7 citations · 11 across the 5 of their papers we have counts for
6 papers
Localization of quantum systems at Liouville tori
Ood Shabtai
We consider a collection of pairwise commuting quantum observables in the setting of Berezin--Toeplitz quantization of a closed Kähler manifold and assume that the Arnold--Liouvill…
On the distribution kernels of Toeplitz operators on CR manifolds
Chin-Yu Hsiao, Ood Shabtai
We study the distribution kernel of a Toeplitz operator associated with a classical pseudodifferential operator on a compact, embeddable, strictly pseudoconvex CR manifold. The mai…
Off-diagonal estimates of partial Bergman kernels on -symmetric Kähler manifolds
Ood Shabtai
We establish local asymptotic estimates of partial Bergman kernels on closed, -symmetric Kähler manifolds. The main result concerns the scaling asymptotics of partial Bergman…
On polynomials in spectral projections of spin operators
Ood Shabtai
We show that the operator norm of an arbitrary bivariate polynomial, evaluated on certain spectral projections of spin operators, converges to the maximal value in the semiclassica…
Commutators of spectral projections of spin operators
Ood Shabtai
We present a proof that the operator norm of the commutator of certain spectral projections associated with spin operators converges to in the semiclassical limit. The…
Embeddings of free groups into asymptotic cones of Hamiltonian diffeomorphisms
Daniel Alvarez-Gavela, Victoria Kaminker, Asaf Kislev +7
Given a symplectic surface of genus , we show that the free group with two generators embeds into every asymptotic cone of , w…