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Kigami, Jun

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Author ID: kigami.jun Recent zbMATH articles by "Kigami, Jun"
Published as: Kigami, Jun; Kigami, J.
Documents Indexed: 37 Publications since 1983, including 7 Books

Publications by Year

Citations contained in zbMATH Open

34 Publications have been cited 1,177 times in 574 Documents Cited by Year
Analysis on fractals. Zbl 0998.28004
Kigami, Jun
343
2001
Harmonic calculus on P.C.F. self-similar sets. Zbl 0773.31009
Kigami, Jun
147
1993
A harmonic calculus on the Sierpiński spaces. Zbl 0686.31003
Kigami, Jun
106
1989
Weyl’s problem for the spectral distribution of Laplacians on P.C.F. self-similar fractals. Zbl 0806.35130
Kigami, Jun; Lapidus, Michel L.
98
1993
Harmonic analysis for resistance forms. Zbl 1039.31014
Kigami, Jun
65
2003
Resistance forms, quasisymmetric maps and heat kernel estimates. Zbl 1246.60099
Kigami, Jun
49
2012
Localized eigenfunctions of the Laplacian on p. c. f. self-similar sets. Zbl 0904.35064
Barlow, Martin T.; Kigami, Jun
41
1997
Harmonic calculus on limits of networks and its application to dendrites. Zbl 0820.60060
Kigami, Jun
34
1995
Measurable Riemannian geometry on the Sierpinski gasket: the Kusuoka measure and the Gaussian heat kernel estimate. Zbl 1143.28004
Kigami, Jun
31
2008
Harmonic metric and Dirichlet form on the Sierpinski gasket. Zbl 0793.31005
Kigami, J.
28
1993
Volume doubling measures and heat kernel estimates on self-similar sets. Zbl 1181.28011
Kigami, Jun
27
2009
Local Nash inequality and inhomogeneity of heat kernels. Zbl 1060.60076
Kigami, Jun
22
2004
Effective resistances for harmonic structures on p.c.f. self-similar sets. Zbl 0803.60074
Kigami, Jun
21
1994
Mathematics of fractals. Transl. from the Japanese by Kiki Hudson. Zbl 0888.58030
Yamaguti, Masaya; Hata, Masayoshi; Kigami, Jun
21
1997
Self-similarity of volume measures for Laplacians on p. c. f. self-similar fractals. Zbl 0983.35097
Kigami, Jun; Lapidus, Michel L.
18
2001
Distributions of localized eigenvalues of Laplacians on post critically finite self-similar sets. Zbl 0908.35087
Kigami, Jun
17
1998
Dirichlet forms and associated heat kernels on the Cantor set induced by random walks on trees. Zbl 1234.60077
Kigami, Jun
17
2010
Analysis on fractals. Paperback reprint of the hardback edition 2001. Zbl 1143.28005
Kigami, Jun
13
2008
Green’s functions on fractals. Zbl 0983.31005
Kigami, Jun; Sheldon, Daniel R.; Strichartz, Robert S.
12
2000
Constructing a Laplacian on the diamond fractal. Zbl 0999.31007
Kigami, Jun; Strichartz, Robert S.; Walker, Katharine C.
12
2001
Transitions on a noncompact Cantor set and random walks on its defining tree. Zbl 1286.31006
Kigami, Jun
10
2013
Hausdorff dimensions of self-similar sets and shortest path metrics. Zbl 0851.28002
Kigami, Jun
10
1995
Laplacians on self-similar sets and their spectral distributions. Zbl 0871.28008
Kigami, Jun
6
1995
Completely symmetric resistance forms on the stretched Sierpiński gasket. Zbl 1397.31003
Ruiz, Patricia Alonso; Freiberg, Uta R.; Kigami, Jun
5
2018
Multifractal formalisms for the local spectral and walk dimensions. Zbl 1002.60064
Hambly, B. M.; Kigami, Jun; Kumagai, Takashi
5
2002
The dynamical attainability of ESS in evolutionary games. Zbl 0734.92021
Takada, T.; Kigami, J.
5
1991
Quasisymmetric modification of metrics on self-similar sets. Zbl 1318.28028
Kigami, Jun
5
2014
Why does invasion imply substitution? Beyond the paradigm of invasion fitness. Zbl 1400.92374
Oba, Takuji; Kigami, Jun
2
2018
Some remarks on Dirichlet problem of Poisson equation. Zbl 0672.35018
Yamaguti, Masaya; Kigami, Jun
2
1988
Time changes of the Brownian motion: Poincaré inequality, heat kernel estimate and protodistance. Zbl 1448.60003
Kigami, Jun
1
2019
Markov property of Kusuoka-Zhou’s Dirichlet forms on self-similar sets. Zbl 0964.60079
Kigami, Jun
1
2000
On Laplacians on self-similar sets. Analysis on fractals. Zbl 0754.58024
Kigami, Jun
1
1992
Some functional equations which generate both crinkly broken lines and curves. Zbl 0639.30025
Kigami, Jun
1
1987
Geometry and analysis of metric spaces via weighted partitions. Zbl 1455.28001
Kigami, Jun
1
2020
Geometry and analysis of metric spaces via weighted partitions. Zbl 1455.28001
Kigami, Jun
1
2020
Time changes of the Brownian motion: Poincaré inequality, heat kernel estimate and protodistance. Zbl 1448.60003
Kigami, Jun
1
2019
Completely symmetric resistance forms on the stretched Sierpiński gasket. Zbl 1397.31003
Ruiz, Patricia Alonso; Freiberg, Uta R.; Kigami, Jun
5
2018
Why does invasion imply substitution? Beyond the paradigm of invasion fitness. Zbl 1400.92374
Oba, Takuji; Kigami, Jun
2
2018
Quasisymmetric modification of metrics on self-similar sets. Zbl 1318.28028
Kigami, Jun
5
2014
Transitions on a noncompact Cantor set and random walks on its defining tree. Zbl 1286.31006
Kigami, Jun
10
2013
Resistance forms, quasisymmetric maps and heat kernel estimates. Zbl 1246.60099
Kigami, Jun
49
2012
Dirichlet forms and associated heat kernels on the Cantor set induced by random walks on trees. Zbl 1234.60077
Kigami, Jun
17
2010
Volume doubling measures and heat kernel estimates on self-similar sets. Zbl 1181.28011
Kigami, Jun
27
2009
Measurable Riemannian geometry on the Sierpinski gasket: the Kusuoka measure and the Gaussian heat kernel estimate. Zbl 1143.28004
Kigami, Jun
31
2008
Analysis on fractals. Paperback reprint of the hardback edition 2001. Zbl 1143.28005
Kigami, Jun
13
2008
Local Nash inequality and inhomogeneity of heat kernels. Zbl 1060.60076
Kigami, Jun
22
2004
Harmonic analysis for resistance forms. Zbl 1039.31014
Kigami, Jun
65
2003
Multifractal formalisms for the local spectral and walk dimensions. Zbl 1002.60064
Hambly, B. M.; Kigami, Jun; Kumagai, Takashi
5
2002
Analysis on fractals. Zbl 0998.28004
Kigami, Jun
343
2001
Self-similarity of volume measures for Laplacians on p. c. f. self-similar fractals. Zbl 0983.35097
Kigami, Jun; Lapidus, Michel L.
18
2001
Constructing a Laplacian on the diamond fractal. Zbl 0999.31007
Kigami, Jun; Strichartz, Robert S.; Walker, Katharine C.
12
2001
Green’s functions on fractals. Zbl 0983.31005
Kigami, Jun; Sheldon, Daniel R.; Strichartz, Robert S.
12
2000
Markov property of Kusuoka-Zhou’s Dirichlet forms on self-similar sets. Zbl 0964.60079
Kigami, Jun
1
2000
Distributions of localized eigenvalues of Laplacians on post critically finite self-similar sets. Zbl 0908.35087
Kigami, Jun
17
1998
Localized eigenfunctions of the Laplacian on p. c. f. self-similar sets. Zbl 0904.35064
Barlow, Martin T.; Kigami, Jun
41
1997
Mathematics of fractals. Transl. from the Japanese by Kiki Hudson. Zbl 0888.58030
Yamaguti, Masaya; Hata, Masayoshi; Kigami, Jun
21
1997
Harmonic calculus on limits of networks and its application to dendrites. Zbl 0820.60060
Kigami, Jun
34
1995
Hausdorff dimensions of self-similar sets and shortest path metrics. Zbl 0851.28002
Kigami, Jun
10
1995
Laplacians on self-similar sets and their spectral distributions. Zbl 0871.28008
Kigami, Jun
6
1995
Effective resistances for harmonic structures on p.c.f. self-similar sets. Zbl 0803.60074
Kigami, Jun
21
1994
Harmonic calculus on P.C.F. self-similar sets. Zbl 0773.31009
Kigami, Jun
147
1993
Weyl’s problem for the spectral distribution of Laplacians on P.C.F. self-similar fractals. Zbl 0806.35130
Kigami, Jun; Lapidus, Michel L.
98
1993
Harmonic metric and Dirichlet form on the Sierpinski gasket. Zbl 0793.31005
Kigami, J.
28
1993
On Laplacians on self-similar sets. Analysis on fractals. Zbl 0754.58024
Kigami, Jun
1
1992
The dynamical attainability of ESS in evolutionary games. Zbl 0734.92021
Takada, T.; Kigami, J.
5
1991
A harmonic calculus on the Sierpiński spaces. Zbl 0686.31003
Kigami, Jun
106
1989
Some remarks on Dirichlet problem of Poisson equation. Zbl 0672.35018
Yamaguti, Masaya; Kigami, Jun
2
1988
Some functional equations which generate both crinkly broken lines and curves. Zbl 0639.30025
Kigami, Jun
1
1987
all top 5

Cited by 583 Authors

54 Strichartz, Robert S.
31 Teplyaev, Alexander
17 Jørgensen, Palle E. T.
17 Kumagai, Takashi
15 Lau, Kasing
15 Rogers, Luke G.
14 Hambly, Ben M.
14 Hu, Jiaxin
13 Hinz, Michael
13 Kigami, Jun
12 Croydon, David A.
12 Grigor’yan, Alexander Asaturovich
10 Freiberg, Uta Renata
10 Qiu, Hua
9 Dutkay, Dorin Ervin
9 Ionescu, Marius V.
9 Lapidus, Michel L.
8 Cipriani, Fabio
8 Golmankhaneh, Alireza Khalili
8 Hino, Masanori
8 Metz, Volker
8 Ngai, Sze-Man
7 Alonso-Ruiz, Patricia
7 Cao, Shiping
7 Kajino, Naotaka
7 Okoudjou, Kasso A.
6 Mihail, Alexandru
6 Pearse, Erin Peter James
6 Ruan, Huo-Jun
6 Sauvageot, Jean-Luc
6 Steinhurst, Benjamin
6 Zähle, Martina
5 Barlow, Martin T.
5 Breckner, Brigitte Erika
5 Guido, Daniele
5 Isola, Tommaso
5 Kelleher, Daniel J.
5 Peirone, Roberto
5 Rastegaev, N. V.
5 Teufl, Elmar
5 Wang, Xiangyang
5 Xi, Lifeng
4 Angulo, José Miguel
4 Anh, Vo V.
4 Baudoin, Fabrice
4 Capitanelli, Raffaela
4 David, Claire
4 Grabner, Peter J.
4 Gu, Qingsong
4 Lancia, Maria Rosaria
4 Miculescu, Radu
4 Özdemir, Yunus
4 Priyadarshi, Amit
4 Ruiz-Medina, María Dolores
4 Sahu, Abhilash
4 Shanmugalingam, Nageswari
4 Shima, Tadashi
4 Tang, Donglei
4 Tyson, Jeremy T.
4 Wagner, Stephan G.
3 Achdou, Yves
3 Aerts, Diederik Emiel
3 Băleanu, Dumitru I.
3 Barnsley, Michael Fielding
3 Chen, Joe Po-Chou
3 Cho, Ilwoo
3 Czachor, Marek
3 De Amo, Enrique
3 Demir, Bunyamin
3 Diaz Carrillo, Manuel
3 Fernández-Sánchez, Juan
3 Gangal, Anil D.
3 Georgakopoulos, Agelos
3 Golmankhaneh, Ali Khalili
3 Gu, Jiangwen
3 Kaneko, Hiroshi
3 Kasue, Atsushi
3 Keller, Matthias
3 Kesseböhmer, Marc
3 Koçak, Şahin
3 Krön, Bernhard
3 Kuna, Maciej
3 Lai, Chun-Kit
3 Mosco, Umberto
3 Mulholland, Anthony J.
3 Murugan, Mathav Kishore
3 Ostoja-Starzewski, Martin
3 Parvate, Abhay
3 Rădulescu, Vicenţiu D.
3 Riane, Nizar
3 Samuel, Tony
3 Sekiguchi, Takeshi
3 Shiota, Yasunobu
3 Sikora, Adam S.
3 Tang, Wei
3 Tchou, Nicoletta Anna
3 Telcs, András
3 Tetenov, Andreĭ Viktorovich
3 Triebel, Hans
3 Varga, Csaba György
...and 483 more Authors
all top 5

Cited in 176 Serials

38 Journal of Functional Analysis
29 Transactions of the American Mathematical Society
29 Fractals
18 Journal of Mathematical Analysis and Applications
15 Advances in Mathematics
15 Potential Analysis
15 The Journal of Fourier Analysis and Applications
14 Chaos, Solitons and Fractals
12 Acta Applicandae Mathematicae
12 Journal of Fractal Geometry
11 Communications in Mathematical Physics
11 Probability Theory and Related Fields
9 Journal d’Analyse Mathématique
9 Proceedings of the American Mathematical Society
9 Stochastic Processes and their Applications
9 Communications on Pure and Applied Analysis
7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Publications of the Research Institute for Mathematical Sciences, Kyoto University
7 Journal of Theoretical Probability
6 Monatshefte für Mathematik
6 Zeitschrift für Analysis und ihre Anwendungen
6 Forum Mathematicum
5 Rocky Mountain Journal of Mathematics
5 The Annals of Probability
5 Mathematische Nachrichten
5 Mathematische Zeitschrift
5 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
5 Experimental Mathematics
4 Journal of Mathematical Biology
4 Journal of Mathematical Physics
4 Mathematische Annalen
4 Topology and its Applications
4 Constructive Approximation
4 Japan Journal of Industrial and Applied Mathematics
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Linear Algebra and its Applications
4 Journal of Mathematical Sciences (New York)
4 Electronic Journal of Probability
4 Communications in Nonlinear Science and Numerical Simulation
4 Complex Analysis and Operator Theory
3 Nonlinearity
3 Memoirs of the American Mathematical Society
3 Osaka Journal of Mathematics
3 Stochastic Analysis and Applications
3 Revista Matemática Iberoamericana
3 Discrete and Continuous Dynamical Systems
3 Analysis (München)
3 Acta Mathematica Sinica. English Series
3 Nonlinear Analysis. Real World Applications
3 Mediterranean Journal of Mathematics
3 Fixed Point Theory and Applications
3 Complex Variables and Elliptic Equations
3 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
2 Modern Physics Letters A
2 Advances in Applied Probability
2 International Journal of Theoretical Physics
2 Journal of Statistical Physics
2 Letters in Mathematical Physics
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Physics Letters. A
2 Annales de l’Institut Fourier
2 Archiv der Mathematik
2 Demonstratio Mathematica
2 Functional Analysis and its Applications
2 Illinois Journal of Mathematics
2 Journal of Approximation Theory
2 Journal für die Reine und Angewandte Mathematik
2 Tohoku Mathematical Journal. Second Series
2 Chinese Annals of Mathematics. Series B
2 Japan Journal of Applied Mathematics
2 Bulletin of the American Mathematical Society. New Series
2 Calculus of Variations and Partial Differential Equations
2 Advances in Applied Clifford Algebras
2 Annales Academiae Scientiarum Fennicae. Mathematica
2 Mathematical Inequalities & Applications
2 Annals of Mathematics. Second Series
2 Journal of the Australian Mathematical Society
2 Sibirskie Èlektronnye Matematicheskie Izvestiya
2 Proceedings of the Steklov Institute of Mathematics
1 International Journal of Modern Physics B
1 Acta Mechanica
1 Applicable Analysis
1 Archive for Rational Mechanics and Analysis
1 Bulletin of the Australian Mathematical Society
1 Computers & Mathematics with Applications
1 Discrete Applied Mathematics
1 Discrete Mathematics
1 International Journal of Engineering Science
1 International Journal of Solids and Structures
1 Israel Journal of Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Reports on Mathematical Physics
1 Studia Mathematica
1 Arkiv för Matematik
1 Mathematics of Computation
1 Journal of Geometry and Physics
1 Acta Mathematica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 The Annals of Statistics
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
...and 76 more Serials
all top 5

Cited in 50 Fields

352 Measure and integration (28-XX)
177 Probability theory and stochastic processes (60-XX)
130 Potential theory (31-XX)
116 Partial differential equations (35-XX)
86 Operator theory (47-XX)
71 Functional analysis (46-XX)
45 Dynamical systems and ergodic theory (37-XX)
43 Combinatorics (05-XX)
39 Harmonic analysis on Euclidean spaces (42-XX)
35 Real functions (26-XX)
30 Global analysis, analysis on manifolds (58-XX)
25 Quantum theory (81-XX)
23 Statistical mechanics, structure of matter (82-XX)
21 Ordinary differential equations (34-XX)
18 Functions of a complex variable (30-XX)
17 Number theory (11-XX)
15 General topology (54-XX)
14 Differential geometry (53-XX)
11 Difference and functional equations (39-XX)
10 Numerical analysis (65-XX)
9 Abstract harmonic analysis (43-XX)
9 Biology and other natural sciences (92-XX)
8 Calculus of variations and optimal control; optimization (49-XX)
7 Information and communication theory, circuits (94-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Group theory and generalizations (20-XX)
5 Computer science (68-XX)
5 Mechanics of deformable solids (74-XX)
4 Special functions (33-XX)
4 Geometry (51-XX)
4 Statistics (62-XX)
4 Operations research, mathematical programming (90-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Topological groups, Lie groups (22-XX)
3 Approximations and expansions (41-XX)
3 Convex and discrete geometry (52-XX)
3 Optics, electromagnetic theory (78-XX)
2 Integral equations (45-XX)
2 Manifolds and cell complexes (57-XX)
2 Fluid mechanics (76-XX)
2 Relativity and gravitational theory (83-XX)
1 General and overarching topics; collections (00-XX)
1 Nonassociative rings and algebras (17-XX)
1 Category theory; homological algebra (18-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Integral transforms, operational calculus (44-XX)
1 Algebraic topology (55-XX)
1 Mechanics of particles and systems (70-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Systems theory; control (93-XX)

Citations by Year