278 citations · 1.7k across the 68 of their papers we have counts for
5 papers · 1 filter
Normal matrix models, dbar-problem, and orthogonal polynomials on the complex plane
Alexander R. Its, Leon A. Takhtajan
We introduce a dbar-formulation of the orthogonal polynomials on the complex plane, and hence of the related normal matrix model, which is expected to play the same role as the Rie…
Entanglement entropy in quantum spin chains with finite range interaction
A. R. Its, F. Mezzadri, M. Y. Mo
We study the entropy of entanglement of the ground state in a wide family of one-dimensional quantum spin chains whose interaction is of finite range and translation invariant. Suc…
Renyi Entropy of the XY Spin Chain
F. Franchini, A. R. Its, V. E. Korepin
We consider the one-dimensional XY quantum spin chain in a transverse magnetic field. We are interested in the Renyi entropy of a block of L neighboring spins at zero temperature o…
Hankel determinant and orthogonal polynomials for the Gaussian weight with a jump
A. Its, I. Krasovsky
We obtain asymptotics in n for the n-dimensional Hankel determinant whose symbol is the Gaussian multiplied by a step-like function. We use Riemann-Hilbert analysis of the related…
Critical edge behavior in unitary random matrix ensembles and the thirty fourth Painleve transcendent
A. R. Its, A. B. J. Kuijlaars, J. Ostensson
We describe a new universality class for unitary invariant random matrix ensembles. It arises in the double scaling limit of ensembles of random Hermitian matrices $Z_…