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Visar resultat 36 - 40 av 3423 avhandlingar innehållade ordet Mathematics.
36. Asymptotics of random matrices and matrix valued processes
Sammanfattning : This thesis contains three parts. In the first two papers we consider spectral properties of symmetric matrices with elements consisting of independent Ornstein Uhlenbeck processes. The eigenvalues behave as a particle system on the real line with singular interaction consisting of electrostatic repulsion and a linear restoring force. LÄS MER
37. Regularity and boundary behavior of solutions to complex Monge–Ampère equations
Sammanfattning : In the theory of holomorphic functions of one complex variable it is often useful to study subharmonic functions. The subharmonic can be described using the Laplace operator. When one studies holomorphic functions of several complex variables one should study the plurisubharmonic functions instead. LÄS MER
38. Geometric Discretization in Shape analysis
Sammanfattning : Discretizations in shape analysis is the main theme of this licentiate thesis, which comprises two papers. The first paper considers the problem of finding a parameterized time-dependent vector field that warps an initial set of points to a target set of points. LÄS MER
39. Gaussian structures and orthogonal polynomials
Sammanfattning : This thesis consists of four papers on the following topics in analysis and probability: analysis on Wiener space, asymptotic properties of orthogonal polynomials, and convergence rates in the central limit theorem. The first paper gives lower bounds on the constants in the Meyer inequality from the Malliavin calculus. LÄS MER
40. Semi Markov chain Monte Carlo
Sammanfattning : The first paper introduces a new simulation technique, called semi Markov chain Monte Carlo, suitable for estimating the expectation of a fixed function over a distribution π, Eπf(χ). Given a Markov chain with stationary distribution p, for example a Markov chain corresponding to a Markov chain Monte Carlo algorithm, an embedded Markov renewal process is used to divide the trajectory into different parts. LÄS MER