R. Hirota and K. Kimura discovered integrable discretizations of the Euler and the Lagrange tops, given by birational maps. Their method is a specialization to the integrable context of a general discretization scheme introduced by W. Kahan and applicable to any vector field with a quadratic dependence on phase variables. According to a proposal by T. Ratiu, discretizations of the Hirota-Kimura...

We would like to thank Professors Charles Yuji Horioka (Osaka University) and Atsushi Seike (Keio University), Messrs. Takeshi Kimura (Bank of Japan, Policy Planning Office), Tomiyuki Kitamura (Bank of Japan, Financial Markets Department), and Toshitaka Sekine (Bank of Japan, Research and Statistics Department), participants at the seminars of the Kansai Institute for Social Economic Research a...

Kimura disease is a rare chronic inflammatory disorder of unknown etiology primarily seen in young Asian males. It is a benign disease with an indolent course, gradually increasing in size over months or years. It usually presents as a mass lesion in the subcutaneous tissue of the head and neck region or major salivary glands area often associated with regional lymphadenopathy. In some cases ly...

In this paper we present geometric features of group based phylogenetic models. We address a long standing problem of determining the ideal of the claw tree [SS05], [DK09]. We focus on the 3-Kimura model. In particular we present a precise geometric description of the variety associated to any tree on a Zariski open set. This set contains all biologically meaningful points. The result confirms ...

Kimura diffusions serve as a stochastic model for the evolution of gene frequencies in population genetics. Their infinitesimal generator is an elliptic differential operator whose second-order coefficients matrix degenerates on the boundary of the domain. In this article, we consider the inhomogeneous initial-value problem defined by generators of Kimura diffusions, and we establish C-estimate...

Kimura disease is a rare, benign, chronic inflammatory swelling of the subcutaneous tissue, lymph nodes, and glandular tissue. Characteristic features of the disease include, but not limited to, painless subcutaneous head and neck swelling, blood and tissue eosinophilia, and markedly elevated immunoglobulin E (IgE) levels. Herein, we report a rare case of Kimura disease manifesting as synchrono...

A new genus Nipponoluciola Ballantyne, Kawashima, Jusoh & Suzuki is proposed and described from males, females larvae for two species of Japanese fireflies (Coleoptera, Lampyridae, Luciolinae) which have aquatic larvae. The famous Genji-botaru, the Genji firefly, formerly Luciola cruciata Motschulsky, 1854, now stands under (Motschulsky) gen. et. comb. nov. It that original designation ...