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math.PR2020★ 1 cited
A Characteristic Polynomial for The Transition Probability Matrix of A Correlated Random Walk on A Graph
Takashi Komatsu, Norio Konno, Iwao Sato
We define a correlated random walk (CRW) induced from the time evolution matrix (the Grover matrix) of the Grover walk on a graph , and present a formula for the characteristic…
math.CO2020
A note on the Grover walk and the generalized Ihara zeta function of the one-dimensional integer lattice
Takashi Komatsu, Norio Konno, Iwao Sato
Chinta, Jorgenson and Karlsson introduced a generalized version of the determinant formula for the Ihara zeta function associated to finite or infinite regular graphs. On the other…
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…