2 citations · 3 across the 11 of their papers we have counts for
4 papers · 1 filter
On a Rogers-Ramanujan type identity from crystal base theory
Jehanne Dousse, Jeremy Lovejoy
We refine and generalise a Rogers-Ramanujan type partition identity arising from crystal base theory. Our proof uses the variant of the method of weighted words recently introduced…
Weighted dependency graphs and the Ising model
Jehanne Dousse, Valentin Féray
Weighted dependency graphs have been recently introduced by the second author, as a toolbox to prove central limit theorems. In this paper, we prove that spins in the -dimension…
Unification, refinements and companions of generalisations of Schur's theorem
Jehanne Dousse
We prove a general theorem on overpartitions with difference conditions that unifies generalisations of Schur's theorem due to Alladi-Gordon, Andrews, Corteel-Lovejoy and the autho…
Siladić's theorem: weighted words, refinement and companion
Jehanne Dousse
In a previous paper, the author gave a combinatorial proof and refinement of Siladić's theorem, a Rogers-Ramanujan type partition identity arising from the study of Lie algebras. H…