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Showing 1 to 10 of 10 for “"quasisymmetric"”.
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Studies on quasisymmetric functions
In 1983, Ira Gessel introduced the ring of quasisymmetric functions (QSym), an extension of the ring of symmetric functions and nowadays one of the standard examples of a combinatorial Hopf algebra. In this thesis, I elucidate three aspects of its theory: 1) Gessel's P-partition enumerators are …
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Quasisymmetric spheres constructed over quasidisks
Item withdrawn by Laura Spradlin (lspradl2@illinois.edu) on 2014-06-11T18:07:56Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 1 Vellis_Vyron.pdf: 911309 bytes, checksum: 08b08655a64e97d1376665cd1feda894 (MD5)
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Comparing products of Schur functions and quasisymmetric functions
In this thesis a conjecture of Okounkov, a conjecture of Fomin-Fulton-Li-Poon, and a special case of Lascoux-Leclerc-Thibon's conjecture on Schur positivity of certain differences of products of Schur functions are proved. In the first part of the work a combinatorial method is developed that …
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The Beurling-Ahlfors extension and Conformal welding
… theory of conformal welding and shows that every quasisymmetric function is a welding homeomorphism. Conformal weldings appear naturally in Teichmüller theory when we consider the conditions under which two Riemann surfaces can be joined together. In the second chapter we investigate the …
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Electric fields and transport in optimized stellarators
… orbits as well as one additional feature. Quasisymmetric plasmas have minimal flow damping, which may lead to reduced turbulent transport. Quasi-isodynamic plasmas can have vanishing bootstrap current, implying less variation in the magnetic configuration as the pressure changes and also …
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Polynomials in algebraic combinatorics
… study bases of the rings of symmetric functions, quasisymmetric functions, and polynomials. Classically, these bases are homogeneous functions, however, the introduction of K-theoretic combinatorics has led to increased interest in finding inhomogeneous deformations of classical bases. Joint with …
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Quasiconformal Groups
… perfect. We consider quasiconformal mappings, quasisymmetric mappings, and weakly quasiconformal mappings in metric spaces. We show that in Loewner spaces the fourth definition of quasiconformal mappings, i.e., the ring definition, is equivalent to the three principal definitions. We consider …
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Random conformally covariant metrics in the plane
… that their embeddings into the plane cannot be quasisymmetric. We also consider chemical distance metrics associated to *conformal loop ensembles*, the loop version of SLE, using the imaginary geometry coupling to the GFF to bound the exponent governing the conformal symmetries of such a metric.
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Edge labellings of partially ordered sets
… conjecture of R. Stanley states that the quasisymmetric generating function for P-partitions is symmetric if and only if P is isomorphic to a Schur labelled skew shape poset.
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Zinc Oxide Nanorod Based Ultraviolet Detectors with Wheatstone Bridge Design
… room temperature response.The responsivity of quasisymmetric Wheatstone bridge configuration with good temperature stability was 1.16 A/W, while those of conventional MSM UV detectors were approximately 60 A/W. However, the quasi-symmetric Wheatstone bridge with responsivity 1.16 A/W was higher …