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math.CO2023
Matrix continued fractions associated with lattice paths, resolvents of difference operators, and random polynomials
J. Kim, A. López-García, V. A. Prokhorov
We begin our analysis with the study of two collections of lattice paths in the plane, denoted and . These paths consist of sequences…
math.CO2022
Lattice paths, vector continued fractions, and resolvents of banded Hessenberg operators
Abey López-García, Vasiliy A. Prokhorov
We give a combinatorial interpretation of vector continued fractions obtained by applying the Jacobi-Perron algorithm to a vector of resolvent functions of a banded Hesse…