Prof. Gaston Darboux, For. Mem. R.S.

Prof. Dr. Prof. Prof.

A Letter for Honoring Prof. Takeshi Matsuura

The Gaston Tool for Frequent Subgraph Mining

Given a database of graphs, structure mining algorithms search for all substructures that satisfy constraints such as minimum frequency, minimum confidence, minimum interest and maximum frequency. In order to make frequent subgraph mining more efficient, we propose to search with steps of increasing complexity. We present the GrAph/Sequence/Tree extractiON (Gaston) tool that implements this ide...

Darboux Integrals for Schrödinger Planar Vector Fields via Darboux Transformations

In this paper we study the Darboux transformations of planar vector fields of Schrödinger type. Using the isogaloisian property of Darboux transformation we prove the “invariance” of the objects of the “Darboux theory of integrability”. In particular, we also show how the shape invariance property of the potential is important in order to preserve the structure of the transformed vector field. ...

Sign Problem and Mem * †

The sign problem is notorious in Monte Carlo simulations of lattice QCD with the finite density, lattice field theory (LFT) with a θ term and quantum spin models. In this report, to deal with the sign problem, we apply the maximum entropy method (MEM) to LFT with the θ term and investigate to what extent the MEM is applicable to this issue. Based on this study, we also make a brief comment abou...