528 citations · 723 across the 9 of their papers we have counts for
9 papers
Universality for orthogonal and symplectic Laguerre-type ensembles
Percy Deift, Dimitri Gioev, Thomas Kriecherbauer +1
We give a proof of the Universality Conjecture for orthogonal (beta=1) and symplectic (beta=4) random matrix ensembles of Laguerre-type in the bulk of the spectrum as well as at th…
On the proof of universality for orthogonal and symplectic ensembles in random matrix theory
Ovidiu Costin, Percy Deift, Dimitri Gioev
We give a streamlined proof of a quantitative version of a result from [DG1] which is crucial for the proof of universality in the bulk [DG1] and also at the edge [DG2] for orthogo…
Universality at the edge of the spectrum for unitary, orthogonal and symplectic ensembles of random matrices
Percy Deift, Dimitri Gioev
We prove universality at the edge of the spectrum for unitary (beta=2), orthogonal (beta=1) and symplectic (beta=4) ensembles of random matrices in the scaling limit for a class of…
Entanglement entropy of fermions in any dimension and the Widom conjecture
Dimitri Gioev, Israel Klich
We show that entanglement entropy of free fermions scales faster then area law, as opposed to the scaling for the harmonic lattice, for example. We also suggest and provi…
Universality in Random Matrix Theory for orthogonal and symplectic ensembles
Percy Deift, Dimitri Gioev
We give a proof of the Universality Conjecture for orthogonal and symplectic ensembles of random matrices in the scaling limit for a class of weights w(x)=exp(-V(x)) where V is a p…
Lower order terms in Szego type limit theorems on Zoll manifolds
Dimitri Gioev
This is a detailed version of the paper math.FA/0212273. The main motivation for this work was to find an explicit formula for a "Szego-regularized" determinant of a zeroth order p…