Sökning: "vetenskapliga artikel handlar om matematik"

Hittade 3 avhandlingar innehållade orden vetenskapliga artikel handlar om matematik.

  1. 1. 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

  3. 2. 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

  4. 3. Inference and management of populations in variable environments

    Författare :Niclas Jonzén; Evolutionär ekologi; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; habitat selection; environmental variability; Population dynamics; harvesting; time series analysis; model selection; Ecology; Ekologi;

    Sammanfattning : Population dynamics in space and time are manifested as changes in the distribution and abundance of organisms. To couple such patterns to the underlying processes is a central question in ecology and also key to successful management. LÄS MER