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Now showing items 1-10 of 202

#### Supersymmetry and geometry of hyperbolic monopoles

(The University of Edinburgh, 2015-07-01)

This thesis studies the geometry of hyperbolic monopoles using supersymmetry in
four and six dimensions. On the one hand, we show that starting with a four dimensional
supersymmetric Yang-Mills theory provides the necessary ...

#### Topics in affine and discrete harmonic analysis

(The University of Edinburgh, 2015-07-01)

In this thesis a number of problems in harmonic analysis of a geometric flavour are discussed
and, in particular, the Lebesgue space mapping properties of certain averaging and Fourier
restriction operators are studied. ...

#### Numerical simulation of shock propagation in one and two dimensional domains

(The University of Edinburgh, 2015-11-26)

The objective of this dissertation is to develop robust and accurate numerical methods
for solving the compressible, non-linear Euler equations of gas dynamics in one and
two space dimensions. In theory, solutions of the ...

#### Operator theory on Cp spaces

(The University of Edinburgh, 2004)

#### Rate of convergence of Wong-Zakai approximations for SDEs and SPDEs

(The University of Edinburgh, 2006-06-20)

In the work we estimate the rate of convergence of the Wong-Zakai type of approximations for SDEs and SPDEs. Two cases are studied: SDEs in finite dimensional settings and evolution stochastic systems (SDEs in the infinite ...

#### Wave-mean flow interactions: from nanometre to megametre scales

(The University of Edinburgh, 2015-07-01)

Waves, which arise when restoring forces act on small perturbations, are ubiquitous in fluids. Their counterpart, mean flows, capture the remainder of the motion and are often
characterised by a slower evolution and larger ...

#### Probabilistic matching systems: stability, fluid and diffusion approximations and optimal control

(The University of Edinburgh, 2015-11-26)

In this work we introduce a novel queueing model with two classes of users in which,
instead of accessing a resource, users wait in the system to match with a candidate
from the other class. The users are selective and ...

#### Graph-based approach for the approximate solution of the chemical master equation

(The University of Edinburgh, 2015-07-01)

The chemical master equation (CME) represents the accepted stochastic description
of chemical reaction kinetics in mesoscopic systems. As its exact solution –
which gives the corresponding probability density function – ...

#### Parallel problem generation for structured problems in mathematical programming

(The University of Edinburgh, 2015-11-26)

The aim of this research is to investigate parallel problem generation for structured
optimization problems. The result of this research has produced a novel
parallel model generator tool, namely the Parallel Structured ...

#### Double L-theory

(The University of Edinburgh, 2015-07-01)

This thesis is an investigation of the difference between metabolic and hyperbolic objects in a
variety of settings and how they interact with cobordism and 'double cobordism', both in the
setting of algebraic L-theory ...