公開取用 | 456.97 kB | Adobe PDF |
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