1 citations · 1 across the 3 of their papers we have counts for
3 papers
math-ph2026
Novel energy preserving bijections between affine crystals for and integer partitions
Sota Miyazawa, Taichiro Takagi
Let be the crystal of the level 1 integrable irreducible highest weight representation of the affine quantum group . We consider…
math.CO2024
A polynomial bosonic form of statistical configuration sums and the odd/even minimal excludant in integer partitions
Taichiro Takagi
Inspired by the study of the minimal excludant in integer partitions by G.E. Andrews and D. Newman, we introduce a pair of new partition statistics, sqrank and rerank. They are rel…
math.QA2000★ 1 cited
Scattering rules in soliton cellular automata associated with crystal bases
G. Hatayama, A. Kuniba, M. Okado +2
Solvable vertex models in a ferromagnetic regime give rise to soliton cellular automata at q=0. By means of the crystal base theory, we study a class of such automata associated wi…