145 citations · 1.2k across the 85 of their papers we have counts for
5 papers · 1 filter
Embedding of bases: from the M(2,2k+1) to the M(3,4k+2-delta) models
P. Jacob, P. Mathieu
A new quasi-particle basis of states is presented for all the irreducible modules of the M(3,p) models. It is formulated in terms of a combination of Virasoro modes and the modes o…
Classical symmetric functions in superspace
Patrick Desrosiers, Luc Lapointe, Pierre Mathieu
We present the basic elements of a generalization of symmetric function theory involving functions of commuting and anticommuting (Grassmannian) variables. These new functions, cal…
Carne--Varopoulos bounds for centered random walks
Pierre Mathieu
We extend the Carne--Varopoulos upper bound on the probability transitions of a Markov chain to a certain class of nonreversible processes by introducing the definition of a ``cent…
Parafermionic derivation of Andrews-type multiple sums
P. Jacob, P. Mathieu
A multi-parafermion basis of states for the Z_k parafermionic models is derived. Its generating function is constructed by elementary steps. It corresponds to the Andrews multiple-…
Quenched invariance principles for random walks on percolation clusters
P. Mathieu, A. L. Piatnitski
We prove the almost sure ('quenched') invariance principle for a random walker on an infinite Bernoulli percolation cluster in where is larger or equal than 2.