56 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Yokohama National UniversityJP13 papers
- Chiba UniversityJP8 papers
- High Energy Accelerator Research OrganizationJP7 papers
- The Graduate University for Advanced Studies, SOKENDAIJP4 papers
- Utsunomiya UniversityJP4 papers
- Kyushu UniversityJP3 papers
- Nagoya UniversityJP3 papers
- Rikkyo UniversityJP3 papers
- Tohoku UniversityJP3 papers
- Kavli Institute for the Physics and Mathematics of the UniverseJP2 papers
- Laboratório Nacional de Computação CientíficaBR2 papers
- Mount Fuji Research InstituteJP2 papers
6 papers · 1 filter
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…
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…
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…
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…
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…
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…