Sökning: "Determinantal processes"

Visar resultat 1 - 5 av 8 avhandlingar innehållade orden Determinantal processes.

1. 1. Gaussian fluctuations in some determinantal processes

   Författare :Jonas Hägg; Kurt Johansson; Alexander Soshnikov; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Random matrices; limit theorems; MATHEMATICS; MATEMATIK;

   Sammanfattning : 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). LÄS MER

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

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

   Sammanfattning : 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. LÄS MER

4. 3. Fluctuations of smooth linear statistics of determinantal point processes

   Författare :Lambert Gaultier; Kurt Johansson; Igor Krasovsky; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

   Sammanfattning : 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. LÄS MER

5. 4. Interacting Particle Systems: Percolation, Stochastic Domination and Randomly Evolving Environments

   Författare :Erik Broman; Göteborgs universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Determinantal processes; k-dependence; k-block-factors; percolation; stochastic Ising models; contact process; $ epsilon-$movability; hidden Markov chain; stochastic domination; k-block-factors;

   Sammanfattning : 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. LÄS MER

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

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

   Sammanfattning : 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. LÄS MER