184 citations
- The University of TokyoJP15 papers
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4 papers · 1 filter
A matrix-valued point interactions model
Hakim Boumaza
We study a matrix-valued Schrödinger operator with random point interactions. We prove the absence of absolutely continuous spectrum for this operator by proving that away from a d…
Equation of motion for incompressible mixed fluid driven by evaporation and its application to online rankings
Kumiko Hattori, Tetsuya Hattori
We give a unique classical solution to initial value problem for a system of partial differential equations for the densities of components of one dimensional incompressible fluid…
Hölder continuity of the IDS for matrix-valued Anderson models
Boumaza Hakim
We study a class of continuous matrix-valued Anderson models acting on $L^{2}(\R^{d})\otimes \C^{N}$. We prove the existence of their Integrated Density of States for any …
Are Vortex Numbers Preserved?
Yoshiaki Maeda, Akifumi Sako
We study noncommutative vortex solutions that minimize the action functional of the Abelian Higgs model in 2-dimensional noncommutative Euclidean space. We first consider vortex so…