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
8 papers · 2 filters
Statistical Mechanics of Confined Polymer Networks
Bertrand Duplantier, Anthony J Guttmann
We show how the theory of the critical behaviour of -dimensional polymer networks of arbitrary topology can be generalized to the case of networks confined by hyperplanes. This…
On Products of Delta Distributions and Resultants
Michel Bauer, Jean-Bernard Zuber
We prove an identity in integral geometry, showing that if and are two polynomials, is proportional to where is the r…
Analytic continuation of Bethe energies and application to the thermodynamic limit of the non-compact spin chains
Etienne Granet, Jesper Lykke Jacobsen, Hubert Saleur
We consider the problem of analytically continuing energies computed with the Bethe ansatz, as posed by the study of non-compact integrable spin chains. By introducing an imaginary…
Generalized hydrodynamics in box-ball system
Atsuo Kuniba, Grégoire Misguich, Vincent Pasquier
Box-ball system (BBS) is a prominent example of integrable cellular automata in one dimension connected to quantum groups, Bethe ansatz, ultradiscretization, tropical geometry and…
Spin-Ruijsenaars, q-deformed Haldane-Shastry and Macdonald polynomials
Jules Lamers, Vincent Pasquier, Didina Serban
We study the -analogue of the Haldane-Shastry model, a partially isotropic (XXZ-like) long-range spin chain that enjoys quantum-affine (really: quantum-loop) symmetries at finit…
Integrable boundary conditions in the antiferromagnetic Potts model
Niall F. Robertson, Michal Pawelkiewicz, Jesper Lykke Jacobsen +1
We present an exact mapping between the staggered six-vertex model and an integrable model constructed from the twisted affine Lie algebra. Using the known relations betwee…