output
19992022
most citedComputational wave optics library for C++: CWO++ library

115 citations

22 papers

hep-th2022★ 6 cited

Dress code for infrared safe scattering in QED

Hayato Hirai, Sotaro Sugishita

We study the -matrix and inclusive cross-section for general dressed states in quantum electrodynamics. We obtain an infrared factorization formula of the -matrix elements fo…

hep-th2020★ 19 cited

IR finite S-matrix by gauge invariant dressed states

Hayato Hirai, Sotaro Sugishita

Dressed states were proposed to define the infrared (IR) finite -matrix in QED or gravity. We show that the original Kulish-Faddeev dressed states are not enough to cure the IR…

math.FA2019

Functions preserving operator means

Trung Hoa Dinh, Hiroyuki Osaka, Shuhei Wada

Let be a non-trivial operator mean in the sense of Kubo and Ando, and let the set of normalized positive operator monotone functions on . In this paper, w…

math.FA2019

Ando-Hiai type inequalities for operator means and operator perspectives

Fumio Hiai, Yuki Seo, Shuhei Wada

We improve the existing Ando-Hiai inequalities for operator means and present new ones for operator perspectives in several ways. We also provide the operator perspective version o…

math.FA2019★ 2 cited

Geometric convexity of an operator mean

Shuhei Wada

Let be an operator mean in the sense of Kubo and Ando. If the representation function of satisfies then the operator mean i…

math.LO2018★ 2 cited

Rosser provability and normal modal logics

Taishi Kurahashi

In this paper, we investigate Rosser provability predicates whose provability logics are normal modal logics. First, we prove that there exists a Rosser provability predicate whose…

math.LO2018

Uniform Lyndon interpolation property in propositional modal logics

Taishi Kurahashi

We introduce and investigate the notion of uniform Lyndon interpolation property (ULIP) which is a strengthening of both uniform interpolation property and Lyndon interpolation pro…

math.FA2018★ 2 cited

Ando-Hiai type inequalities for multivariate operator means

Fumio Hiai, Yuki Seo, Shuhei Wada

We present several Ando-Hiai type inequalities for -variable operator means for positive invertible operators. Ando-Hiai's inequalities given here are not only of the original t…

math.GT2017

Pointed harmonic volume and its relation to the extended Johnson homomorphism

Yuuki Tadokoro

The period for a compact Riemann surface, defined by the integral of differential 1-forms, is a classical complex analytic invariant, strongly related to the complex structure of t…

math.GT2016★ 1 cited

Harmonic volume and its applications

Yuuki Tadokoro

The period is a classical complex analytic invariant for a compact Riemann surface defined by integration of differential 1-forms. It has a strong relationship with the complex str…

hep-th2016

Nonlinear sigma model in discrete complex analysis

Masaru Kamata, Masayoshi Sekiguchi, Yuuki Tadokoro

We present a discrete version of the two-dimensional nonlinear sigma model examined by Belavin and Polyakov. We formulate it by means of Mercat's discrete complex analysis a…

math.FA2015

Equivalence relations among some inequalities on operator means

Shuhei Wada, Takeaki Yamazaki

We will consider about some inequalities on operator means for more than three operators, for instance, ALM and BMP geometric means will be considered. Moreover, log-Euclidean and…

math.FA2014★ 4 cited

Operator monotonicity of some functions

Masaru Nagisa, Shuhei Wada

We investigate the operator monotonicity of functions which was considered by V.E. Szabo.

cs.AI2014★ 17 cited

Outer-Product Hidden Markov Model and Polyphonic MIDI Score Following

Eita Nakamura, Tomohiko Nakamura, Yasuyuki Saito +2

We present a polyphonic MIDI score-following algorithm capable of following performances with arbitrary repeats and skips, based on a probabilistic model of musical performances. I…

math.AG2012

The period matrix of the hyperelliptic curve

Yuuki Tadokoro

A geometric algorithm is introduced for finding a symplectic basis of the first integral homology group of a compact Riemann surface, which is a -cyclic covering of ${\mathbb C}…

physics.optics2011★ 115 cited

Computational wave optics library for C++: CWO++ library

Tomoyoshi Shimobaba, Jian Tong Weng, Takahiro Sakurai +6

Diffraction calculations, such as the angular spectrum method, and Fresnel diffractions, are used for calculating scalar light propagation. The calculations are used in wide-rangin…

math.AG2010★ 1 cited

Nontrivial algebraic cycles in the Jacobian varieties of some quotients of Fermat curves

Yuuki Tadokoro

We obtain the trace map image of the values of certain harmonic volumes for some quotients of Fermat curves. This provides the algorithm that the algebraic cycles called by the k-t…

math.GT2005

The pointed harmonic volumes of hyperelliptic curves with Weierstrass base points

Yuuki Tadokoro

We give a explicit computation of the pointed harmonic volumes of hyperelliptic curves with Weierstrass base points, which are paraphrased into a combinatorial formula.

math.AG2005

A nontrivial algebraic cycle in the Jacobian variety of the Klein quartic

Yuuki Tadokoro

We prove some value of the harmonic volume for the Klein quartic is nonzero modulo ${1/2}\{mathbb Z}$, using special values of the generalized hypergeometric function …

nlin.SI2002★ 11 cited

Riemann-Liouville integrals of fractional order and extended KP hierarchy

Masaru Kamata, Atsushi Nakamula

An attempt is given to formulate the extensions of the KP hierarchy by introducing fractional order pseudo-differential operators. In the case of the extension with the half-order…

hep-th2001★ 2 cited

A q-analog of the ADHMN construction and axisymmetric multi-instantons

Masaru Kamata, Atsushi Nakamula

In the preceding paper (Phys. Lett. B463 (1999) 257), the authors presented a q-analog of the ADHMN construction and obtained a family of anti-selfdual configurations with a parame…

hep-th1999★ 22 cited

One-parameter family of selfdual solutions in classical Yang-Mills theory

Masaru Kamata, Atsushi Nakamula

The ADHM construction, which yields (anti-)selfdual configurations in classical Yang-Mills theories, is applied to an infinite dimensional l^2 vector space, and as a consequence, a…