Research Institute for Mathematical Sciences, Kyoto University

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19912020

most citedTopological Lattice Models in Four Dimensions

382 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2018Show all

39 papers · 1 filter

math.SG2018★ 3 cited

Equidistributed periodic orbits of $C^{\infty}$ -generic three-dimensional Reeb flows

Kei Irie

We prove that, for a $C^{\infty}$ -generic contact form $λ$ adapted to a given contact distribution on a closed three-manifold, there exists a sequence of periodic Reeb orbits which i…

cond-mat.str-el2018★ 21 cited

Disordered skyrmion phase stabilized by magnetic frustration in a chiral magnet

K. Karube, J. S. White, D. Morikawa +9

Magnetic skyrmions are vortex-like topological spin textures often observed to form a triangular-lattice skyrmion crystal in structurally chiral magnets with Dzyaloshinskii-Moriya…

math.AP2018★ 2 cited

Scattering for a mass critical NLS system below the ground state with and without mass-resonance condition

Takahisa Inui, Nobu Kishimoto, Kuranosuke Nishimura

We consider a mass-critical system of nonlinear Schödinger equations \begin{align*} \begin{cases} i\partial_t u +Δu =\bar{u}v,\\ i\partial_t v +κΔv =u^2, \end{cases} (t,x)\in \math…

cs.DS2018★ 1 cited

Approximating minimum representations of key Horn functions

Kristóf Bérczi, Endre Boros, Ondřej Čepek +2

Horn functions form a subclass of Boolean functions and appear in many different areas of computer science and mathematics as a general tool to describe implications and dependenci…

math.GM2018★ 1 cited

On the definition of neutrosophic logic

Takuma Imamura

Smarandache (2003) introduced a new set-valued fuzzy logic called (nonstandard) neutrosophic logic by using Robinson's nonstandard analysis. However, its definition involved many e…

math.AP2018★ 6 cited

Blow-up of the radially symmetric solutions for the quadratic nonlinear Schrödinger system without mass-resonance

Takahisa Inui, Nobu Kishimoto, Kuranosuke Nishimura

We consider the quadratic nonlinear Schrödinger system \begin{align*} \begin{cases} i\partial_t u +Δu =v \overline{u},\\ i\partial_t v +κΔv =u^2, \end{cases} \text{ on } I \times \…

math.RT2018★ 2 cited

Global crystal bases for integrable modules over a quantum symmetric pair of type AIII

Hideya Watanabe

In this paper, we study basic properties of global $$ -crystal bases for integrable modules over a quantum symmetric pair coideal subalgebra $U^{}$ associated t…

math.AP2018★ 4 cited

The Zakharov system in 4D radial energy space below the ground state

Zihua Guo, Kenji Nakanishi

We prove dynamical dichotomy into scattering and blow-up (in a weak sense) for all radial solutions of the Zakharov system in the energy space of four spatial dimensions that have…

math.PR2018★ 2 cited

Zero temperature limit for the Brownian directed polymer among Poissonian disasters

Ryoki Fukushima, Stefan Junk

We study a continuum model of directed polymer in random environment. The law of the polymer is defined as the Brownian motion conditioned to survive among space-time Poissonian di…

math.AG2018★ 6 cited

The universal Poisson deformation of hypertoric varieties and some classification results

Takahiro Nagaoka

In this paper, we study and describe the universal Poisson deformation space of hypertoric varieties concretely. In the first application, we show that affine hypertoric varieties…

math-ph2018★ 12 cited

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…

hep-th2018★ 43 cited

Logarithmic W-algebras and Argyres-Douglas theories at higher rank

Thomas Creutzig

Families of vertex algebras associated to nilpotent elements of simply-laced Lie algebras are constructed. These algebras are close cousins of logarithmic W-algebras of Feigin and…

math.AP2018★ 4 cited

Degenerate Laplacian: A Classification by Helicity

Naoki Sato, Zensho Yoshida

We study a class of generalized Laplacian operators by violating the ellipticity with degenerate metric tensors. The theory is motivated by the statistical mechanics of topological…

math-ph2018★ 3 cited

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…

math.PR2018★ 1 cited

Random conductance models with stable-like jumps: heat kernel estimates and Harnack inequalities

Xin Chen, Takashi Kumagai, Jian Wang

We establish two-sided heat kernel estimates for random conductance models with non-uniformly elliptic (possibly degenerate) stable-like jumps on graphs. These are long range count…

math.DG2018★ 2 cited

Convergence of mean curvature flow in hyperkähler manifolds

Keita Kunikawa, Ryosuke Takahashi

Inspired by the work of Leung-Wan, we study the mean curvature flow in hyperkähler manifolds starting from hyper-Lagrangian submanifolds, a class of middle dimensional submanifolds…

math.DG2018

An $L^{2}$ -index formula of monopoles with Dirac-type singularities

Masaki Yoshino

We prove the Fredholmness of Dirac operators of monopoles with Dirac-type singularities on oriented complete Riemannian $3$ -folds, and we also calculate the $L^{2}$ -indices of them.

math.SG2018★ 3 cited

Construction of Kuranishi structures on the moduli spaces of pseudo holomorphic disks: II

Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta +1

This is the second of a series of two articles in which we provide detailed and self-contained account of the construction of a system of Kuranishi structures on the moduli spaces…

math.AG2018★ 2 cited

Stokes shells and Fourier transforms

Takuro Mochizuki

Algebraic holonomic $D$ -modules on a complex line are classified by the associated topological data consisting of local systems with Stokes structure and the nearby and v…

math.NT2018★ 4 cited

Hecke Operators on Vector-Valued Modular Forms

Vincent Bouchard, Thomas Creutzig, Aniket Joshi

We study Hecke operators on vector-valued modular forms for the Weil representation $ρ_{L}$ of a lattice $L$ . We first construct Hecke operators $T_{r}$ that map vector-value…

math.QA2018★ 23 cited

Quantum Langlands duality of representations of W-algebras

Tomoyuki Arakawa, Edward Frenkel

We prove duality isomorphisms of certain representations of W-algebras which play an essential role in the quantum geometric Langlands Program and some related results.

math.PR2018

Slowdown estimates for one-dimensional random walks in random environment with holding times

Amir Dembo, Ryoki Fukushima, Naoki Kubota

We consider a one dimensional random walk in random environment that is uniformly biased to one direction. In addition to the transition probability, the jump rate of the random wa…