Search for dissertations about: "Diskret matematik"

Showing result 11 - 15 of 70 swedish dissertations containing the words Diskret matematik.

  2. 11. 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

  4. 12. Limit shapes of standard Young tableaux and sorting networks via the Edelman-Greene correspondence

    Author : Samu Potka; Svante Linusson; Niklas Eriksen; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Abstract : This thesis consists of the following two articles.New properties of the Edelman–Greene bijection. Edelman and Greene constructed a correspondence between reduced words of the reverse permutation and standard Young tableaux. READ MORE

  5. 13. Causal Combinatorics : Edges of the Characteristic Imset Polytopes

    Author : Petter Restadh; Svante Linusson; Liam Solus; James Cussens; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics;

    Abstract : Explaining data in a concise and efficient manner has become increasingly important in today's society. This thesis pertains to the problem of finding causal links within data, and how that can be done from a mathematical perspective. Using the framework of graphical models has several advantages, from interpretability to efficiency. READ MORE

  6. 14. Digital lines, Sturmian words, and continued fractions

    Author : Hanna Uscka-Wehlou; Christer Oscar Kiselman; Maciej Klimek; Gunilla Borgefors; Mikael Passare; Damien Jamet; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; digital geometry; digital line; hierarchy of runs; combinatorics on words; Sturmian word; upper mechanical word; characteristic word; irrational slope; continued fraction; Gauss map; fixed point; Discrete mathematics; Diskret matematik; matematik; Mathematics;

    Abstract : In this thesis we present and solve selected problems arising from digital geometry and combinatorics on words. We consider digital straight lines and, equivalently, upper mechanical words with positive irrational slopes a... READ MORE

  7. 15. Automorphic string amplitudes

    Author : Henrik Gustafsson; Chalmers tekniska högskola; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Eisenstein series; string theory; automorphic forms; U-duality; non-perturbative effects; Whittaker vectors; instantons;

    Abstract : This thesis explores the non-perturbative properties of higher derivative interactions appearing in the low-energy expansion of four-graviton scattering amplitudes in toroidal compactifications of type IIB string theory. We summarise the arguments for finding such higher derivative corrections in terms of automorphic forms using U-duality, supersymmetry and string perturbation theory. READ MORE