4.9k citations
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR3.4k papers
- Centre National de la Recherche ScientifiqueFR2.7k papers
- CEA Paris-SaclayFR2.2k papers
- Université Paris-SaclayFR1.2k papers
- CEA Paris-Saclay - Etablissement de SaclayFR362 papers
- Sorbonne UniversitéFR310 papers
- École Normale Supérieure - PSLFR277 papers
- European Organization for Nuclear ResearchCH208 papers
- Université Paris Sciences et LettresFR191 papers
- Institut d'Astrophysique de ParisFR181 papers
- Université Paris CitéFR175 papers
- Université Paris-SudFR172 papers
14 papers · 2 filters
Conformal boundary loop models
Jesper Lykke Jacobsen, Hubert Saleur
We study a model of densely packed self-avoiding loops on the annulus, related to the Temperley Lieb algebra with an extra idempotent boundary generator. Four different weights are…
Open boundary Quantum Knizhnik-Zamolodchikov equation and the weighted enumeration of Plane Partitions with symmetries
P. Di Francesco
We propose new conjectures relating sum rules for the polynomial solution of the qKZ equation with open (reflecting) boundaries as a function of the quantum parameter and the $…
Correlation Functions of Harish-Chandra Integrals over the Orthogonal and the Symplectic Groups
A. Prats Ferrer, B. Eynard, P. Di Francesco +1
The Harish-Chandra correlation functions, i.e. integrals over compact groups of invariant monomials prod tr{X^{p_1} Omega Y^{q_1} Omega^dagger X^{p_2} ... with the weight exp tr{X…
Eigenvalue amplitudes of the Potts model on a torus
Jean-Francois Richard, Jesper Lykke Jacobsen
We consider the Q-state Potts model in the random-cluster formulation, defined on finite two-dimensional lattices of size L x N with toroidal boundary conditions. Due to the non-lo…
Block orthogonal polynomials: II. Hermite and Laguerre standard block orthogonal polynomials
Jean-Marie Normand
The standard block orthogonal (SBO) polynomials are real polynomials of degree which are orthogonal with respect to a first Euclidean scalar product t…
Block orthogonal polynomials: I. Definition and properties
Jean-Marie Normand
Constrained orthogonal polynomials have been recently introduced in the study of the Hohenberg-Kohn functional to provide basis functions satisfying particle number conservation fo…