Sökning: "Vetenskaplig artikel matematik"

Visar resultat 6 - 10 av 85 avhandlingar innehållade orden Vetenskaplig artikel matematik.

  1. 6. Topics in Combinatorial Algebraic Geometry

    Författare :Anders Lundman; Sandra Di Rocco; Giorgio Ottaviani; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Sammanfattning : This thesis consists of six papers in algebraic geometry –all of which have close connections to combinatorics. In Paper A we consider complete smooth toric embeddings X ↪ P^N such that for a fixed positive integer k the t-th osculating space at every point has maximal dimension if and only if t ≤ k. LÄS MER

  3. 7. Stacky Modifications and Operations in the Étale Cohomology of Number Fields

    Författare :Eric Ahlqvist; David Rydh; Alexander Schmidt; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; stacks; ramified covers; étale cohomology; cup product; Massey product; Galois cohomology; building data; 2-cocycles; Matematik; Mathematics;

    Sammanfattning : This thesis consists of 4 papers. In Paper A we define stacky building data for stacky covers in the spirit of Pardini and give an equivalence of (2,1)- categories between the category of stacky covers and the category of stacky building data. LÄS MER

  4. 8. Building Data for Stacky Covers and the Étale Cohomology Ring of an Arithmetic Curve : Du som saknar dator/datorvana kan kontakta [email protected] för information

    Författare :Eric Ahlqvist; David Professor; Niels Borne; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Étale Cohomology; Number Field; Cup Product; Stacky Covers; Building Data; Ramified Covers; Mathematics; Matematik;

    Sammanfattning : This thesis consists of two papers with somewhat different flavours. In Paper I we compute the étale cohomology ring H^*(X,Z/nZ) for X the ring of integers of a number field K. As an application, we give a non-vanishing formula for an invariant defined by Minhyong Kim. LÄS MER

  5. 9. Enumerative combinatorics related to partition shapes

    Författare :Jonas Sjöstrand; Anders Björner; Christian Krattenthaler; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; partition shape; sign-imbalance; Robinson-Schensted correspondence; chess tableau; restricted word; cylindrical lattice walk; Poincaré polynomial; Bruhat interval; rook polynomial; pattern avoidance; partitionsform; teckenobalans; Robinson-Schensted-korrespondens; schacktablå; begränsade ord; cylindriska latticestigar; poincarépolynom; bruhatintervall; tornpolynom; mönsterundvikande permutation; MATHEMATICS; MATEMATIK;

    Sammanfattning : This thesis deals with enumerative combinatorics applied to three different objects related to partition shapes, namely tableaux, restricted words, and Bruhat intervals. The main scientific contributions are the following. LÄS MER

  7. 10. Limit theorems for generalizations of GUE random matrices

    Författare :Martin Bender; Kurt Johansson; Arno Kuijlaars; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Random matrices; Central limit theorem; Dyson s Brownian motion; Interacting diffusion; Point process; Non-Hermitian; Scaling limit; MATHEMATICS; MATEMATIK;

    Sammanfattning : This thesis consists of two papers devoted to the asymptotics of random matrix ensembles and measure valued stochastic processes which can be considered as generalizations of the Gaussian unitary ensemble (GUE) of Hermitian matrices H=A+A†, where the entries of A are independent identically distributed (iid) centered complex Gaussian random variables. In the first paper, a system of interacting diffusing particles on the real line is studied; special cases include the eigenvalue dynamics of matrix-valued Ornstein-Uhlenbeck processes (Dyson's Brownian motion). LÄS MER