木上淳

キガミジュン | Kigami Jun

所属機関・部署：
職名：教授

研究分野 (1件)：基礎解析学

競争的資金等の研究課題 (34件)：

全件表示

論文 (27件)：

木上淳. Conductive Homogeneity of Compact Metric Spaces and Construction of p-Energy. 2023. 5
T. Oba, J. Kigami. Why does invasion imply substitution? Beyond the paradigm of invasion fitness. J. Math. Biol. 2018. 77. 5. 1493-1532
P. Alonso-Ruiz, U. Freiberg, J. Kigami. Completely symmetric resistance forms on the stretched Sierpiński gasket. J. Fractal Geometry. 2018. 5. 3. 227-277
Jun Kigami. Transitions on a noncompact Cantor set and random walks on its defining tree. ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES. 2013. 49. 4. 1090-1129
Jun Kigami. Dirichlet forms and associated heat kernels on the Cantor set induced by random walks on trees. ADVANCES IN MATHEMATICS. 2010. 225. 5. 2674-2730

MISC (2件)：

木上淳. 測度・距離空間上の解析学 : Cheeger理論とフラクタル上の解析学 (保存則をもつ偏微分方程式に対する解の正則性・特異性の研究). 数理解析研究所講究録. 2014. 1914. 39-55
木上淳. フラクタルと次元. 数理科学. 1988. 302. 18-18

書籍 (5件)：

Geometry and analysis of metric spaces via weighted partitions
Lecture Notes in Mathematics 2265, Springer 2020 ISBN:9783030541538
Time Changes of the Brownian Motion: Poincaré Inequality, Heat Kernel Estimate and Protodistance
Mem. Amer. Math. Soc. 259 no 1250 2019
Resistance forms, quasisymmetric maps and heat kernel estimates
Mem. Amer. Math. Soc. 216 no 1015 2012
Volume doubling measures and heat kernel estimates on self-similar sets
Mem. Amer. Math. Soc. 199 no. 932 2009
Analysis on Fractals
Cambridge Tracts in Mathematics, 143. Cambridge University Press 2001

講演・口頭発表等 (37件)：

Yet another construction of "Sobolev" spaces on metric spaces
(QuasiWorld Workshop, Helsinki 2023)
Yet another construction of "Sobolev" spaces on metric spaces
(BIRS Workshop on Smooth Functions, Rough Spaces and Fractals 2022)
Conductive homogeneity of compact metric spaces and construction of p-energy
(Fractal Geometry in Pure and Applied Mathematics, Joint meeting of AMS-SMF-EMS 2022)
Conductive homogeneity of compact metric spaces and construction of p-energy
(7th Cornel Conferrence on Analysis, Probability and Mathematica Physics on Fractals 2022)
Ahlfors regular conformal dimension of metric spaces and parabolic index of finite graphs
(Geometric Measure Theory and Geometric Analysis in Moscow 2020)

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木上 淳