Ichirō Shigekawa

1.2k total citations
35 papers, 682 citations indexed

About

Ichirō Shigekawa is a scholar working on Mathematical Physics, Applied Mathematics and Computational Theory and Mathematics. According to data from OpenAlex, Ichirō Shigekawa has authored 35 papers receiving a total of 682 indexed citations (citations by other indexed papers that have themselves been cited), including 30 papers in Mathematical Physics, 20 papers in Applied Mathematics and 13 papers in Computational Theory and Mathematics. Recurrent topics in Ichirō Shigekawa's work include Spectral Theory in Mathematical Physics (13 papers), advanced mathematical theories (13 papers) and Advanced Mathematical Modeling in Engineering (11 papers). Ichirō Shigekawa is often cited by papers focused on Spectral Theory in Mathematical Physics (13 papers), advanced mathematical theories (13 papers) and Advanced Mathematical Modeling in Engineering (11 papers). Ichirō Shigekawa collaborates with scholars based in Japan and United Kingdom. Ichirō Shigekawa's co-authors include Shigeki Aida, Toru Masuda, K. D. Elworthy, Shigeo Kusuoka, Nobuo Yoshida, Setsuo Taniguchi, Nobuyuki Ikeda, Shinzo Watanabe, Seiichiro Kusuoka and Hiroyuki Matsumoto and has published in prestigious journals such as Journal of Functional Analysis, Probability Theory and Related Fields and Journal of the Mathematical Society of Japan.

In The Last Decade

Ichirō Shigekawa

33 papers receiving 567 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Ichirō Shigekawa Japan 14 412 370 213 159 101 35 682
M. Cranston United States 16 459 1.1× 305 0.8× 235 1.1× 223 1.4× 64 0.6× 44 755
Tom Lindstrøm Norway 11 343 0.8× 97 0.3× 234 1.1× 141 0.9× 47 0.5× 26 575
Shigeki Aida Japan 12 246 0.6× 301 0.8× 120 0.6× 119 0.7× 77 0.8× 29 472
Izumi Kubo Japan 16 298 0.7× 215 0.6× 133 0.6× 122 0.8× 51 0.5× 49 645
Z. Ciesielski Poland 14 327 0.8× 399 1.1× 188 0.9× 96 0.6× 59 0.6× 37 793
Anton Thalmaier Luxembourg 14 218 0.5× 501 1.4× 278 1.3× 113 0.7× 208 2.1× 51 731
И. В. Островскии Türkiye 10 221 0.5× 375 1.0× 77 0.4× 81 0.5× 176 1.7× 60 625
Michel Émery France 10 179 0.4× 162 0.4× 181 0.8× 52 0.3× 65 0.6× 28 472
Niels Jacob United Kingdom 17 480 1.2× 427 1.2× 344 1.6× 231 1.5× 27 0.3× 50 872
P. A. Meyer France 13 266 0.6× 153 0.4× 246 1.2× 106 0.7× 55 0.5× 45 690

Countries citing papers authored by Ichirō Shigekawa

Since Specialization
Citations

This map shows the geographic impact of Ichirō Shigekawa'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 Ichirō Shigekawa with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Ichirō Shigekawa more than expected).

Fields of papers citing papers by Ichirō Shigekawa

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Ichirō Shigekawa. 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 Ichirō Shigekawa. The network helps show where Ichirō Shigekawa may publish in the future.

Co-authorship network of co-authors of Ichirō Shigekawa

This figure shows the co-authorship network connecting the top 25 collaborators of Ichirō Shigekawa. A scholar is included among the top collaborators of Ichirō Shigekawa 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 Ichirō Shigekawa. Ichirō Shigekawa 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.
Shigekawa, Ichirō. (2019). Non-symmetric diffusions on a Riemannian manifold. Advanced studies in pure mathematics. 437–461. 1 indexed citations
2.
Shigekawa, Ichirō. (2018). A non-symmetric diffusion process on the Wiener space. Okayama University Scientific Achievement Repository (Okayama University). 60(1). 137–153.
3.
Kusuoka, Seiichiro & Ichirō Shigekawa. (2014). Exponential convergence of Markovian semigroups and their spectra on Lp-spaces. Kyoto journal of mathematics. 54(2). 2 indexed citations
4.
Shigekawa, Ichirō. (2007). Schrödinger operators on the Wiener space. Communications on Stochastic Analysis. 1(1). 1 indexed citations
5.
Shigekawa, Ichirō. (2006). Defective intertwining property and generator domain. Journal of Functional Analysis. 239(2). 357–374. 5 indexed citations
6.
Shigekawa, Ichirō. (2004). Stochastic Analysis. Translations of mathematical monographs. 49 indexed citations
7.
8.
Shigekawa, Ichirō. (1997). LpContraction Semigroups for Vector Valued Functions. Journal of Functional Analysis. 147(1). 69–108. 24 indexed citations
9.
Aida, Shigeki, Toru Masuda, & Ichirō Shigekawa. (1994). Logarithmic Sobolev Inequalities and Exponential Integrability. Journal of Functional Analysis. 126(1). 83–101. 88 indexed citations
10.
Aida, Shigeki & Ichirō Shigekawa. (1994). Logarithmic Sobolev Inequalities and Spectral Gaps: Perturbation Theory. Journal of Functional Analysis. 126(2). 448–475. 34 indexed citations
11.
Shigekawa, Ichirō & Nobuo Yoshida. (1992). Littlewood-Paley-Stein inequality for a symmetric diffusion. Journal of the Mathematical Society of Japan. 44(2). 13 indexed citations
12.
Shigekawa, Ichirō. (1991). Spectral properties of Schrödinger operators with magnetic fields for a spin 12 particle. Journal of Functional Analysis. 101(2). 255–285. 20 indexed citations
13.
Shigekawa, Ichirō, et al.. (1990). A comparison theorem for eigenvalues of the covariant Laplacian. Journal of Functional Analysis. 94(2). 349–357. 1 indexed citations
14.
Shigekawa, Ichirō, et al.. (1989). A probabilistic proof of the Gauss-Bonnet-Chern theorem for manifolds with boundary. Osaka Journal of Mathematics. 26(4). 897–930. 8 indexed citations
15.
Shigekawa, Ichirō, et al.. (1988). A stochastic approach to the Riemann-Roch theorem. Osaka Journal of Mathematics. 25(4). 759–784. 3 indexed citations
16.
Shigekawa, Ichirō. (1987). Existence of invariant measures of diffusions on an abstract Wiener space. Osaka Journal of Mathematics. 24(1). 37–59. 35 indexed citations
17.
Shigekawa, Ichirō. (1987). Eigenvalue problems for the Schrödinger operator with the magnetic field on a compact Riemannian manifold. Journal of Functional Analysis. 75(1). 92–127. 52 indexed citations
18.
Shigekawa, Ichirō. (1986). De Rham-Hodge-Kodaira’s decomposition on an abstract Wiener space. Kyoto journal of mathematics. 26(2). 55 indexed citations
19.
Ikeda, Nobuyuki, Ichirō Shigekawa, & Setsuo Taniguchi. (1985). The Malliavin calculus and long time asymptotics of certain Wiener integrals. Project Euclid (Cornell University). 46–113. 9 indexed citations
20.
Shigekawa, Ichirō. (1984). On a quasi-everywhere existence of the local time of the 1-dimensional Brownian motion. Osaka Journal of Mathematics. 21(3). 621–627. 7 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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