49 citations · 348 across the 45 of their papers we have counts for
4 papers · 2 filters
The rational Heun operator and Wilson biorthogonal functions
Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov
We consider the rational Heun operator defined as the most general second-order -difference operator which sends any rational function of type to a rational function…
Dunkl-Supersymmetric Orthogonal functions associated with classical orthogonal polynomials
Yu Luo, Satoshi Tsujimoto, Luc Vinet +1
We consider the eigenvalue problem associated with the Dunkl-type differential operator (in which the reflection operator R is involved) L = dx R + v(x), (v(-x) = -v(x)), in the co…
Dynamics of the ultra-discrete Toda lattice via Pitman's transformation
David A. Croydon, Makiko Sasada, Satoshi Tsujimoto
By encoding configurations of the ultra-discrete Toda lattice by piecewise linear paths whose gradient alternates between and , we show that the dynamics of the system can…
Spin Chains, Graphs and State Revival
Hiroshi Miki, Satoshi Tsujimoto, Luc Vinet
Connections between the 1-excitation dynamics of spin lattices and quantum walks on graphs will be surveyed. Attention will be paid to perfect state transfer (PST) and fractional r…