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 ${\mathcal{D}}_{[n,i,j]}$ and ${\mathcal{P}}_{[n,i,j]}$. These paths consist of sequences…