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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

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math.DG2012★ 4 cited

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…

math.DG2004★ 2 cited

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…