M. Kimura

activity

20242026

collaborators

8 papers

math.GR2026

Coarse geometry of stable mixed commutator length I: duality and functional analysis on chains

Morimichi Kawasaki, Mitsuaki Kimura, Shuhei Maruyama +2

Let $G$ be a group and $N$ its normal subgroup. On the mixed commutator subgroup $[G, N]$ , the mixed stable commutator length $scl_{G, N}$ and the restriction of the ordinar…

math.MG2026

Fibonacci numbers and a metric on coprime pairs

Mitsuaki Kimura

In this paper, we introduce a metric on the set of pairs of coprime natural numbers. We explicitly construct a quasi-isometric embedding from the set of natural numbers into this m…

math.GT2025

Invariant quasimorphisms and generalized mixed Bavard duality

Morimichi Kawasaki, Mitsuaki Kimura, Shuhei Maruyama +2

This article provides an expository account of the celebrated duality theorem of Bavard and three its strengthenings. The Bavard duality theorem connects scl (stable commutator len…

math.DS2025

Topological vortex identification for two-dimensional turbulent flows in doubly periodic domains

Mitsuaki Kimura, Takeshi Matsumoto, Takashi Sakajo +2

The dynamics and statistical properties of two-dimensional (2D) turbulence are often investigated through numerical simulations of incompressible, viscous fluids in doubly periodic…

math.GR2025

Coarse group theoretic study on stable mixed commutator length

Morimichi Kawasaki, Mitsuaki Kimura, Shuhei Maruyama +2

Let $G$ be a group and $N$ a normal subgroup of $G$ . We study the large scale behavior, not the exact values themselves, of the stable mixed commutator length $sc l_{G, N}$ on the mi…

math.SG2025

Flux homomorphism and bilinear form constructed from Shelukhin's quasimorphism

Morimichi Kawasaki, Mitsuaki Kimura, Shuhei Maruyama +2

Given a closed connected symplectic manifold $(M, I ¨ )$ , we construct an alternating $R$ -bilinear form $b = b_{I^¼_{Sh}}$ on the real first cohom…