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math.PR2022
Quantum cohomology of the Grassmannian and unitary Dyson Brownian motion
Jérémie Guilhot, Cédric Lecouvey, Pierre Tarrago
We study a class of commuting Markov kernels whose simplest element describes the movement of particles on a discrete circle of size conditioned to not intersect each other…
math.PR2022
Harmonic functions for singular quadrant walks
Viet Hung Hoang, Kilian Raschel, Pierre Tarrago
We consider discrete (time and space) random walks confined to the quarter plane, with jumps only in directions with and small negative jumps, i.e., $i,j \geq…
math.CO2022
Basics on positively multiplicative graphs and algebras
Jérémie Guilhot, Cédric Lecouvey, Pierre Tarrago
An oriented graph is said positively multiplicative when its adjacency matrix embeds in a matrix algebra admitting a basis with nonnegative structure constants in…