Search for dissertations about: "Poisson point process"
Showing result 6 - 10 of 20 swedish dissertations containing the words Poisson point process.
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6. On Directed Random Graphs and Greedy Walks on Point Processes
Abstract : This thesis consists of an introduction and five papers, of which two contribute to the theory of directed random graphs and three to the theory of greedy walks on point processes. We consider a directed random graph on a partially ordered vertex set, with an edge between any two comparable vertices present with probability p, independently of all other edges, and each edge is directed from the vertex with smaller label to the vertex with larger label. READ MORE
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7. Limit theorems for generalizations of GUE random matrices
Abstract : This thesis consists of two papers devoted to the asymptotics of random matrix ensembles and measure valued stochastic processes which can be considered as generalizations of the Gaussian unitary ensemble (GUE) of Hermitian matrices H=A+A†, where the entries of A are independent identically distributed (iid) centered complex Gaussian random variables. In the first paper, a system of interacting diffusing particles on the real line is studied; special cases include the eigenvalue dynamics of matrix-valued Ornstein-Uhlenbeck processes (Dyson's Brownian motion). READ MORE
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8. 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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9. On Clustering of Random Points in the Plane and in Space
Abstract : If n points are independently and uniformly distributed in a large rectangular parallelepiped, A in Rd, d =2,3, they may possibly aggregate in such a way that they are contained in some translate of a given convex set C in A. If the points are replaced by copies of C, these translated sets may have a non-empty intersection. READ MORE
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10. Integrated Access and Backhaul for 5G and Beyond (6G)
Abstract : Enabling network densification to support coverage-limited millimeter wave (mmWave) frequencies is one of the main requirements for 5G and beyond. It is challenging to connect a high number of base stations (BSs) to the core network via a transport network. READ MORE