On Lipschitz Dependence in Systems with Differentiated Inputs (2009)
Consider the system t k t x(t)=a+ S f(x(s))ds+ ~, S yi(x(s))dz~(s) (0<t<l), (1) 0 /=1 0
vom Fachbereich Mathematik der (2008)
Steffen Grossmann, Dekan Prof, Dr. J. Baumeister, Gutachter Prof, Dr. A. Wakolbinger, ...
This thesis has been motivated by the problem of assessing the statistical significance of the outcomes from sequence alignment algorithms. Finding similarities between sequences with entries from a...
René Dahms, Vorsitzender Prof, Dr. D. Krüger, Prof Dr, M. Scheutzow, Prof Dr, ...
Long–time behavior of a spherical mean field model vorgelegt von Diplom–Mathematiker
The Longtime Behavior of Branching Random Walk in a Catalytic Medium (2007)
Greven Klenke, A. Greven, A. Klenke, A. Wakolbinger
Consider a countable collection (¸ t ) of particles located on a countable group, performing a critical branching random walk where the branching rate of a particle is given by a random medium...
How often does the ratchet click? Facts, heuristics, asymptotics (2007)
Etheridge, A., Pfaffelhuber, P., Wakolbinger, A.
The evolutionary force of recombination is lacking in asexually reproducing populations. As a consequence, the population can suffer an irreversible accumulation of deleterious mutations, a...
Ergodic behavior of locally regulated branching populations (2007)
Hutzenthaler, M., Wakolbinger, A.
For a class of processes modeling the evolution of a spatially structured population with migration and a logistic local regulation of the reproduction dynamics, we show convergence to an upper...
The process of most recent common ancestors in an evolving coalescent (2005)
Pfaffelhuber, P., Wakolbinger, A.
Consider a haploid population which has evolved through an exchangeable reproduction dynamics, and in which all individuals alive at time $t$ have a most recent common ancestor (MRCA) who lived at...
Ergodic behavior of locally regulated branching populations (2005)
Hutzenthaler, M., Wakolbinger, A.
For a class of processes modeling the evolution of a spatially structured population with migration and a logistic local regulation of the reproduction dynamics, we show convergence to an upper...
Degrees of transience and recurrence and hierarchical random walks (2004)
Dawson, D. A., Gorostiza, L. G., Wakolbinger, A.
The notion of degree and related notions concerning recurrence and transience for a class of L'evy processes on metric Abelian groups are studied. The case of random walks on a hierarchical group is...
Hierarchical equilibria of branching populations (2003)
Dawson, D. A., Gorostiza, L. G., Wakolbinger, A.
The objective of this paper is the study of the equilibrium behavior of a population on the hierarchical group $\Omega_N$ consisting of families of individuals undergoing critical branching random...
Assessing variability by joint sampling of alignments and mutation rates. (2001)
Metzler, D., Fleissner, Roland, Wakolbinger, A., Haeseler, Arndt Von
Occupation Time Fluctuations in Branching Systems (2000)
Dawson, Don, Gorostiza, L. G., Wakolbinger, A.
We consider particle systems in locally compact Abelian groups with particles moving according to a process with symmetric stationary independent increments and undergoing one and two levels of...
The Longtime Behavior Of Branching Random Walk In A Catalytic Medium (1999)
A. Greven, A. Klenke, A. Wakolbinger
We consider catalytic branching random walk (the reactant) where the state space is a countable Abelean group. The branching is critical binary and the local branching rate is given by a catalytic...
The Longtime Behavior Of Branching Random Walk In A Catalytic Medium (1999)
A. Greven, A. Klenke, A. Wakolbinger
We consider catalytic branching random walk (the reactant) where the state space is a countable Abelean group. The branching is critical binary and the local branching rate is given by a catalytic...
Approximate Genealogies Under Genetic Hitchhiking
Pfaffelhuber, P., Haubold, B., Wakolbinger, A.
The rapid fixation of an advantageous allele leads to a reduction in linked neutral variation around the target of selection. The genealogy at a neutral locus in such a selective sweep can be...
Hierarchical equilibria of branching populations
D.A. Dawson, L.G. Gorostiza, A. Wakolbinger
The objective of this paper is the study of the equilibrium behavior of a population on the hierarchical group (Omega)N consisting of families of individuals undergoing critical branching random walk...