145 citations · 1.2k across the 85 of their papers we have counts for
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Explicit formulas for the generalized Hermite polynomials in superspace
Patrick Desrosiers, Luc Lapointe, Pierre Mathieu
We provide explicit formulas for the orthogonal eigenfunctions of the supersymmetric extension of the rational Calogero-Moser-Sutherland model with harmonic confinement, i.e., the…
Jagged partitions
J. -F. Fortin, P. Jacob, P. Mathieu
By jagged partitions we refer to an ordered collection of non-negative integers with for some positive integer , further subject to some weakly…
Convergence to equilibrium for finite Markov processes, with application to the Random Energy Model
Pierre MATHIEU, Pierre PICCO
We estimate the distance in total variation between the law of a finite state Markov process at time t, starting from a given initial measure, and its unique invariant measure. We…
Generating function for K-restricted jagged partitions
J. -F. Fortin, P. Jacob, P. Mathieu
We present a natural extension of Andrews' multiple sums counting partitions with difference 2 at distance , by deriving the generating function for -restricted jagged part…
Generalized Hermite polynomials in superspace as eigenfunctions of the supersymmetric rational CMS model
Patrick Desrosiers, Luc Lapointe, Pierre Mathieu
We present an algebraic construction of the orthogonal eigenfunctions of the supersymmetric extension of the rational Calogero-Moser-Sutherland model with harmonic confinement. The…
Isoperimetry and heat kernel decay on percolation clusters
Pierre Mathieu, Elisabeth Remy
We prove that the heat kernel on the infinite Bernoulli percolation cluster in Z^d almost surely decays faster than t^{-d/2}. We also derive estimates on the mixing time for the ra…