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    Please use this identifier to cite or link to this item: http://nthur.lib.nthu.edu.tw/dspace/handle/987654321/86545


    Title: 關於不變測度的投影
    Authors: 王柏安
    Wang, Po-An
    Description: GH02101021505
    碩士
    數學系
    Date: 2014
    Keywords: 不變測度;重疊投影
    invariant measure;overlapped projection
    Abstract: 不變測可以由它們的投影來研究。特別是關於不變測度的質心的研究近幾年受到不少關注。陳國璋和董遜(2010[3]) 發現一套方法使得不同的Tent映射的軌道有相同的質心。這可以看做是許多不同的不變測度有重疊的投影在f(x)=x這方向上。這驅使我們考慮:什麼情況下,不同的兩個轉化下所對應的不變測度能擁有重疊的投影在某個方向上?這篇論文目的即是討論此問題。
    Invariant probability measures can be studied through their projections.
    In particular, the study of barycenters of these invariant measures has received
    much attention in resent years. K.C.Chen and X.Dong (2010 [3]) found a
    way to construct different orbits with the same barycenter for the tent map. It can
    be seen as that many invariant measures have overlapped projection along the
    direction f(x) = x. This motivates us to consider: when can invariant measures
    corresponding to two distinct transformations have overlapped projection
    along some direction? This thesis aims to discuss this problem.
    URI: http://nthur.lib.nthu.edu.tw/dspace/handle/987654321/86545
    Source: http://thesis.nthu.edu.tw/cgi-bin/gs/hugsweb.cgi?o=dnthucdr&i=sGH02101021505.id
    Appears in Collections:[數學系] 博碩士論文

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