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- Masato Hisakado
- 1996

We discussed relations between the full unitary matrix models and the Painlevé III. Coupling the Toda equations and the string equations, we derive a special case of the P III equation. From the Virasoro constrains, we can use the radial coordinate. The relation between t 1 and t −1 is like the complex conjugate.

- A Atkins, N R Wyborn, +6 authors J Green
- The Journal of biological chemistry
- 2000

The novel pore-forming toxin hemolysin E (HlyE, ClyA, or SheA) consists of a long four-helix bundle with a subdomain (beta tongue) that interacts with target membranes at one pole and an additional helix (alpha(G)) that, with the four long helices, forms a five-helix bundle (tail domain) at the other pole. Random amino acid substitutions that impair… (More)

- K Kitsukawa, S Mori, M Hisakado
- 2006

This econophysics work studies the long-range Ising model of a finite system with N spins and the exchange interaction J N and the external field H as a model for homogeneous credit portfolio of assets with default probability P d and default correlation ρ d. Based on the discussion on the (J, H) phase diagram, we develop a perturbative calculation method… (More)

- S Mori, K Kitsukawa, M Hisakado
- 2009

This paper generalizes Moody's correlated binomial default distribution for homogeneous (exchangeable) credit portfolio, which is introduced by Witt, to the case of inhomogeneous portfolios. As inhomogeneous portfolios, we consider two cases. In the first case, we treat a portfolio whose assets have uniform default correlation and non-uniform default… (More)

- Shintaro Mori, Masato Hisakado, Taiki Takahashi
- Physical review. E, Statistical, nonlinear, and…
- 2012

Observational learning is an important information aggregation mechanism. However, it occasionally leads to a state in which an entire population chooses a suboptimal option. When this occurs and whether it is a phase transition remain unanswered. To address these questions we perform a voting experiment in which subjects answer a two-choice quiz… (More)

- Masato Hisakado
- 1998

We consider the (coupled) Davey-Stewartson (DS) system and its Bäcklund transformations (BT). Relations among the Davey-Stewartson system, the double Kadomtsev-Petviashvili (KP) system and the Ablowitz-Ladik hierarchy (ALH) are established. The DS hierarchy and the double KP system are equivalent. The ALH is the BT of the DS system in a certain reduction.… (More)

- Shintaro Mori, Masato Hisakado
- Physical review. E, Statistical, nonlinear, and…
- 2015

We describe a universality class for the transitions of a generalized Pólya urn by studying the asymptotic behavior of the normalized correlation function C(t) using finite-size scaling analysis. X(1),X(2),... are the successive additions of a red (blue) ball [X(t)=1(0)] at stage t and C(t)≡Cov[X(1),X(t+1)]/Var[X(1)]. Furthermore, z(t)=∑(s=1)(t)X(s)/t… (More)

- Shintaro Mori, Masato Hisakado, Taiki Takahashi
- ArXiv
- 2012

We consider a situation where one has to choose an option with multiplier m. The multiplier is inversely proportional to the number of people who have chosen the option and is proportional to the return if it is correct. If one does not know the correct option, we call him a herder, and then there is a zero-sum game between the herder and other people who… (More)

- Masato Hisakado
- 2008

The soliton structure of a gauge theory proposed to describe chiral excitations in the multi-Layer Fractional Quantum Hall Effect is investigated. A new type of derivative multi-component nonlinear Schrödinger equation emerges as effective description of the system that supports novel chiral solitons. We discuss the classical properties of the solutions and… (More)

- Masato Hisakado
- 2008

We study the full unitary matrix models. Introducing a new term l log U , l plays the role of the discrete time. On the other hand, the full unitary matrix model contains a topological term. In the continuous limit it gives rise to a phase transition at θ = π. The ground state is characterize by the discrete time l. The discrete time l plays like the… (More)