3 papers
quant-ph2025
Quantum vs classical Markov chains; Exactly solvable examples
Ryu Sasaki
A coinless quantisation procedure of general reversible Markov chains on graphs is presented. A quantum Hamiltonian H is obtained by a similarity transformation of the fundamental…
math.CA2025
Multivariate Hahn polynomials and difference equations
Ryu Sasaki
The multivariate Hahn polynomials are constructed explicitly as the common eigenvectors of a family of second order difference operators. They are orthogonal with respect to the hy…
math.CA2024
Discrete orthogonality relations for multi-indexed Laguerre and Jacobi polynomials
Choon-Lin Ho, Ryu Sasaki
The discrete orthogonality relations hold for all the orthogonal polynomials obeying three term recurrence relations. We show that they also hold for multi-indexed Laguerre and Jac…