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
457 papers
On large deviation rate functions for a continuous-time directed polymer in weak disorder
Ryoki Fukushima, Stefan Junk
We show that the endpoint large deviation rate function for a continuous-time directed polymer agrees with the rate function of the underlying random walk near the origin in the wh…
Kazhdan-Lusztig conjecture via Zastava spaces
Alexander Braverman, Michael Finkelberg, Hiraku Nakajima
We deduce the Kazhdan-Lusztig conjecture on the multiplicities of simple modules over a simple complex Lie algebra in Verma modules in category O from the equivariant geometric Sat…
A lattice version of the Atiyah-Singer index theorem
Mayuko Yamashita
We formulate and prove a lattice version of the Atiyah-Singer index theorem. The main theorem gives a -theoretic formula for an index-type invariant of operators on lattice appr…
-Kato class measures and their relations with Sobolev embedding theorems for Dirichlet spaces
Takahiro Mori
In this paper, we discuss relationships between the continuous embeddings of Dirichlet spaces into Lebesgue spaces and the integrability of the assoc…
Global wellposedness for the energy-critical Zakharov system below the ground state
Timothy Candy, Sebastian Herr, Kenji Nakanishi
The Cauchy problem for the Zakharov system in the energy-critical dimension is considered. We prove that global well-posedness holds in the full (non-radial) energy space for…
A cubical model for -categories
Tim Campion, Chris Kapulkin, Yuki Maehara
We propose a new model for the theory of -categories (including the case ) in the category of marked cubical sets with connections, similar in flavor to compl…
Completeness and injectivity
Soichiro Fujii
We show that for any quantale , a -category is skeletal and complete if and only if it is injective with respect to fully faithful -functors.…
Quenched Invariance Principle for a class of random conductance models with long-range jumps
Marek Biskup, Xin Chen, Takashi Kumagai +1
We study random walks on (with ) among stationary ergodic random conductances that permit jumps of arbitrary length. Our…
Scaling limits of the three-dimensional uniform spanning tree and associated random walk
Omer Angel, David A. Croydon, Sarai Hernandez-Torres +1
We show that the law of the three-dimensional uniform spanning tree (UST) is tight under rescaling in a space whose elements are measured, rooted real trees, continuously embedded…
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…
On a topological counterpart of regularization for holonomic D-modules
Andrea D'Agnolo, Masaki Kashiwara
On a complex manifold, the embedding of the category of regular holonomic D-modules into that of holonomic D-modules has a left quasi-inverse functor $\mathcal{M}\mapsto\mathcal{M}…
Connes' bicentralizer problem for q-deformed Araki-Woods algebras
Cyril Houdayer, Yusuke Isono
Let be any strongly continuous orthogonal representation of on a real (separable) Hilbert space . For any , we den…
Enhanced nearby and vanishing cycles in dimension one and Fourier transform
Andrea D'Agnolo, Masaki Kashiwara
Enhanced ind-sheaves provide a suitable framework for the irregular Riemann-Hilbert correspondence. In this paper, we give some precisions on nearby and vanishing cycles for enhanc…
Affine Super Yangians and Rectangular -superalgebras
Mamoru Ueda
In this paper, we construct a homomorphism from the affine super Yangian $Y_{\ve_1,\ve_2}(\widehat{\mathfrak{sl}}(m|n))$ to the universal enveloping algebra of the rectangular -…
Euler numbers of Hilbert schemes of points on simple surface singularities and quantum dimensions of standard modules of quantum affine algebras
Hiraku Nakajima
We prove the conjecture by Gyenge, Némethi and Szendrői in arXiv:1512.06844, arXiv:1512.06848 giving a formula of the generating function of Euler numbers of Hilbert schemes of poi…
Instability of algebraic standing waves for nonlinear Schrödinger equations with double power nonlinearities
Noriyoshi Fukaya, Masayuki Hayashi
We consider a nonlinear Schrödinger equation with double power nonlinearity \begin{align*} i\partial_t u+Δu-|u|^{p-1}u+|u|^{q-1}u=0,\quad (t,x)\in\mathbb{R}\times\mathbb{R}^N, \end…
A finiteness theorem for holonomic DQ-modules on Poisson manifolds
Masaki Kashiwara, Pierre Schapira
On a complex symplectic manifold we prove a finiteness result for the global sections of solutions of holonomic DQ-modules in two cases: (a) by assuming that there exists a Poisson…
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…