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20062025
most citedDigital holographic particle volume reconstruction using a deep neural network

56 citations

Showing math.COShow all

6 papers · 1 filter

math.CO2020

The limit theorem with respect to the matrices on non-backtracking paths of a graph

Takehiro Hasegawa, Takashi Komatsu, Norio Konno +4

We give a limit theorem with respect to the matrices related to non-backtracking paths of a regular graph. The limit obtained closely resembles the th moments of the arcsine law…

math.CO2019

A zeta function related to the transition matrix of the discrete-time quantum walk on a graph

Norio Konno, Iwao Sato, Etsuo Segawa

We present the structure theorem for the positive support of the cube of the Grover transition matrix of the discrete-time quantum walk (the Grover walk) on a general graph und…

math.CO2019★ 1 cited

Zeta functions with respect to general coined quantum walk of periodic graphs

Takashi Komatsu, Norio Konno, Iwao Sato

We define a zeta function of a graph by using the time evolution matrix of a general coined quantum walk on it, and give a determinant expression for the zeta function of a finite…

math.CO2016

The quaternionic second weighted zeta function of a graph and the Study determinant

Norio Konno, Hideo Mitsuhashi, Iwao Sato

We establish a generalization of the second weighted zeta function of a graph to the case of quaternions. For an arc-weighted graph whose weights are quaternions, we define the sec…

math.CO2015

The quaternionic weighted zeta function of a graph

Norio Konno, Hideo Mitsuhashi, Iwao Sato

We establish the quaternionic weighted zeta function of a graph and its Study determinant expressions. For a graph with quaternionic weights on arcs, we define a zeta function by u…

math.CO2006

Factorization formulas for Macdonald polynomials

Francois Descouens, Hideaki Morita

The aim of this note is to give some factorization formulas for different versions of the Macdonald polynomials when the parameter t is specialized at roots of unity, generalizing…