Tomoshige Yukita

activity

20152026

most citedOn the growth rate of ideal Coxeter groups in hyperbolic 3-space

1 citations · 1 across the 8 of their papers we have counts for

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math.GR2026

The space of marked Dyer systems, monotonicity, and continuity of growth rates

Tomoshige Yukita

The space $G_{n}$ of $n$ -marked groups provides a natural framework for studying algebraic and geometric invariants under deformation. In general, the growth rate is not co…

math.GR2022

Coxeter systems with $2$ -dimensional Davis complexes, growth rates and Perron numbers

Naomi Bredon, Tomoshige Yukita

In this paper, we study growth rates of Coxeter systems with Davis complexes of dimension at most $2$ . We show that if the Euler characteristic $χ$ of the nerve of a Coxeter system…

math.GR2020

On the continuity of the growth rate on the space of Coxeter systems

Tomoshige Yukita

Floyd showed that if a sequence of compact hyperbolic Coxeter polygons converges, then so does the sequence of the growth rates of the Coxeter groups associated with the polygons.…

The space of marked Dyer systems, monotonicity, and continuity of growth rates

Coxeter systems with 2-dimensional Davis complexes, growth rates and Perron numbers

On the continuity of the growth rate on the space of Coxeter systems

Coxeter systems with $2$ -dimensional Davis complexes, growth rates and Perron numbers