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Lattice walks on the half line

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No logo availableBanff International Research Station (BIRS) for Mathematical Innovation and Discovery
 Gessel, Ira M.

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Lattice walks on the half line
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Lattice walks on the half-line
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23
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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Abstract
I will discuss proofs of the algebraicity of generating functions for walks on the half-line with an arbitrary set of integer steps, with emphasis on Paul Monsky's approach that reduces the problem to the case of Motzkin walks with noncommuting weights.
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Lattice walks at the Interface of Algebra, Analysis and Combinatorics (17w5090)14 / 23