1 citations · 1 across the 2 of their papers we have counts for
4 papers
The space of marked Dyer systems, monotonicity, and continuity of growth rates
Tomoshige Yukita
The space of -marked groups provides a natural framework for studying algebraic and geometric invariants under deformation. In general, the growth rate is not co…
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.…
Locally rigid right-angled Coxeter groups with Fuchsian ends in dimension 5
Tomoshige Yukita
In this paper, we construct a right-angled 5-polytope P of finite volume such that all the right-angled Coxeter groups with Fuchsian ends obtained from P are locally rigid.
On the growth rate of ideal Coxeter groups in hyperbolic 3-space
Yohei Komori, Tomoshige Yukita
We study the set G of growth rates of of ideal Coxeter groups in hyperbolic 3-space which consists of real algebraic integers greater than 1. We show that (1) G is unbounded above…