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- Lawrence Berkeley National LaboratoryUS398 papers
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4 papers · 1 filter
Hydrodynamics of polar liquid crystals
William Kung, M. Cristina Marchetti, Karl Saunders
Starting from a microscopic definition of an alignment vector proportional to the polarization, we discuss the hydrodynamics of polar liquid crystals with local -symm…
Perturbed Hankel Determinants
Estelle Basor, Yang Chen
In this short note, we compute, for large n the determinant of a class of n x n Hankel matrices, which arise from a smooth perturbation of the Jacobi weight. For this purpose, we e…
Toral Algebraic Sets and Function Theory on Polydisks
Jim Agler, John McCarthy, Mark Stankus
A toral algebraic set is an algebraic set in $\C^n$ whose intersection with $\T^n$ is sufficiently large to determine the holomorphic functions on . We develop the theory of…
Extremal Non-Compactness of Composition Operators with Linear Fractional Symbol
Estelle L. Basor, Dylan Q. Retsek
We realize norms of most composition operators acting on the Hardy space with linear fractional symbol as roots of hypergeometric functions. This realization leads to simple necess…