6 citations · 9 across the 4 of their papers we have counts for
4 papers
Multiplicative partition functions for reverse plane partitions derived from an integrable dynamical system
Shuhei Kamioka
A close connection of reverse plane partitions with an integrable dynamical system called the discrete two-dimensional (2D) Toda molecule is clarified. It is shown that a multiplic…
Plane partitions with bounded size of parts and biorthogonal polynomials
Shuhei Kamioka
Nice formulae for plane partitions with bounded size of parts (or boxed plane partitions), which generalize the norm-trace generating function by Stanley and the trace generating f…
Laurent biorthogonal polynomials, q-Narayana polynomials and domino tilings of the Aztec diamonds
Shuhei Kamioka
A Töplitz determinant whose entries are described by a q-analogue of the Narayana polynomials is evaluated by means of Laurent biorthogonal polynomials which allow of a combinatori…
Combinatorial expressions of the solutions to initial value problems of the discrete and ultradiscrete Toda molecules
Shuhei Kamioka, Tomoaki Takagaki
Combinatorial expressions are presented to the solutions to initial value problems of the discrete and ultradiscrete Toda molecules. For the discrete Toda molecule, a subtraction-f…