258 citations
- Laboratoire Angevin de Recherche en MathématiquesFR198 papers
- Centre National de la Recherche ScientifiqueFR127 papers
- Institut des Sciences et Technologies Moléculaires d'AngersFR31 papers
- Sorbonne UniversitéFR17 papers
- Wrocław University of Science and TechnologyPL17 papers
- Institut de Mathématiques de ToulouseFR13 papers
- Institute for Theoretical and Experimental PhysicsRU12 papers
- Université Paris-SaclayFR12 papers
- Université Toulouse III - Paul SabatierFR12 papers
- Horia Hulubei National Institute for R and D in Physics and Nuclear EngineeringRO10 papers
- Institut d'électronique de microélectronique et de nanotechnologieFR10 papers
- Université Nantes Angers Le MansFR10 papers
37 papers · 1 filter
Tunneling between magnetic wells in two dimensions
Søren Fournais, Yannick Guedes Bonthonneau, Léo Morin +1
The two-dimensional magnetic Laplacian is considered. We calculate the leading term of the splitting between the first two eigenvalues of the operator in the semiclassical limit un…
Magnetic Dirac systems: Violation of bulk-edge correspondence in the zigzag limit
Loïc Le Treust, Jean-Marie Barbaroux, Horia D. Cornean +2
We consider a Dirac operator with constant magnetic field defined on a half-plane with boundary conditions that interpolate between infinite mass and zigzag. By a detailed study of…
Interface fluctuations associated with split Fermi seas
Harriet Walsh
We consider the asymptotic behaviour of a family of unidimensional lattice fermion models, which are in exact correspondence with certain probability laws on partitions and on unit…
Jánossy densities and Darboux transformations for the Stark and cylindrical KdV equations
Tom Claeys, Gabriel Glesner, Giulio Ruzza +1
We study Jánossy densities of a randomly thinned Airy kernel determinantal point process. We prove that they can be expressed in terms of solutions to the Stark and cylindrical Kor…
Monge-Ampere Geometry and Vortices
Lewis Napper, Ian Roulstone, Vladimir Rubtsov +1
We introduce a new approach to Monge-Ampere geometry based on techniques from higher symplectic geometry. Our work is motivated by the application of Monge-Ampere geometry to the P…
Recursion Relation for Toeplitz Determinants and the Discrete Painlevé II Hierarchy
Thomas Chouteau, Sofia Tarricone
Solutions of the discrete Painlevé II hierarchy are shown to be in relation with a family of Toeplitz determinants describing certain quantities in multicritical random partitions…