Bernhard Mehlig - MSc thesis projects (examensarbete)

Available projects (2007)

Clustering by mixing flows
The aim is to understand the origin and describe the nature of the density fluctuations observed in this movie (created using a computer program written by E. Arvedson).

Staggered ladder spectra
IGeneralise the results of E. Arvedson and V. Bezuglyy to two and (physically most interesting) three spatial dimensions. Work out connection to Chandrasekhar damping formula.

Optical and mechanical properties of nanotubes and C60
In collaboration with M. Moseler (Freiburg) we want to investigate how nanotubes respond to intense laser pulses and mechanical strain. The nanotubes are modelled using an empirical tight-binding approach, assuming that the motion of the C atoms can be treated classically.

Statistical analysis of gene-history correlations using the coalescent
This project is to be supervised jointly with S. Sagitov (Mathematical Sciences).The aim is to extend the coalescent algorithm of Durrett & Schweinsberg to describe linkage disequilibrium in contiguous DNA segments close to a selected site. This is important because patterns of linkage disequilibrium (as opposed to single-locus properties) contain most genealogical information.

Mott variable-range hopping and stick-breaking models

Semilinear response theory

Collisions of particles suspended in turbulent flows at high Stokes numbers

Aggregation of dust particles in accretion discs

Mott's optical conductivity formula versus Mott's variable range hopping

Past and present projects (2003 - 2007)

An accurate deterministic model for selective sweeps
Pontus Fernström, 2007

Advective collisions
Björn Andersson, 2007 [pdf]

Generalised Ornstein-Uhlenbeck processes
Vlad Bezuglyy, Feb. 2006 [pdf]

Classical dynamics in strongly fluctuating, spatially and temoporally smooth force fields

Erik Arvedson, Oct. 2005 [pdf]

On the statistics of the channel capacity for wireless networks: a random-matrix approach
Vicente Nava, January 2006 [pdf]

The effect of selective sweeps on linkage disequilibrium in the human genome
Xiaomo Liu, April 2005 [pdf]
jointly supervised with S. Sagitov

Lyapunov exponents for inertial particle in incompressible random flows
Mats Ljunggren, June 2004 [pdf]

Lyapunov exponents for inertial particles in three-dimensional ran- dom potential flows
Tom Weber, June 2004

Approximating selective sweeps using the Lambda-coalescent
Jing Tang, May 2004
jointly supervised with S. Sagitov

Statistics of single-nucleotide poly- morphisms in populations with de- mographic structure
Paulina Larsson, March 2004

Human genetic diversity and the coalescent process
Hui Xie, May 2003

Quantum-mechanical simulations of two-dimensional electronic systems
Diplomarbeit B. Bergues, May 2003
Updated: Feb. 13, 2007 by Bernhard Mehlig

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