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math.CO2016
Hypergeometric Expressions for Generating Functions of Walks with Small Steps in the Quarter Plane
Alin Bostan, Frédéric Chyzak, Mark van Hoeij +2
We study nearest-neighbors walks on the two-dimensional square lattice, that is, models of walks on defined by a fixed step set that is a subset of the non-zero vect…
math.CO2016
Classifying (almost)-Belyi maps with Five Exceptional Points
Mark van Hoeij, Vijay Jung Kunwar
We classify all rational functions whose branching pattern above {0, 1, infinity} satisfy a certain regularity condition with precisely d=5 exceptions. This work is motivated by so…