9 citations · 16 across the 5 of their papers we have counts for
5 papers
Dequantization Barriers for Guided Stoquastic Hamiltonians
Yassine Hamoudi, Yvan Le Borgne, Shrinidhi Teganahally Sridhara
We construct a probability distribution, induced by the Perron--Frobenius eigenvector of an exponentially large graph, which cannot be efficiently sampled by any classical algorith…
Statistics on parallelogram polyominoes and a q,t-analogue of the Narayana numbers
Jean-Christophe Aval, Michele D'Adderio, Mark Dukes +2
We study the statistics area, bounce and dinv on the set of parallelogram polyominoes having a rectangular m times n bounding box. We show that the bi-statistics (area, bounce) and…
Parallelogram polyominoes, the sandpile model on a complete bipartite graph, and a q,t-Narayana polynomial
Mark Dukes, Yvan Le Borgne
We classify recurrent configurations of the sandpile model on the complete bipartite graph K_{m,n} in which one designated vertex is a sink. We present a bijection from these recur…
A normalization formula for the Jack polynomials in superspace and an identity on partitions
Luc Lapointe, Yvan Le Borgne, Philippe Nadeau
We prove a previously conjectured closed form formula for the norm of the Jack polynomials in superspace with respect to a certain scalar product. The proof is mainly combinatorial…
Directed animals in the gas
Yvan Le Borgne, Jean-François Marckert
In this paper, we revisit the enumeration of directed animals using gas models. We show that there exists a natural construction of random directed animals on any directed graph to…