8 citations · 31 across the 10 of their papers we have counts for
10 papers
Lattice models, deformed Virasoro algebra and reduction equation
Michael Lashkevich, Yaroslav Pugai, Jun'ichi Shiraishi +1
We study the fused currents of the deformed Virasoro algebra (DVA). By constructing a homotopy operator we show that for special values of the parameter of the algebra fused curren…
Efficiency in Micro-Behaviors and FL Bias
Kurihara Kazutaka, Yohei Tutiya
In this paper, we propose a model which simulates odds distributions of pari-mutuel betting system under two hypotheses on the behavior of bettors: 1. The amount of bets increases…
On Genus-Two Solutions for the ILW equation
Yohei Tutiya
The existence of theta function solutions of genus two for the ILW equation is established. A numerical example is also presented. The method basically goes along with the Kricheve…
Localizing Audiences' Gaze using a Multi-touch Electronic Whiteboard with sPieMenu
Kazutaka Kurihara, Naoshi Nagano, Yuta Watanabe +4
Direct-touch presentation devices such as touch-sensitive electronic whiteboards have two serious problems. First, the presenter's hand movements tend to distract the audience's at…
Periodic Benjamin-Ono equation with discrete Laplacian and 2D-Toda Hierarchy
Jun'ichi Shiraishi, Yohei Tutiya
We study the relation between the periodic Benjamin-Ono equation with discrete Laplacian and the two dimensional Toda hierarchy. We introduce the tau-functions tau_pm(z) for the pe…
Non-Central Limit Theorem Statistical Analysis for the "Long-tailed" Internet Society
Kazutaka Kurihara, Yohei Tutiya
This article presents a statistical analysis method and introduces the corresponding software package "tailstat," which is believed to be widely applicable to today's internet soci…
On some special solutions to periodic Benjamin-Ono equation with discrete Laplacian
Yohei Tutiya, Jun'ichi Shiraishi
We investigate a periodic version of the Benjamin-Ono (BO) equation associated with a discrete Laplacian. We find some special solutions to this equation, and calculate the values…
Periodic ILW equation with discrete Laplacian
J. Shiraishi, Y. Tutiya
We study an integro-differential equation which generalizes the periodic intermediate long wave (ILW) equation. The kernel of the singular integral involved is an elliptic function…
Exact shock solution of a coupled system of delay differential equations: a car-following model
Yohei Tutiya, Masahiro Kanai
In this paper, we present exact shock solutions of a coupled system of delay differential equations, which was introduced as a traffic-flow model called {\it the car-following mode…
The ILW hierarchy
Yohei Tutiya, Junkichi Satsuma
In this paper, we present a new hierarchy which includes the intermediate long wave (ILW) equation at the lowest order. This hierarchy is thought to be a novel reduction of the 1st…