M
Malik Younsi
Researcher at University of Hawaii at Manoa
Publications - 35
Citations - 155
Malik Younsi is an academic researcher from University of Hawaii at Manoa. The author has contributed to research in topics: Analytic capacity & Conformal map. The author has an hindex of 6, co-authored 32 publications receiving 121 citations. Previous affiliations of Malik Younsi include University of Washington & Stony Brook University.
Papers
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On removable sets for holomorphic functions
TL;DR: In this article, a comprehensive survey on removability of compact plane sets with respect to various classes of holomorphic functions is presented, and several applications and several open questions are discussed.
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Shapes, fingerprints and rational lemniscates
TL;DR: In this paper, the authors give a new, simple proof of a theorem of Ebenfelt, Khavinson and Shapiro stating that the fingerprint of a polynomial lemniscate of degree n is given by the n-th root of a Blaschke product of degrees n and that conversely, any smooth diffeomorphism induced by such a map is the fingerprint for any lemmiscite of the same degree.
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Removability, rigidity of circle domains and Koebe's conjecture
TL;DR: In this article, it was shown that the rigidity conjectures of He and Schramm are equivalent, at least for a large family of circle domains, and the trans-quasiconformal deformation of Schottky groups was introduced to prove that a circle domain is conformally rigid.
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Rigidity theorems for circle domains
TL;DR: In this article, it was shown that circle domains satisfying a certain quasihyperbolic condition, which was considered by Jones and Smirnov (Ark Mat 38, 263-279, 2000), are conformally rigid.
Posted Content
Computation of Analytic Capacity and applications to the Subadditivity Problem
Malik Younsi,Thomas Ransford +1 more
TL;DR: In this article, a least square method for computing the analytic capacity of compact plane sets with piecewise-analytic boundary is presented. But the method is restricted to the case where the plane sets have a piecewise analytic boundary, and it is not shown that analytic capacity is subadditive.