4 citations · 8 across the 5 of their papers we have counts for
6 papers
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…
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…
Isometric group actions with vanishing rate of escape on CAT(0) spaces
Hiroyasu Izeki
Let be a finitely generated group equipped with a symmetric and nondegenerate probability measure with finite second moment, and a CAT(0) space which is either proper o…
N-step energy of maps and fixed-point property of random groups
Hiroyasu Izeki, Takefumi Kondo, Shin Nayatani
We prove that a random group of the graph model associated with a sequence of expanders has fixed-point property for a certain class of CAT(0) spaces. We use Gromov's criterion for…
Fixed-point property of random quotients by plain words
Hiroyasu Izeki
We show a fixed-point property of random quotients by plain words for a wide class of CAT(0) spaces.
Combinatorial harmonic maps and discrete-group actions on Hadamard spaces
Hiroyasu Izeki, Shin Nayatani
We use the combinatorial harmonic map theory to study the isometric actions of discrete groups on Hadamard spaces. Given a finitely generated group acting by automorphisms, properl…