山田 大貴

Graph algorithms using discrete curvature via optimal transport theory and their application to the financial market 

Transactions of the Japanese Society for Artificial Intelligence 39(4) FIN23-K_1 2024年7月1日  査読有り最終著者

The Ricci Curvature on Simplicial Complexes 

Theory and Applications of Graphs 10(2) 1-18 2023年12月  査読有り

Maximal diameter theorem for directed graphs of positive Ricci curvature 

Comm. Anal. Geometry 31(7) 1655-1668 2023年  査読有り

Heat Flow and Concentration of Measure on Directed Graphs with a Lower Ricci Curvature Bound 

Potential Analysis 2022年3月28日  査読有り

A CONSTRUCTION OF GRAPHS WITH POSITIVE RICCI CURVATURE 

Kyushu Journal of Mathematics 74(2) 291-311 2020年12月  査読有り筆頭著者

Geometric and spectral properties of directed graphs under a lower Ricci curvature bound 

Calculus of Variations and Partial Differential Equations 59(4) 2020年8月13日  査読有り最終著者

Relation between Combinatorial Ricci Curvature and Lin-Lu-Yau's Ricci Curvature on Cell Complexes 

Tokyo Journal of Mathematics 43(1) 25-45 2020年6月1日  査読有り筆頭著者責任著者

An estimate of the first non-zero eigenvalue of the Laplacian by the Ricci curvature on edges of graphs 

Osaka Journal of Mathematics 57(1) 151-163 2020年1月  査読有り筆頭著者

The Ricci curvature on directed graphs 

Journal of the Korean Mathematical Society 56(1) 113-125 2019年1月  査読有り