Quantum interpretation of lattice paths
Quantum interpretation of lattice paths
In the 1980s, Viennot developed a combinatorial approach to studying mixed moments of orthogonal polynomials using Motzkin paths. Recently, an alternative combinatorial model for these mixed moments based on lecture hall paths was introduced in arXiv:2311.12761. For sequences of orthogonal polynomials, we establish here a bijection between the Motzin paths …