English  |  正體中文  |  简体中文  |  Post-Print筆數 : 27 |  全文笔数/总笔数 : 110944/141864 (78%)
造访人次 : 48069965      在线人数 : 710
RC Version 6.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.
搜寻范围 查询小技巧：
  • 您可在西文检索词汇前后加上"双引号"，以获取较精准的检索结果
  • 若欲以作者姓名搜寻，建议至进阶搜寻限定作者字段，可获得较完整数据
    •  进阶搜寻


    请使用永久网址来引用或连结此文件: https://nccur.lib.nccu.edu.tw/handle/140.119/115028


    题名: 高維度下具長域自我相斥隨機漫步，滲流與 Ising模型的兩點函數之臨界行為
    作者: 陳隆奇
    贡献者: 應用數學學系
    关键词: 滲流;自我相斥隨機漫步;Ising;模型;兩點函數;臨界行為;Lace;展開;大分差;Berry–Esseen定理
    percolation;self-avoiding walk;Ising model;critical behavior;Lace expansion;Large derivation;Berry-Esseen theorem
    日期: 2013
    上传时间: 2017-12-05 16:37:29 (UTC+8)
    摘要: 在這此次計劃中， 我研究重心放在研究在高維度下具長域定向滲流，自我相斥隨機漫步與Ising 模型之兩點函數的臨界與漸進行為，此問題是與北海道大學數學系Akira Sakai教授合作的文章， 我們獲得兩點函數在臨界行為的收斂速度與漸進行為，並於2015年刊登在Ann. Prob. 期刊上，並且我們持續研究此類問題。 此外本人與成大物理系張書銓教授探討在二維三角晶格與蜂窩狀晶格上特殊的定向滲流之兩點函數的臨界行為與收斂速度也有兩篇文章分別發表于 J. Stat. Phys. 和 Physica A， 我們獲得在特殊的模型下兩點函數之收斂速度的上界估計與下界估計的結果，並且我們也持續研究此類的問題。
    In this project, my main research is focused on the critical two-point functions for long-range percolation, self-avoiding walk and Ising model in high dimensions. This is joint work with professor Akira Sakai in the mathematics department at Hokkaido university. We obtained the rate of convergence and asymptotic behavior of two point functions and it has been published at Journal of ann. Probab. In 2015. We are doing this kind of problem now. In addition, I and professor Shu-Chiuan Chang in the physics department at national Cheng Kung university have some results for a version of directed percolation on the triangle lattice and honeycomb lattice. We obtained the upper and lower bounds of two point functions and our results bas been published J. Stat. Phys. and Physica A. I are doing the similar problems now.
    關聯: 執行起迄：2013/08/01~2015/09/30
    102-2115-M-004-005-MY2
    数据类型: report
    显示于类别:[應用數學系] 國科會研究計畫

    文件中的档案:

    档案 大小格式浏览次数
    102-2115-M-004-005-MY2.pdf1029KbAdobe PDF2243检视/开启


    在政大典藏中所有的数据项都受到原著作权保护.


    社群 sharing

    著作權政策宣告 Copyright Announcement
    1.本網站之數位內容為國立政治大學所收錄之機構典藏，無償提供學術研究與公眾教育等公益性使用，惟仍請適度，合理使用本網站之內容，以尊重著作權人之權益。商業上之利用，則請先取得著作權人之授權。
    The digital content of this website is part of National Chengchi University Institutional Repository. It provides free access to academic research and public education for non-commercial use. Please utilize it in a proper and reasonable manner and respect the rights of copyright owners. For commercial use, please obtain authorization from the copyright owner in advance.

    2.本網站之製作，已盡力防止侵害著作權人之權益，如仍發現本網站之數位內容有侵害著作權人權益情事者，請權利人通知本網站維護人員(nccur@nccu.edu.tw)，維護人員將立即採取移除該數位著作等補救措施。
    NCCU Institutional Repository is made to protect the interests of copyright owners. If you believe that any material on the website infringes copyright, please contact our staff(nccur@nccu.edu.tw). We will remove the work from the repository and investigate your claim.
    DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library IR team Copyright ©   - 回馈