39 citations · 101 across the 14 of their papers we have counts for
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Lieb-Thirring Inequalities for Complex Finite Gap Jacobi Matrices
Jacob S. Christiansen, Maxim Zinchenko
We establish Lieb-Thirring power bounds on discrete eigenvalues of Jacobi operators for Schatten class complex perturbations of periodic and more generally finite gap Jacobi matric…
Lieb-Thirring Inequalities for Finite and Infinite Gap Jacobi Matrices
Jacob S. Christiansen, Maxim Zinchenko
We establish Lieb-Thirring power bounds on discrete eigenvalues of Jacobi operators for Schatten class perturbations under very general assumptions. Our results apply, in particula…
Julia sets of Orthogonal polynomials
Jacob Stordahl Christiansen, Christian Henriksen, Henrik Laurberg Pedersen +1
For a probability measure with compact and non-polar support in the complex plane we relate dynamical properties of the associated sequence of orthogonal polynomials to p…
Dynamics in the Szegö class and polynomial asymptotics
Jacob S. Christiansen
We introduce the Szegö class, Sz(E), for an arbitrary Parreau-Widom set E in R and study the dynamics of its elements under the left shift. When the direct Cauchy theorem holds on…