Hiroyasu Izeki

activity

20042026

most citedN-step energy of maps and fixed-point property of random groups

4 citations · 8 across the 5 of their papers we have counts for

collaborators

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3 papers · 1 filter

math.GR2026

Torsion subgroups and fixed-point rigidity in CAT(0) geometry

Jiankun Hou, Hiroyasu Izeki, Ran Ji +2

We develop new methods for studying groups acting on CAT(0) spaces, which lead to several general structural results. First, we prove that every torsion subgroup of a CAT(0) group…

math.GR2024

Torsion groups of subexponential growth cannot act on finite-dimensional CAT(0)-spaces without a fixed point

Hiroyasu Izeki, Anders Karlsson

We show that finitely generated groups which are Liouville and without infinite finite-dimensional linear representations must have a global fixed point whenever they act by isomet…

math.GR2022★ 2 cited

Isometric group actions with vanishing rate of escape on CAT(0) spaces

Hiroyasu Izeki

Let $Γ$ be a finitely generated group equipped with a symmetric and nondegenerate probability measure $μ$ with finite second moment, and $Y$ a CAT(0) space which is either proper o…