Contraction of Measures on Graphs
Contraction of Measures on Graphs
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图测度的收缩
DOI：
10.1007/s11118-014-9388-7
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发表时间：
2014
影响因子：
1.1
通讯作者：
Hillion E
中科院分区：
文献类型：
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作者：
Hillion E
给定连通图G上的一个非支集概率测度μ，我们构造了一类在给定点∈ G和μ上插值Dirac测度的概率测度族.受Sturm-Lott-Villani理论的启发，我们研究了度量长度空间上熵泛函沿着这类插值的凸性.给出了三种典型情况下的显式结果，当图G是n，立方体或树。
Given a finitely supported probability measureμon a connected graphG, we construct a family of probability measures interpolating the Dirac measure at some given pointo∈Gandμ. Inspired by Sturm-Lott-Villani theory of Ricci curvature bounds on measured length spaces, we then study the convexity of the entropy functional along such interpolations. Explicit results are given in three canonical cases, when the graphGis either ℤn, a cube or a tree.
DOI：
10.1109/isit.2007.4557433
发表时间：
2007
期刊：
2007 IEEE International Symposium on Information Theory
影响因子：
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作者：
P. Harremoës;O. Johnson;Ioannis Kontoyiannis
通讯作者：
Ioannis Kontoyiannis