528 citations · 546 across the 5 of their papers we have counts for
5 papers
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…
Lower Order Terms in Szego Theorems on Zoll Manifolds
Dimitri Gioev
The main motivation for this work was to find an explicit formula for a "Szego-regularized" determinant of a zeroth order pseudodifferential operator (PsDO) on a Zoll manifold. The…
Szego limit theorem for operators with discontinuous symbols and applications to entanglement entropy
Dimitri Gioev
The main result in this paper is a one term Szego type asymptotic formula with a sharp remainder estimate for a class of integral operators of the pseudodifferential type with symb…