Sökning: "determinantal point process"
Visar resultat 1 - 5 av 6 avhandlingar innehållade orden determinantal point process.
1. On determinantal point processes and random tilings with doubly periodic weights
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
2. Polyanalytic Bergman Kernels
Sammanfattning : 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. LÄS MER
3. Intelligent data acquisition for drug design through combinatorial library design
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
4. Free convolutions and the Pearcey process in random matrix theory
Sammanfattning : 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. LÄS MER
5. Roughening in dimer models : Random matrix statistics and surface fluctuations
Sammanfattning : 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. LÄS MER
