Search for dissertations about: "random-cluster model"

Found 3 swedish dissertations containing the words random-cluster model.

  2. 1. Case studies in omniparametric simulation

    Author : Fredrik Lundin; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; growth model; Ising model; Markov chain; omnithermal simulation; omniparametric simulationpercolatiion; Potts model; parameter estimation; partial observations; random cluster model; Richardson model; simulation driven parameter estimation; two-type Richardson model; omnithermal simulation;

    Abstract : In the eld of particle systems and growths models simulation is an important tool. When explicit calculations are too complex or impossible to perform we may use simulations instead. We adapt a new technique here denoted omniparametric simulation, to the two-type Richardson, Ising and Potts models. READ MORE

  4. 2. Graphical representations of Ising and Potts models : Stochastic geometry of the quantum Ising model and the space-time Potts model

    Author : Jakob Erik Björnberg; Anders Björner; Jeffrey Steif; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Quantum Ising model; Ising model; Potts model; random-cluster model; random-current representation; random-parity representation; differential inequality; phase transition; Discrete mathematics; Diskret matematik;

    Abstract : HTML clipboard Statistical physics seeks to explain macroscopic properties of matter in terms of microscopic interactions. Of particular interest is the phenomenon of phase transition: the sudden changes in macroscopic properties as external conditions are varied. READ MORE

  5. 3. Gibbs Measures and Phase Transitions in Potts and Beach Models

    Author : Per Hallberg; KTH; []
    Keywords : Potts model; beach model; percolation; random-cluster model; Gibbs measure; coupling; Markov chains on infinite trees; critical exponent;

    Abstract : The theory of Gibbs measures belongs to the borderlandbetween statistical mechanics and probability theory. In thiscontext, the physical phenomenon of phase transitioncorresponds to the mathematical concept of non-uniqueness for acertain type of probability measures.The most studied model in statistical mechanics is thecelebrated Ising model. READ MORE