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Alin Bostan, INRIA-Saclay
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"Efficient Experimental Mathematics for Lattice Path Combinatorics"
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Classifying lattice walks in restricted lattices is an important
problem
in enumerative combinatorics. Recently, experimental mathematics has
been used
to explore and solve a number of difficult questions related to
lattice walks.
In this series of talks, we will give an overview of recent results
on
structural properties and explicit formulas for generating functions
of walks
in the quarter plane, with an emphasis on the algorithmic methodology.