13 citations · 40 across the 13 of their papers we have counts for
13 papers
The -arithmetic hyperbolic lattices, , in three dimensions
G. J. Martin, K. Salehi, Y. Yamashita
We identify the finitely many arithmetic lattices in the orientation preserving isometry group of hyperbolic -space generated by an element of order and a…
Random Kleinian Groups, II : Two parabolic generators
Gaven Martin, Graeme O'Brien, Yasushi Yamashita
In earlier work we introduced geometrically natural probability measures on the group of all Möbius transformations in order to study "random" groups of Möbius transformations, ran…
The realization problem for Jørgensen numbers
Yasushi Yamashita, Ryosuke Yamazaki
Let G be a two generator subgroup of PSL(2,C). The Jorgensen number J(G) of G is defined by J(G)=inf{ |tr^2 A-4|+|tr[A,B]-2| ; G=<A,B>}. If G is a non-elementary Kleinian group, th…
The diagonal slice of Schottky space
Caroline Series, Ser Peow Tan, Yasushi Yamashita
An irreducible representation of the free group on two generators X,Y into SL(2,C) is determined up to conjugation by the traces of X,Y and XY. We study the diagonal slice of repre…
The growth of torus link groups
Yoshiyuki Nakagawa, Makoto Tamura, Yasushi Yamashita
Let be a finitely generated group with a finite generating set . For , let be the length of the shortest word over representing . The growth series o…
Non-hyperbolic automatic groups and groups acting on CAT(0) cube complex
Yoshiyuki Nakagawa, Makoto Tamura, Yasushi Yamashita
We discuss a problem posed by Gersten: Is every automatic group which does not contain Z+Z subgroup, hyperbolic? To study this question, we define the notion of "n-tracks of length…