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math.CO2013★ 2 cited
Towards a Combinatorial Understanding of Lattice Path Asymptotics
Samuel Johnson, Marni Mishna, Karen Yeats
We provide a new strategy to compute the exponential growth constant of enumeration sequences counting walks in lattice path models restricted to the quarter plane. The bounds aris…
math.CO2013★ 1 cited
Analytic Combinatorics of Planar Lattice Paths
Samuel Johnson
Lattice paths effectively model phenomena in chemistry, physics and probability theory. Asymptotic enumeration of lattice paths is linked with entropy in the physical systems being…