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Showing 1 to 16 of 16 for “"Symmetric Function"”.

  1. Symmetric function generalizations of graph polynomials

    Chow, Timothy Yi-ChungMassachusetts Institute of Technology1995

    Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1995.

    mit Repository record

  2. The Chromatic MacMahon Function

    Trist, May BeeUniversity of Kansas2025

    … the weighted analogue of Stanley’s chromatic symmetric function, and prove that the weighted analogue of Crew’s conjecture is not true. Secondly, we generalize the chromatic symmetric function to the chromatic MacMahon function, and use that to prove the MacMahon analogue of Crew’s conjecture.

    ku Repository record

  3. The Complete and Elementary Symmetric Functions as Quotients of Determinants

    Kuykendall, KellyWake Forest University2015

    The standard definition of a Schur symmetric function, is as a quotient of a determinant

    wfu Repository record

  4. Point processes of representation theoretic origin

    Cuenca, Cesar(Cesar A.)Massachusetts Institute of Technology2019

    … In the first part we compute the correlation functions of the 4-parameter family of BC type Z-measures. The result is given explicitly in terms of Gauss's hypergeometric function. The BC type Z-measures are point processes on the punctured positive real line. They arise as interpolations of …

    mit Repository record

  5. The involution principle and h-positive symmetric functions

    Joseph, Benjamin S., 1976-Massachusetts Institute of Technology2001

    … linear group of V is a sum of tensor products of symmetric powers of V. Expanding the iterated exponential function as a power series yields coefficients whose positivity implies the h-positivity of the characteristic of the symmetric group character whose value on the permutation w is the number …

    mit Repository record

  6. Polarization Operators in Superspace

    Chan, Kelvin Tian Yi2024

    … rings with rich connections to combinatorics, symmetric function theory and geometry. Studies of a generalization of the classical coinvariant rings known as the diagonal harmonics have fruitfully produced many interesting discoveries in combinatorics including the q, t-Catalan numbers and the …

    york Repository record

  7. Statistically robust Pseudo Linear Identification

    Alnor, HaraldVirginia Tech1989

    … the measurements through a nonlinear odd symmetric function, called the mb function, and let the covariance updating depend on how far away the measurement is from the prediction. In the original PLID the measurements are used unfiltered in the covariance calculation.

    vt Repository record

  8. Diagrams of affine permutations and their labellings

    Yun, TaedongMassachusetts Institute of Technology2013

    … balanced labellings is the affine Stanley symmetric function which plays an important role in the geometry of the affine Grassmannian. Furthermore, we define set-valued balanced labellings in which the labels are sets of positive integers, and we investigate the relations between set-valued …

    mit Repository record

  9. A Certain Class of Algebraic Hypersurfaces in Projective Space S.Invariant Under the Symmetric Substitution Group G(r+2)!

    Shreve, Darrell RheaUniversity of Illinois at Urbana-Champaign1938

    uiuc Repository record

  10. Deformations of characters, metaplectic Whittaker functions, and the Yang-Baxter equation

    Tabony, Sawyer JamesMassachusetts Institute of Technology2011

    … theoretic quantities as generating functions on certain symmetry classes of ASMs or generalizations of them. Brubaker, Bump, and Priedberg used a Yang-Baxter equation to reprove Tokuyama's result and this work seeks to do the same for a generalization of Okada's results in type B. We …

    mit Repository record

  11. Some aspects of the numerical solution of equilibrium problems in finite elasticity

    Duffett, Gino AlanDepartment of Civil Engineering1985

    … hyperelastic materials. The strain-energy function used to characterise these materials is based on a symmetric function of the principal stretches. All of the above ideas are investigated numerically for the problem of a pressurised rubber cylinder subjected to axial extension. This …

    cape-town Repository record

  12. Studies on quasisymmetric functions

    Grinberg, DarijMassachusetts Institute of Technology2016

    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 …

    mit Repository record

  13. Topology and combinatorics of low genus mapping spaces to projective space

    Song, DekunUniversity of Cambridge2026

    … mixed Hodge structures, tropical moduli spaces, symmetric functions, and the Grothendieck ring of varieties. The results of the thesis extend the structures and results on the moduli spaces of low genus stable curves and genus zero stable maps to projective space, overcoming the subtlety caused …

    cambridge Repository record

  14. PERFECT FLUIDS AND SIGMA MODELS: A MATHEMATICAL INVESTIGATION BETWEEN GENERAL RELATIVITY AND COTTON GRAVITY

    MASTROPIETRO, FILIPPOUniversità degli Studi di Milano2026

    … φ between Riemannian manifolds and several other functions and constants; they are called Cotton φ-Perfect Fluids (C-φ-PF) and φ-static perfect fluids space-times (φ-SPFST). The latter are special solutions of the Einstein field equations on a static space-time with matter sources modelled by a …

    milano Repository record

  15. Asymptotics, exact results, and analogies in p-adic random matrix theory

    Van Peski, RogerMassachusetts Institute of Technology2023

    … matrices and type A Heckman-Opdam hypergeometric functions. (2) We prove that the boundary of the Hall-Littlewood t-deformation of the Gelfand-Tsetlin graph is parametrized by infinite integer signatures, extending results of Gorin and Cuenca on boundaries of related deformed Gelfand-Tsetlin …

    mit Repository record

  16. Some Results in Combinatorics and Combinatorial Geometry

    Randelovic, ZarkoUniversity of Cambridge2024

    … pairs of vertices x and y, where f is a fixed symmetric function satisfying a `monotonicity' condition? Wang showed that the so-called `greedy' tree maximises this quantity, while an `alternating greedy' tree minimises it. We solve the inverse problem and characterize precisely which trees are …

    cambridge Repository record