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math.CO2020★ 3 cited
Polyharmonic functions and random processes in cones
Francois Chapon, Eric Fusy, Kilian Raschel
We investigate polyharmonic functions associated to Brownian motion and random walks in cones. These are functions which cancel some power of the usual Laplacian in the continuous…
math.CO2009
Interlacing Property of Zeros of Eigenvectors of Schrödinger Operators on Trees
Francois Chapon
We prove an analogue for trees of Courant's theorem on the interlacing property of zeros of eigenfunctions of a Schrödinger operator. Let be a finite tree, and a S…