1 citations · 1 across the 8 of their papers we have counts for
9 papers
Magnitude of homogeneous Moran sets in the unit interval
Ryo Matsuda, Tomoshige Yukita
Magnitude, denoted by , is a real-valued invariant of compact metric spaces whose large-scale growth reflects their geometry. Willerton showed that, for a co…
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…
Coxeter systems with -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 . We show that if the Euler characteristic of the nerve of a Coxeter system…
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.
Construction of infinite series of non-simple ideal hyperbolic Coxeter 4-polytopes and their growth rates
Tomoshige Yukita
We construct infinite series of non-simple ideal hyperbolic Coxeter 4-polytopes whose growth rates are Perron numbers. This infinite series is the first example of such a non-compa…
Growth rates of 3-dimensional hyperbolic Coxeter groups are Perron numbers
Tomoshige Yukita
In this paper we consider the growth rates of 3-dimensional hyperbolic Coxeter polyhedra some of its dihedral angles are for . By combining with the classical…
On the growth rates of cofinite 3-dimensional hyperbolic Coxeter groups whose dihedral angles are of the form for
Tomoshige Yukita
We study arithmetic properties of the growth rates of cofinite 3-dimensional hyperbolic Coxeter groups whose dihedral angles are of the form for and show…
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…