Sökning: "rhombus tilings"

Hittade 2 avhandlingar innehållade orden rhombus tilings.

  1. 1. Interlaced particles in tilings and random matrices

    Författare :Eric Nordenstam; Kurt Johansson; Pierre van Moerbeke; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Interlaced particles; GUE; Anti-symmetric GUE; domino tilings; lozenge tilings; Algebra; geometry and mathematical analysis; Algebra; geometri och analys;

    Sammanfattning : This thesis consists of three articles all relatedin some way to eigenvalues of random matrices and theirprincipal minors and also to tilings of various planar regions with dominoes or rhombuses.Consider an $N\times N$ matrix $H_N=[h_{ij}]_{i,j=1}^N$ from the Gaussian unitary ensemble (GUE). LÄS MER

  3. 2. Combinatorial Considerations on Two Models from Statistical Mechanics

    Författare :Johan Thapper; Svante Linusson; Peter Jonsson; Jakob Jonsson; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; fully packed loop model; rhombus tilings; hard particle model; independence complex; discrete morse theory; Discrete mathematics; Diskret matematik;

    Sammanfattning : Interactions between combinatorics and statistical mechanics have provided many fruitful insights in both fields. A compelling example is Kuperberg’s solution to the alternating sign matrix conjecture, and its following generalisations. LÄS MER