49 citations · 157 across the 34 of their papers we have counts for
4 papers · 2 filters
Realistic extensions of a Brownian ratchet for protein translocation
A. Depperschmidt, N. Ketterer, P. Pfaffelhuber
We study a model for the translocation of proteins across membranes through a nanopore using a ratcheting mechanism. When the protein enters the nanopore it diffuses in and out of…
Compact metric measure spaces and Lambda-coalescents coming down from infinity
Holger F. Biehler, Peter Pfaffelhuber
We study topological properties of random metric spaces which arise by Lambda-coalescents. These are stochastic processes, which start with an infinite number of lines and evolve t…
Marked metric measure spaces
Andrej Depperschmidt, Andreas Greven, Peter Pfaffelhuber
A marked metric measure space (mmm-space) is a triple (X,r,mu), where (X,r) is a complete and separable metric space and mu is a probability measure on XxI for some Polish space I…
Tree-valued Fleming-Viot dynamics with mutation and selection
Andrej Depperschmidt, Andreas Greven, Peter Pfaffelhuber
The Fleming-Viot measure-valued diffusion is a Markov process describing the evolution of (allelic) types under mutation, selection and random reproduction. We enrich this process…