Mathematics Wiskunde

Friday 11 March 2022

The algebraic area of lattice random walks

Speaker: Professor Stéphane Ouvry, LPTMS Orsay CNRS/Université Paris-Saclay
Time: 13:00
Venue: Mathematics Division, Room 3001 (streamed)

We give a summary of recent progress on the algebraic area enumeration of closed paths on planar lattices. Several connections are made with quantum mechanics and statistical mechanics. Explicit combinatorial formulae are proposed which rely on sums labelled by the multicompositions of the length of the paths.

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