Boundaries from Inhomogeneous Bernoulli Trials

Abstract

The boundary problem is considered for inhomogeneous increasing random walks on the square lattice \mathbbZ2+Z2+ with weighted edges. Explicit solutions are given for some instances related to the classical and generalized number triangles.

Keywords

Coin-tossing processes, weighted Pascal graph, boundary, combinatorial triangles

Citation

Gnedin, A V 2011, 'Boundaries from Inhomogeneous Bernoulli Trials', Progress in Probability, vol. 64, pp. 91-110. https://doi.org/10.1007/978-3-0346-0244-0_6