Jun Kigami

2.8k total citations · 1 hit paper
32 papers, 1.6k citations indexed

About

Jun Kigami is a scholar working on Mathematical Physics, Computational Theory and Mathematics and Condensed Matter Physics. According to data from OpenAlex, Jun Kigami has authored 32 papers receiving a total of 1.6k indexed citations (citations by other indexed papers that have themselves been cited), including 21 papers in Mathematical Physics, 12 papers in Computational Theory and Mathematics and 6 papers in Condensed Matter Physics. Recurrent topics in Jun Kigami's work include Mathematical Dynamics and Fractals (19 papers), advanced mathematical theories (9 papers) and Topological and Geometric Data Analysis (6 papers). Jun Kigami is often cited by papers focused on Mathematical Dynamics and Fractals (19 papers), advanced mathematical theories (9 papers) and Topological and Geometric Data Analysis (6 papers). Jun Kigami collaborates with scholars based in Japan, United States and Slovakia. Jun Kigami's co-authors include Michel L. Lapidus, Martin T. Barlow, Masayoshi Hata, Masaya Yamaguti, Toshihiko Takada, Robert S. Strichartz, Daniel Sheldon, Ben Hambly, Uta Freiberg and Takashi Kumagai and has published in prestigious journals such as Communications in Mathematical Physics, Lecture notes in mathematics and Transactions of the American Mathematical Society.

In The Last Decade

Jun Kigami

31 papers receiving 1.5k citations

Hit Papers

Analysis on Fractals 2001 2026 2009 2017 2001 100 200 300 400

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Jun Kigami Japan 19 1.3k 558 459 395 307 32 1.6k
Martin T. Barlow Canada 19 1.1k 0.9× 529 0.9× 653 1.4× 320 0.8× 212 0.7× 44 1.7k
Takashi Kumagai Japan 23 1.3k 1.0× 569 1.0× 835 1.8× 281 0.7× 97 0.3× 83 1.8k
Alain‐Sol Sznitman Switzerland 23 1.6k 1.2× 364 0.7× 309 0.7× 595 1.5× 235 0.8× 61 2.2k
Alexander Teplyaev United States 17 642 0.5× 304 0.5× 244 0.5× 178 0.5× 206 0.7× 55 820
U. A. Rozikov Uzbekistan 26 1.3k 1.0× 469 0.8× 113 0.2× 1.1k 2.8× 480 1.6× 166 2.4k
Masayoshi Takeda Japan 15 1.4k 1.0× 645 1.2× 898 2.0× 91 0.2× 81 0.3× 52 2.0k
Bogusław Zegarliński United Kingdom 17 566 0.4× 111 0.2× 264 0.6× 281 0.7× 187 0.6× 79 960
Wen Huang China 26 1.5k 1.1× 447 0.8× 202 0.4× 36 0.1× 632 2.1× 83 1.8k
Giambattista Giacomin France 23 896 0.7× 232 0.4× 222 0.5× 739 1.9× 205 0.7× 63 1.6k
Kening Lu United States 36 997 0.8× 2.1k 3.7× 731 1.6× 108 0.3× 698 2.3× 105 3.8k

Countries citing papers authored by Jun Kigami

Since Specialization
Citations

This map shows the geographic impact of Jun Kigami's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Jun Kigami with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Jun Kigami more than expected).

Fields of papers citing papers by Jun Kigami

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Jun Kigami. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Jun Kigami. The network helps show where Jun Kigami may publish in the future.

Co-authorship network of co-authors of Jun Kigami

This figure shows the co-authorship network connecting the top 25 collaborators of Jun Kigami. A scholar is included among the top collaborators of Jun Kigami based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Jun Kigami. Jun Kigami is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Kigami, Jun, et al.. (2024). “The Sierpinski gasket minus its bottom line” as a tree of Sierpinski gaskets. Mathematische Zeitschrift. 306(2). 2 indexed citations
3.
Kigami, Jun, et al.. (2018). Why does invasion imply substitution? Beyond the paradigm of invasion fitness. Journal of Mathematical Biology. 77(5). 1493–1532. 2 indexed citations
4.
Freiberg, Uta, et al.. (2018). Completely symmetric resistance forms on the stretched Sierpiński gasket. 5(3). 227–277. 8 indexed citations
5.
Kigami, Jun. (2010). Dirichlet forms and associated heat kernels on the Cantor set induced by random walks on trees. Advances in Mathematics. 225(5). 2674–2730. 25 indexed citations
6.
Kigami, Jun. (2004). Local Nash Inequality and Inhomogeneity of Heat Kernels. Proceedings of the London Mathematical Society. 89(2). 525–544. 30 indexed citations
7.
Kigami, Jun. (2003). Harmonic analysis for resistance forms. Journal of Functional Analysis. 204(2). 399–444. 75 indexed citations
8.
Hambly, Ben, Jun Kigami, & Takashi Kumagai. (2002). Multifractal formalisms for the local spectral and walk dimensions. Mathematical Proceedings of the Cambridge Philosophical Society. 132(3). 555–571. 9 indexed citations
9.
Kigami, Jun, et al.. (2001). Constructing a Laplacian on the Diamond Fractal. Experimental Mathematics. 10(3). 437–448. 25 indexed citations
10.
Kigami, Jun & Michel L. Lapidus. (2001). Self-Similarity of Volume Measures for Laplacians¶on P. C. F. Self-Similar Fractals. Communications in Mathematical Physics. 217(1). 165–180. 18 indexed citations
11.
Kigami, Jun. (2000). Markov Property of Kusuoka-Zhou's Dirichlet Forms on Self-Similar Sets. Journal of mathematical sciences. 7(1). 27–33. 6 indexed citations
12.
Kigami, Jun. (1998). Distributions of Localized Eigenvalues of Laplacians on Post Critically Finite Self-Similar Sets. Journal of Functional Analysis. 156(1). 170–198. 18 indexed citations
13.
Yamaguti, Masaya, Masayoshi Hata, & Jun Kigami. (1997). Mathematics of Fractals. Translations of mathematical monographs. 46 indexed citations
14.
Kigami, Jun. (1995). Hausdorff dimensions of self-similar sets and shortest path metrics. Journal of the Mathematical Society of Japan. 47(3). 15 indexed citations
15.
Kigami, Jun. (1995). Harmonic Calculus on Limits of Networks and Its Application to Dendrites. Journal of Functional Analysis. 128(1). 48–86. 53 indexed citations
16.
Kigami, Jun. (1994). Effective resistances for harmonic structures on p.c.f. self-similar sets. Mathematical Proceedings of the Cambridge Philosophical Society. 115(2). 291–303. 40 indexed citations
17.
Kigami, Jun. (1993). Harmonic Calculus on P.C.F. Self-Similar Sets. Transactions of the American Mathematical Society. 335(2). 721–721. 73 indexed citations
18.
Takada, Toshihiko & Jun Kigami. (1991). The dynamical attainability of ESS in evolutionary games. Journal of Mathematical Biology. 29(6). 513–529. 26 indexed citations
19.
Ito, Keisuke, et al.. (1989). Go-Game Model Revisited. Zisin (Journal of the Seismological Society of Japan 2nd ser ). 42(2). 235–237. 1 indexed citations
20.
Kigami, Jun. (1989). A harmonic calculus on the Sierpinski spaces. 6(2). 259–290. 161 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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