382 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Kyoto UniversityJP369 papers
- The University of TokyoJP33 papers
- Korea Institute for Advanced StudyKR13 papers
- The University of OsakaJP12 papers
- Centre National de la Recherche ScientifiqueFR10 papers
- Nagoya UniversityJP10 papers
- Seoul National UniversityKR10 papers
- Yukawa Institute for Theoretical PhysicsJP10 papers
- Fujian Normal UniversityCN8 papers
- Kavli Institute for the Physics and Mathematics of the UniverseJP8 papers
- National Research University Higher School of EconomicsRU8 papers
- Hiroshima UniversityJP7 papers
20 papers · 1 filter
Generalized hydrodynamic limit for the box-ball system
David A. Croydon, Makiko Sasada
We deduce a generalized hydrodynamic limit for the box-ball system, which explains how the densities of solitons of different sizes evolve asymptotically under Euler space-time sca…
Dissipative Brackets for the Fokker-Planck Equation in Hamiltonian Systems and Characterization of Metriplectic Manifolds
Naoki Sato
It is shown that the Fokker-Planck equation describing diffusion processes in noncanonical Hamiltonian systems exhibits a metriplectic structure, i.e. an algebraic bracket formalis…
Existence of ideal magnetofluid equilibria without continuous Euclidean symmetries
Naoki Sato
We study the existence of steady solutions of ideal magnetofluid systems (ideal MHD and ideal Euler equations) without continuous Euclidean symmetries. It is shown that all nontriv…
Local representation and construction of Beltrami fields II. Solenoidal Beltrami fields and ideal MHD equilibria
Naoki Sato, Michio Yamada
Object of the present paper is the local theory of solution for steady ideal Euler flows and ideal MHD equilibria. The present analysis relies on the Lie-Darboux theorem of differe…
Local Representation and Construction of Beltrami Fields
Naoki Sato, Michio Yamada
A Beltrami field is an eigenvector of the curl operator. Beltrami fields describe steady flows in fluid dynamics and force free magnetic fields in plasma turbulence. By application…
Beltrami operators
Naoki Sato
Beltrami fields occur as stationary solutions of the Euler equations of fluid flow and as force free magnetic fields in magnetohydrodynamics. In this paper we discuss the role of B…
Questions on provisional Coulomb branches of -dimensional gauge theories
Hiraku Nakajima
This is a supplement to [arXiv:1503.03676], where an approach towards a mathematically rigorous definition of the Coulomb branch of a -dimensional SUSY gauge theo…
Bethe's Quantum Numbers And Rigged Configurations
Anatol N. Kirillov, Reiho Sakamoto
We propose a method to determine the quantum numbers, which we call the rigged configurations, for the solutions to the Bethe ansatz equations for the spin-1/2 isotropic Heisenberg…
Towards a mathematical definition of Coulomb branches of -dimensional gauge theories, I
Hiraku Nakajima
Consider the -dimensional supersymmetric gauge theory associated with a compact Lie group and its quaternionic representation . Physicists study it…
Towards a state minimizing the output entropy of a tensor product of random quantum channels
Benoit Collins, Motohisa Fukuda, Ion Nechita
We consider the image of some classes of bipartite quantum states under a tensor product of random quantum channels. Depending on natural assumptions that we make on the states, th…
Geometry and Combinatorics of Crystal Melting
Masahito Yamazaki
We survey geometrical and especially combinatorial aspects of generalized Donaldson-Thomas invariants (also called BPS invariants) for toric Calabi-Yau manifolds, emphasizing the r…
A Unified Scheme of Measurement and Amplification Processes based on Micro-Macro Duality -- Stern-Gerlach experiment as a typical example
Ryo Harada, Izumi Ojima
A unified scheme for quantum measurement processes is formulated on the basis of Micro-Macro duality as a mathematical expression of the general idea of quantum-classical correspon…
White noise analysis on manifolds and the energy representation of a gauge group
Takahiro Hasebe
The energy representation of a gauge group on a Riemannian manifold has been discussed by several authors. Y. Shimada has shown the irreducibility for compact Riemannian manifold,…
Cohomological study on variants of the Mumford system, and integrability of the Noumi-Yamada system
Rei Inoue, Takao Yamazaki
The purpose of this paper is twofold. The first is to apply the method introduced in the works of Nakayashiki and Smirnov on the Mumford system to its variants. The other is to est…
Virtual turning points and bifurcation of Stokes curves for higher order ordinary differential equations
Takashi Aoki, Takahiro Kawai, Shunsuke Sasaki +2
For a higher order linear ordinary differential operator P, its Stokes curve bifurcates in general when it hits another turning point of P. This phenomenon is most neatly understan…
Synchronised Similar Triangles for Three-Body Orbit with Zero Angular Momentum
Toshiaki Fujiwara, Hiroshi Fukuda, Atsushi Kameyama +2
Geometrical properties of three-body orbits with zero angular momentum are investigated. If the moment of inertia is also constant along the orbit, the triangle whose vertexes are…
Joint Extension of States of Subsystems for a CAR System
Huzihiro Araki, Hajime Moriya
The problem of existence and uniqueness of a state of a joint system with given restrictions to subsystems is studied for a Fermion system, where a novel feature is non-commutativi…
Equilibrium Statistical Mechanics of Fermion Lattice Systems
Huzihiro Araki, Hajime Moriya
We study equilibrium statistical mechanics of Fermion lattice systems which require a different treatment compared with spin lattice systems due to the non-commutativity of local a…
Form factors of SU(N) invariant Thirring model
Yoshihiro Takeyama
We obtain a new integral formula for solutions of the rational quantum Knizhnik-Zamolodchikov equation associated with Lie algebra sl_{N} at level zero. Our formula contains the in…
Nonlinear Transformation Group of CAR Fermion Algebra
Mitsuo Abe, Katsunori Kawamura
Based on our previous work on the recursive fermion system in the Cuntz algebra, it is shown that a nonlinear transformation group of the CAR fermion algebra is induced from a $U(2…