602 citations
- Centre National de la Recherche ScientifiqueFR4 papers
- European Organization for Nuclear ResearchCH4 papers
- University of ViennaAT4 papers
- University of WarsawPL4 papers
- Los Alamos National LaboratoryUS3 papers
- Observatoire de ParisFR3 papers
- University of LiègeBE3 papers
- Astronomical Observatory of CapodimonteIT2 papers
- Département de mathématiques et applicationsFR2 papers
- École Normale Supérieure - PSLFR2 papers
- Gemini North ObservatoryUS2 papers
- Institut d'Astrophysique SpatialeFR2 papers
6 papers · 1 filter
Universality in the two matrix model: a Riemann-Hilbert steepest descent analysis
Maurice Duits, Arno B. J. Kuijlaars
The eigenvalue statistics of a pair of Hermitian matrices taken random with respect to the measure $$\frac{1}{Z_n}\exp\big(-n\Tr (V(M_1)+W(M_2)-τM_1M_2)\big…
On Separation of Minimal Riesz Energy Points on Spheres in Euclidean Spaces
A. B. J. Kuijlaars, E. B. Saff, X. Sun
For the unit sphere S^d in Euclidean space R^(d+1), we show that for d-1<s<d and any N>1, discrete N-point minimal Riesz s-energy configurations are well separated in the sense tha…
Central limit theorems for the large-spin asymptotics of quantum spins
Tom Michoel, Bruno Nachtergaele
We use a generalized form of Dyson's spin wave formalism to prove several central limit theorems for the large-spin asymptotics of quantum spins in a coherent state.
Universal behavior for averages of characteristic polynomials at the origin of the spectrum
M. Vanlessen
It has been shown by Strahov and Fyodorov that averages of products and ratios of characteristic polynomials corresponding to Hermitian matrices of a unitary ensemble, involve kern…
Bose-Einstein Condensation for Homogeneous Interacting Systems with a One-Particle Spectral Gap
J. Lauwers, A. Verbeure, V. A. Zagrebnov
We prove rigorously the occurrence of zero-mode Bose-Einstein condensation for a class of continuous homogeneous systems of boson particles with superstable interactions. This is t…
Coherent transport and dynamical entropy for Fermionic systems
R. Alicki, M. Fannes, B. Haegeman +1
This paper consists in two parts. First we set up a general scheme of local traps in an homogeneous deterministic quantum system. The current of particles caught by the trap is lin…