2011 | OriginalPaper | Chapter
Boundaries from Inhomogeneous Bernoulli Trials
Author : Alexander Gnedin
Published in: Random Walks, Boundaries and Spectra
Publisher: Springer Basel
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The boundary problem is considered for inhomogeneous increasing random walks on the square lattice
$$\mathbb{Z}^2_+$$
with weighted edges. Explicit solutions are given for some instances related to the classical and generalized number triangles.