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Article
Open AccessLimits of noise for autoregulated gene expression
Gene expression is influenced by extrinsic noise (involving a fluctuating environment of cellular processes) and intrinsic noise (referring to fluctuations within a cell under constant environment). We study t...
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Article
Tree-valued resampling dynamics Martingale problems and applications
The measure-valued Fleming–Viot process is a diffusion which models the evolution of allele frequencies in a multi-type population. In the neutral setting the Kingman coalescent is known to generate the geneal...
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Article
Convergence in distribution of random metric measure spaces (Λ-coalescent measure trees)
We consider the space of complete and separable metric spaces which are equipped with a probability measure. A notion of convergence is given based on the philosophy that a sequence of metric measure spaces co...
