Search for dissertations about: "Determinantal processes"
Showing result 1 - 5 of 8 swedish dissertations containing the words Determinantal processes.
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1. Gaussian fluctuations in some determinantal processes
Abstract : This thesis consists of two parts, Papers A and B, in which some stochastic processes, originating from random matrix theory (RMT), are studied. In the first paper we study the fluctuations of the kth largest eigenvalue, xk, of the Gaussian unitary ensemble (GUE). READ MORE
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2. On determinantal point processes and random tilings with doubly periodic weights
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
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3. Fluctuations of smooth linear statistics of determinantal point processes
Abstract : We study eigenvalues of unitary invariant random matrices and other de-terminantal point processes. Paper A investigates some generalizations ofthe Gaussian Unitary Ensemble which are motivated by the physics of freefermions. READ MORE
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4. Interacting Particle Systems: Percolation, Stochastic Domination and Randomly Evolving Environments
Abstract : In this thesis we first analyze the class of one-dependent trigonometric determinantal processes and show that they are all two-block-factors. We do this by constructing the two-block-factors explicitly. Second we investigate the dynamic stability of percolation for the stochastic Ising model and the contact process. READ MORE
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5. Intelligent data acquisition for drug design through combinatorial library design
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