Search for dissertations about: "determinantal point process"

Showing result 1 - 5 of 6 swedish dissertations containing the words determinantal point process.

  2. 1. On determinantal point processes and random tilings with doubly periodic weights

    Author : Tomas Berggren; Maurice Duits; Neil O'Connell; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Determinantal point processes; Periodically weighted random tilings; Central Limit Theorems; Riemann-Hilbert problems; Mathematics; Matematik;

    Abstract : This thesis is dedicated to asymptotic analysis of determinantal point processes originating from random matrix theory and random tiling models. Our main interest lies in random tilings of planar domains with doubly periodic weights. READ MORE

  4. 2. Polyanalytic Bergman Kernels

    Author : Antti Haimi; Håkan Hedenmalm; Joaquim Ortega Cerdà; KTH; []
    Keywords : Polyanalytic function; determinantal point process; Bergman kernel;

    Abstract : The thesis consists of three articles concerning reproducing kernels ofweighted spaces of polyanalytic functions on the complex plane. In the first paper, we study spaces of polyanalytic polynomials equipped with a Gaussianweight. In the remaining two papers, more general weight functions are considered. READ MORE

  5. 3. Intelligent data acquisition for drug design through combinatorial library design

    Author : Simon Johansson; Chalmers tekniska högskola; []
    Keywords : HUMANIORA; HUMANITIES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; determinantal point processes; generative models; machine learning; drug discovery; active learning; Cheminformatics;

    Abstract : A problem that occurs in machine learning methods for drug discovery is a need for standardized data. Methods and interest exist for producing new data but due to material and budget constraints it is desirable that each iteration of producing data is as efficient as possible. READ MORE

  6. 4. Free convolutions and the Pearcey process in random matrix theory

    Author : Philippe Moreillon; Kevin Schnelli; Benoit Collins; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics;

    Abstract : The dissertation is in Random Matrix Theory, a field at the interface of probability theory, mathematical physics and operator algebras. First, we examine elementary questions that arise in Voiculescu’s Free Probability Theory of non-commutative random variables. READ MORE

  7. 5. Roughening in dimer models : Random matrix statistics and surface fluctuations

    Author : Scott Mason; Kurt Johansson; Alexey Bufetov; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics;

    Abstract : The field of mathematical statistical mechanics sits at the intersection of probability theory and mathematical physics. It consists of the rigorous analysis of models in statistical mechanics, such as dimer and lattice models - of which the Ising model is a classical example. READ MORE