Shigeki Aida

802 total citations
29 papers, 472 citations indexed

About

Shigeki Aida is a scholar working on Applied Mathematics, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Shigeki Aida has authored 29 papers receiving a total of 472 indexed citations (citations by other indexed papers that have themselves been cited), including 19 papers in Applied Mathematics, 18 papers in Mathematical Physics and 11 papers in Computational Theory and Mathematics. Recurrent topics in Shigeki Aida's work include Spectral Theory in Mathematical Physics (13 papers), Advanced Mathematical Modeling in Engineering (10 papers) and Geometric Analysis and Curvature Flows (8 papers). Shigeki Aida is often cited by papers focused on Spectral Theory in Mathematical Physics (13 papers), Advanced Mathematical Modeling in Engineering (10 papers) and Geometric Analysis and Curvature Flows (8 papers). Shigeki Aida collaborates with scholars based in Japan, United States and Norway. Shigeki Aida's co-authors include Ichirō Shigekawa, Toru Masuda, D. W. Stroock, Tusheng Zhang, Kosuke Sasaki, Bruce K. Driver and Seiichiro Kusuoka and has published in prestigious journals such as Journal of Functional Analysis, Stochastic Processes and their Applications and Publications of the Research Institute for Mathematical Sciences.

In The Last Decade

Shigeki Aida

28 papers receiving 423 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Shigeki Aida Japan 12 301 246 120 119 77 29 472
Denis Feyel France 14 335 1.1× 226 0.9× 211 1.8× 94 0.8× 120 1.6× 38 536
Ichirō Shigekawa Japan 14 370 1.2× 412 1.7× 213 1.8× 159 1.3× 101 1.3× 35 682
Shizan Fang France 14 367 1.2× 205 0.8× 257 2.1× 137 1.2× 84 1.1× 45 551
Seiichiro Kusuoka Japan 9 142 0.5× 197 0.8× 189 1.6× 93 0.8× 23 0.3× 28 400
Anton Thalmaier Luxembourg 14 501 1.7× 218 0.9× 278 2.3× 113 0.9× 208 2.7× 51 731
Kazuhiro Kuwae Japan 14 372 1.2× 326 1.3× 120 1.0× 133 1.1× 190 2.5× 52 556
V. N. Sudakov Russia 5 193 0.6× 154 0.6× 78 0.7× 38 0.3× 86 1.1× 17 400
M. A. Akcoglu Canada 14 247 0.8× 374 1.5× 48 0.4× 141 1.2× 98 1.3× 58 589
Bruce K. Driver United States 14 356 1.2× 338 1.4× 92 0.8× 78 0.7× 128 1.7× 34 558
Nathaël Gozlan France 13 330 1.1× 115 0.5× 54 0.5× 35 0.3× 90 1.2× 34 457

Countries citing papers authored by Shigeki Aida

Since Specialization
Citations

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

Fields of papers citing papers by Shigeki Aida

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Shigeki Aida

This figure shows the co-authorship network connecting the top 25 collaborators of Shigeki Aida. A scholar is included among the top collaborators of Shigeki Aida 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 Shigeki Aida. Shigeki Aida 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.
Aida, Shigeki. (2024). Rough Differential Equations Containing Path-Dependent Bounded Variation Terms. Journal of Theoretical Probability. 37(3). 2130–2183.
2.
Aida, Shigeki. (2015). Asymptotics of spectral gaps on loop spaces over a class of Riemannian manifolds. Journal of Functional Analysis. 269(12). 3714–3764. 2 indexed citations
3.
Aida, Shigeki. (2015). Reflected rough differential equations. Stochastic Processes and their Applications. 125(9). 3570–3595. 9 indexed citations
4.
Aida, Shigeki & Kosuke Sasaki. (2013). Wong–Zakai approximation of solutions to reflecting stochastic differential equations on domains in Euclidean spaces. Stochastic Processes and their Applications. 123(10). 3800–3827. 24 indexed citations
5.
Aida, Shigeki. (2012). Tunneling for spatially cut-off P(ϕ)2-Hamiltonians. Journal of Functional Analysis. 263(9). 2689–2753. 4 indexed citations
6.
Aida, Shigeki. (2011). Vanishing of one-dimensional L2-cohomologies of loop groups. Journal of Functional Analysis. 261(8). 2164–2213. 10 indexed citations
7.
Aida, Shigeki. (2008). Semi-classical limit of the lowest eigenvalue of a Schrödinger operator on a Wiener space: II. P(ϕ)2-model on a finite volume. Journal of Functional Analysis. 256(10). 3342–3367. 4 indexed citations
8.
Aida, Shigeki. (2007). Semi-classical limit of the bottom of spectrum of a Schrödinger operator on a path space over a compact Riemannian manifold. Journal of Functional Analysis. 251(1). 59–121. 12 indexed citations
9.
Aida, Shigeki. (2003). Semiclassical limit of the lowest eigenvalue of a Schrödinger operator on a Wiener space. Journal of Functional Analysis. 203(2). 401–424. 10 indexed citations
10.
Aida, Shigeki. (2001). An Estimate of the Gap of Spectrum of Schrödinger Operators which Generate Hyperbounded Semigroups. Journal of Functional Analysis. 185(2). 474–526. 13 indexed citations
11.
Aida, Shigeki. (2000). On the irreducibility of Dirichlet forms on domains in infinite-dimensional spaces. Osaka Journal of Mathematics. 37(4). 953–966. 4 indexed citations
12.
Aida, Shigeki. (2000). Logarithmic Derivatives of Heat Kernels and Logarithmic Sobolev Inequalities with Unbounded Diffusion Coefficients on Loop Spaces. Journal of Functional Analysis. 174(2). 430–477. 15 indexed citations
13.
Aida, Shigeki. (1998). Uniform Positivity Improving Property, Sobolev Inequalities, and Spectral Gaps. Journal of Functional Analysis. 158(1). 152–185. 60 indexed citations
14.
Aida, Shigeki. (1995). Sobolev Spaces over Loop Groups. Journal of Functional Analysis. 127(1). 155–172. 22 indexed citations
15.
Aida, Shigeki, Toru Masuda, & Ichirō Shigekawa. (1994). Logarithmic Sobolev Inequalities and Exponential Integrability. Journal of Functional Analysis. 126(1). 83–101. 88 indexed citations
16.
Aida, Shigeki & Ichirō Shigekawa. (1994). Logarithmic Sobolev Inequalities and Spectral Gaps: Perturbation Theory. Journal of Functional Analysis. 126(2). 448–475. 34 indexed citations
17.
Aida, Shigeki. (1993). Certain Gradient Flows and Submanifolds in Wiener Spaces. Journal of Functional Analysis. 112(2). 346–372. 6 indexed citations
18.
Aida, Shigeki. (1993). On the Ornstein-Uhlenbeck Operators on Wiener-Riemannian Manifolds. Journal of Functional Analysis. 116(1). 83–110. 9 indexed citations
19.
Aida, Shigeki. (1992). D∞-cohomology groups and D∞-maps on submanifolds in Wiener spaces. Journal of Functional Analysis. 107(2). 289–301. 3 indexed citations
20.
Aida, Shigeki. (1990). Support Theorem for Diffusion Processes on Hilbert Spaces. Publications of the Research Institute for Mathematical Sciences. 26(6). 947–965. 6 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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