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
36 papers · 1 filter
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…
An additive basis for the cohomology rings of regular nilpotent Hessenberg varieties
Makoto Enokizono, Tatsuya Horiguchi, Takahiro Nagaoka +1
In this paper we construct an additive basis for the cohomology ring of a regular nilpotent Hessenberg variety which is obtained by extending all Poincaré duals of smaller regular…
Birational geometry for the covering of a nilpotent orbit closure II
Yoshinori Namikawa
Let be a nilpotent orbit of a complex semisimple Lie algebra and let be the finite covering associated with the universal covering of . In…
Graded quiver varieties and singularities of normalized R-matrices for fundamental modules
Ryo Fujita
We present a simple unified formula expressing the denominators of the normalized R-matrices between the fundamental modules over the quantum loop algebras of type ADE. It has an i…
Algebraic entropy of sign-stable mutation loops
Tsukasa Ishibashi, Shunsuke Kano
We introduce a property of mutation loops, called the sign stability, with a focus on an asymptotic behavior of the iteration of the tropical -transformation. A sign-s…
Asymmetric completions of partial metric spaces
Takuma Imamura
Ge and Lin (2015) proved the existence and the uniqueness of p-Cauchy completions of partial metric spaces under symmetric denseness. They asked if every (non-empty) partial metric…
Monoidal categorification and quantum affine algebras
Masaki Kashiwara, Myungho Kim, Se-jin Oh +1
We introduce and investigate new invariants on the pair of modules and over quantum affine algebras by analyzing their associated R-matrices. From new…
Dimension Formulae and Generalised Deep Holes of the Leech Lattice Vertex Operator Algebra
Sven Möller, Nils R. Scheithauer
We prove a dimension formula for the weight-1 subspace of a vertex operator algebra obtained by orbifolding a strongly rational, holomorphic vertex oper…
Distribution of the random walk conditioned on survival among quenched Bernoulli obstacles
Jian Ding, Ryoki Fukushima, Rongfeng Sun +1
Place an obstacle with probability independently at each vertex of and consider a simple symmetric random walk that is killed upon hitting one of the obstacles.…
Vanishing theorems for the mod cohomology of some simple Shimura varieties
Teruhisa Koshikawa
We show that the mod cohomology of a simple Shimura variety treated in Harris-Taylor's book vanishes outside a certain nontrivial range after localizing at any non-Eisenstein i…
The Atiyah-Patodi-Singer index and domain-wall fermion Dirac operators
Hidenori Fukaya, Mikio Furuta, Shinichiroh Matsuo +3
We introduce a mathematician-friendly formulation of the physicist-friendly derivation of the Atiyah-Patodi-Singer index of our previous paper. Our viewpoint sheds some new light o…
Alcove paths and Gelfand-Tsetlin patterns
Hideya Watanabe, Keita Yamamura
In their study of the equivariant K-theory of the generalized flag varieties , where is a complex semisimple Lie group, and is a parabolic subgroup of , Lenart and…
Heat kernel estimates and parabolic Harnack inequalities for symmetric Dirichlet forms
Zhen-Qing Chen, Takashi Kumagai, Jian Wang
In this paper, we consider the following symmetric Dirichlet forms on a metric measure space : $$\mathcal{E}(f,g) = \mathcal{E}(^{(c)}(f,g)+\int_{M\times M} (f(x)-f(y))(g(…
Enhanced specialization and microlocalization
Andrea D'Agnolo, Masaki Kashiwara
Enhanced ind-sheaves provide a suitable framework for the irregular Riemann-Hilbert correspondence. In this paper, we show how Sato's specialization and microlocalization functors…
Large Scale Geometries of Infinite Strings
Bakhadyr Khoussainov, Toru Takisaka
We introduce geometric consideration into the theory of formal languages. We aim to shed light on our understanding of global patterns that occur on infinite strings. We utilise me…
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…
Necessary conditions for local controllability of a particular class of systems with two scalar controls
Laetitia Giraldi, Pierre Lissy, Clément Moreau +1
We consider affine control systems with two scalar controls, such that one control vector field vanishes at an equilibrium state. We state two necessary conditions of local control…
Efficient simulation of filament elastohydrodynamics in three dimensions
Benjamin J. Walker, Kenta Ishimoto, Eamonn A. Gaffney
Fluid-structure simulations of slender inextensible filaments in a viscous fluid are often plagued by numerical stiffness. Recent coarse-graining studies have reduced the computati…
On the weak relative Dixmier property
Amine Marrakchi
We show that every inclusion of von Neumann algebras with a faithful normal conditional expectation has the weak relative Dixmier property. This answers a question of Popa \cite{Po…
The pairwise hydrodynamic interactions of synchronized spermatozoa
Benjamin J. Walker, Kenta Ishimoto, Eamonn A. Gaffney
The journey of mammalian spermatozoa in nature is well-known to be reliant on their individual motility. Often swimming in crowded microenvironments, the progress of any single swi…
The Hitchin--Kobayashi Correspondence for Quiver Bundles over Generalized Kähler Manifolds
Zhi Hu, Pengfei Huang
In this paper, we establish the Hitchin--Kobayashi correspondence for the -holomorphic quiver bundle over a compact generalized Kähler manifold $(X, I_+,…
Superharmonic instability of nonlinear traveling wave solutions in Hamiltonian systems
N. Sato, M. Yamada
The problem of linear instability of a nonlinear traveling wave in a canonical Hamiltonian system with translational symmetry subject to superharmonic perturbations is discussed. I…
Stability and Indecomposability of the Representations of Quivers of -type
Pengfei Huang, Zhi Hu
In his paper \cite{MR1}, Markus Reineke proposed a conjecture that there exists a stable weight system for every indecomposable representation of Dynkin type quiver. In this pa…
Natural Construction of Ten Borcherds-Kac-Moody Algebras Associated with Elements in
Sven Möller
Borcherds-Kac-Moody algebras generalise finite-dimensional, simple Lie algebras. Scheithauer showed that there are exactly ten Borcherds-Kac-Moody algebras whose denominator identi…