output
20142025
most citedHunting for quantum-classical crossover in condensed matter problems

43 citations

21 papers

astro-ph.IM2025

Finding New Debris Discs at Sub-millimetre Wavelengths

Mark Booth, Patricia Luppe, Sebastian Marino +9

Debris discs reveal the architectures and dynamical histories of planetary systems. Sub-millimetre observations trace large dust grains within debris discs, revealing their bulk pr…

quant-ph2024★ 1 cited

Type-Based Verification of Connectivity Constraints in Lattice Surgery

Ryo Wakizaka, Yasunari Suzuki, Atsushi Igarashi

Fault-tolerant quantum computation using lattice surgery can be abstracted as operations on graphs, wherein each logical qubit corresponds to a vertex of the graph, and multi-qubit…

math.AP2023★ 4 cited

The lifespan of classical solutions of one dimensional wave equations with semilinear terms of the spatial derivative

Takiko Sasaki, Shu Takamatsu, Hiroyuki Takamura

This paper is devoted to the lifespan estimates of small classical solutions of the initial value problems for one dimensional wave equations with semilinear terms of the spatial d…

math.AP2023★ 4 cited

The generalized combined effect for one dimensional wave equations with semilinear terms including product type

Ryuki Kido, Takiko Sasaki, Shu Takamatsu +1

We are interested in the so-called "combined effect" of two different kinds of nonlinear terms for semilinear wave equations in one space dimension. Recently, the first result with…

quant-ph2022★ 43 cited

Hunting for quantum-classical crossover in condensed matter problems

Nobuyuki Yoshioka, Tsuyoshi Okubo, Yasunari Suzuki +2

The intensive pursuit for quantum advantage in terms of computational complexity has further led to a modernized crucial question: {\it When and how will quantum computers outperfo…

math.AP2022★ 10 cited

The combined effect in one space dimension beyond the general theory for nonlinear wave equations

Katsuaki Morisawa, Takiko Sasaki, Hiroyuki Takamura

In this paper, we show the so-called "combined effect" of two different kinds of nonlinear terms for semilinear wave equations in one space dimension. Such a special phenomenon app…

nlin.PS2020

Rule 184 fuzzy cellular automaton as a mathematical model for traffic flow

Kohei Higashi, Junkichi Satsuma, Tetsuji Tokihiro

The rule 184 fuzzy cellular automaton is regarded as a mathematical model of traffic flow because it contains the two fundamental traffic flow models, the rule 184 cellular automat…

math.MG2020★ 3 cited

Universal consistency of the -NN rule in metric spaces and Nagata dimension

Benoît Collins, Sushma Kumari, Vladimir G. Pestov

The nearest neighbour learning rule (under the uniform distance tie breaking) is universally consistent in every metric space that is sigma-finite dimensional in the sense…

physics.soc-ph2019★ 11 cited

Revisiting the Human and Nature Dynamics model

Basil Grammaticos, Ralph Willox, Junkichi Satsuma

We present a simple model for describing the dynamics of the interaction between a homogeneous population or society, and the natural resources and reserves that the society needs…

cond-mat.soft2019★ 6 cited

Gradient flow model of mode-III fracture in Maxwell-type viscoelastic materials

Yoshimi Tanaka, Takeshi Takaishi

We formulate a phase field crack growth model for mode III fracture in a Maxwell-type viscoelastic material. To describe viscoelastic relaxation, a field variable of viscously flow…

math-ph2019★ 2 cited

Discrete Painlevé equations from singularity patterns: the asymmetric trihomographic case

Basil Grammaticos, Alfred Ramani, Ralph Willox +1

We derive the discrete Painlevé equations associated to the affine Weyl group E that can be represented by an (in the QRT sense) "asymmetric" trihomographic system. The m…

q-bio.MN2018

Role of self-loop in cell-cycle network of budding yeast

Shu-ichi Kinoshita, Hiroaki S. Yamada

Study of network dynamics is very active area in biological and social sciences. However, the relationship between the network structure and the attractors of the dynamics has not…

q-bio.PE2018

Complex pattern formation driven by the interaction of stable fronts in a competition-diffusion system

Lorenzo Contento, Masayasu Mimura

The ecological invasion problem in which a weaker exotic species invades an ecosystem inhabited by two strongly competing native species is modelled by a three-species competition-…

q-bio.PE2018★ 6 cited

Ecological invasion in competition-diffusion systems when the exotic species is either very strong or very weak

Lorenzo Contento, Danielle Hilhorst, Masayasu Mimura

Reaction-diffusion systems with a Lotka-Volterra-type reaction term, also known as competition-diffusion systems, have been used to investigate the dynamics of the competition amon…

math-ph2017★ 9 cited

Calculating the algebraic entropy of mappings with unconfined singularities

Alfred Ramani, Basil Grammaticos, Ralph Willox +2

We present a method for calculating the dynamical degree of a mapping with unconfined singularities. It is based on a method introduced by Halburd for the computation of the growth…

cs.DC2017

A Study to Optimize Heterogeneous Resources for Open IoT

Yoji Yamato, Naoto Hoshikawa, Hirofumi Noguchi +2

Recently, IoT technologies have been progressed, and many sensors and actuators are connected to networks. Previously, IoT services were developed by vertical integration style. Bu…

math-ph2017★ 1 cited

Multiplicative equations related to the affine Weyl group E

Basil Grammaticos, Alfred Ramani, Ralph Willox +1

We derive integrable equations starting from autonomous mappings with a general form inspired by the multiplicative systems associated to the affine Weyl group E. Five su…

math.NA2015★ 3 cited

Potential theoretic approach to design of accurate formulas for function approximation in symmetric weighted Hardy spaces

Ken'ichiro Tanaka, Tomoaki Okayama, Masaaki Sugihara

We propose a method for designing accurate interpolation formulas on the real axis for the purpose of function approximation in weighted Hardy spaces. In particular, we consider th…

nlin.CG2015★ 3 cited

Exact solution of a delay difference equation modeling traffic flow and their ultra-discrete limit

Keisuke Matsuya, Masahiro Kanai

We consider a car-following model described by a delay difference equation and give its exact solutions that present propagation of a traffic jam. This model is a discrete-time ver…

math-ph2015★ 18 cited

Singularity confinement and full-deautonomisation: a discrete integrability criterion

Basil Grammaticos, Alfred Ramani, Ralph Willox +2

We present a new approach to singularity confinement which makes it an efficient and reliable discrete integrability detector. Our method is based on the full-deautonomisation proc…

math.NA2014★ 3 cited

A fast and accurate numerical method for the symmetric Lévy processes based on the Fourier transform and sinc-Gauss sampling formula

Ken'ichiro Tanaka

In this paper, we propose a fast and accurate numerical method based on Fourier transform to solve Kolmogorov forward equations of symmetric scalar Lévy processes. The method is ba…