3 papers
math.RA2026
Injective Rota-Baxter operators of weight 1 on
Vsevolod Gubarev
We describe all injective Rota-Baxter operators of weight 1 on the polynomial algebra . When , the only one is . When $\mathrm{cha…
math.MG2026
Coarse Ricci curvature of hypergraphs and its generalization
MasaHiro Ikeda, Yu Kitabeppu, Yuuki Takai +1
In the present paper, we introduce a concept of Ricci curvature on hypergraphs for a nonlinear Laplacian. We prove that our definition of the Ricci curvature is a generalization of…
nlin.AO2025
Operator-theoretic Analysis of Mutual Interactions in Synchronized Dynamics
Yuka Hashimoto, Masahiro Ikeda, Hiroya Nakao +1
Analyzing synchronized nonlinear oscillators is one of the most important and attractive topics in nonlinear science. By understanding the interactions between the oscillators, we…