4 citations
6 papers
Terwilliger algebras and some related algebras defined by finite connected simple graphs
Akihide Hanaki, Masayoshi Yoshikawa
For a finite connected simple graph, the Terwilliger algebra is a matrix algebra generated by the adjacency matrix and idempotents corresponding to the distance partition with resp…
Minimum Supersymmetric Standard Model on the Noncommutative Geometry
Satoshi Ishihara, Hironobu Kataoka, Atsuko Matsukawa +2
We have obtained the supersymmetric extension of spectral triple which specify a noncommutative geometry(NCG). We assume that the functional space H constitutes of wave functions o…
A'Campo curvature bumps and the Dirac phenomenon near a singular point
S. Koike, T-C. Kuo, L. Paunescu
The level curves of an analytic function germ almost always have bumps at unexpected points near the singularity. This profound discovery of N. A'Campo is fully explored in this pa…
On the Geometry of sets satisfying the Sequence Selection Property
Satoshi Koike, Laurentiu Paunescu
In this paper we study fundamental directional properties of sets under the assumption of condition (SSP) (introduced in a previous paper). We show several transversality theorems…
Coherent Response in a Chaotic Neural Network
Haruhiko Nishimura, Naofumi Katada, Kazuyuki Aihara
We set up a signal-driven scheme of the chaotic neural network with the coupling constants corresponding to certain information, and investigate the stochastic resonance-like effec…
A Neural Chaos Model of Multistable Perception
Natsuki Nagao, Haruhiko Nishimura, Nobuyuki Matsui
We present a perception model of ambiguous patterns based on the chaotic neural network and investigate the characteristics through computer simulations. The results induced by the…