Sökning: "Asymptotics of solutions"
Visar resultat 11 - 14 av 14 avhandlingar innehållade orden Asymptotics of solutions.
11. Some new Friedrichs-type inequalities in domains with microinhomogeneous structure
Sammanfattning : This Licentiate thesis is devoted to derive and discuss some new Friedrichs-type inequalities for functions, which belong to the Sobolev space $H^1$ in domains with microinhomogeneous structure and which vanish on a part of the boundary. The classical Friedrics inequality holds for functions from the space $\mathop{H^{\smash 1}}\limits^{\circ}$ with a constant depending only on the measure of the domain. LÄS MER
12. 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
13. Quiescent regimes in cosmology
Sammanfattning : This thesis is about cosmological solutions to Einstein’s equations of general relativity, in particular spacetimes whose mean curvature diverges. Moreover, we consider anisotropic spacetimes with big bang singularities. In this setting the singularity is expected to generically be oscillatory if no matter is present. LÄS MER
14. Generalized linear models with clustered data
Sammanfattning : In situations where a large data set is partitioned into many relatively small groups, and where the members within a group have some common unmeasured characteristics, the number of parameters requiring estimation tends to increase with sample size if a fixed effects model is applied. This fact causes the assumptions underlying asymptotic results to be violated. LÄS MER
