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Consensus in the two-state Axelrod model
Interacting particle systems Axelrod model annihilating random walks
2011/9/19
Abstract: The Axelrod model is a spatial stochastic model for the dynamics of cultures which, similarly to the voter model, includes social influence, but differs from the latter by also accounting fo...
Path properties and regularity of affine processes on general state spaces
affine processes path properties regularity Markov semimartingales
2011/8/30
Abstract: We provide a new proof for regularity of affine processes on general state spaces by methods from the theory of Markovian semimartingales. On the way to this result we also show that the def...
An algebraic analysis of the two state Markov model on tripod trees
Phylogenetics Identi ability Invariant Two-State-Model
2011/3/1
Methods of phylogenetic inference use more and more complex models to generate trees from data. However, even simple models and their implications are not fully understood.Here, we investigate the two...
Efficient Generation of Random Bits from Finite State Markov Chains
Efficient Generation of Random Bits Finite State Markov Chains
2011/2/25
The problem of random number generation from an uncorrelated random source (of unknown probability distribution)dates back to von Neumann’s 1951 work.
A Lamperti type representation of Continuous-State Branching Processes with Immigration
Levy processes Continuous branching processes with immigration time-change
2011/1/20
Guided by the relationship between the breadth- rst walk of a rooted tree and its sequence of generation sizes, we extend the Lamperti representation of continuous-state branching processes to allow i...
Asymptotic Synchronization for Finite-State Sources
Asymptotic Synchronization Finite-State Sources
2010/11/10
We extend a recent analysis of synchronization for exact finite-state sources to nonexact sources for which synchronization occurs only asymptotically. Although the asymptotic case requires more sophi...
Metastability of reversible finite state Markov processes
Metastability Finite state Markov processes Reversibility
2010/12/9
We prove the metastable behavior of reversible Markov processes on finite state spaces under minimal conditions on the jump rates. To illustrate the result we deduce the metastable behavior of the Isi...
On the Imbedding Problem for Three-state Time Homogeneous Markov Chains with Coinciding Negative Eigenvalues
imbedding problem three-state time homogeneousMarkov chains
2010/12/3
For an indecomposable 3×3 stochastic matrix (i.e., 1-step transition probability matrix) with coinciding negative eigenvalues, a new necessary and sufficient condition of the imbedding problem for tim...