70 citations
4 papers
Two non-nilpotent linear transformations that satisfy the cubic -Serre relations
Tatsuro Ito, Paul Terwilliger
Let denote an algebraically closed field with characteristic 0, and let denote a nonzero scalar in that is not a root of unity. Let denote the unital associative…
Chemo-Sensitive Running Droplet
Yutaka Sumino, Masaharu Nagayama, Hiroyuki Kitahata +4
Chemical control of the spontaneous motion of a reactive oil droplet moving on a glass substrate under an aqueous phase is reported. Experimental results show that the self-motion…
A Canonical Ensemble Approach to the Fermion/Boson Random Point Processes and its Applications
H. Tamura, K. R. Ito
We introduce the boson and the fermion point processes from the elementary quantum mechanical point of view. That is, we consider quantum statistical mechanics of canonical ensembl…
A volume formula for hyperbolic tetrahedra in terms of edge lengths
Jun Murakami, Akira Ushijima
We give a closed formula for volumes of generic hyperbolic tetrahedra in terms of edge lengths. The cue of our formula is by the volume conjecture for the Turaev-Viro invariant of…