49 citations · 348 across the 45 of their papers we have counts for
6 papers · 1 filter
Exceptional Laurent biorthogonal polynomials through spectral transformations of generalized eigenvalue problems
Yu Luo, Satoshi Tsujimoto
A formulation is given for the spectral transformation of the generalized eigenvalue problem through the decomposition of the second-order differential operators. This allows us to…
Quantum walks on simplexes and multiple perfect state transfer
Hiroshi Miki, Satoshi Tsujimoto, Da Zhao
In this paper, we study quantum walks on the extension of association schemes. Various state transfers can be achieved on these graphs, such as multiple state transfer among extrem…
Linearization of the box-ball system with box capacity L
Atsushi Maeno, Satoshi Tsujimoto
We construct a bijection between the state of the box-ball system with box capacity L and a pair of two sequences. In time evolution, one of the sequences moves at speed 1, and the…
Generalization of the -BBS and the Schensted insertion algorithm
Katsuki Kobayashi, Satoshi Tsujimoto
The -BBS is the family of solitonic cellular automata obtained via the ultradiscretization of the elementary Toda orbits, which is a parametrized family of integrable systems un…
The single-indexed exceptional Krawtchouk polynomials
Hiroshi Miki, Satoshi Tsujimoto, Luc Vinet
The Darboux transformations of Krawtchouk polynomials are investigated and all possible exceptional Krawtchouk polynomials obtainable from a single-step Darboux transformation are…
Classical and quantum walks on paths associated with exceptional Krawtchouk polynomials
Hiroshi Miki, Satoshi Tsujimoto, Luc Vinet
Classical and quantum walks on some finite paths are introduced. It is shown that these walks have explicit solutions given in terms of exceptional Krawtchouk polynomials and their…