From the 4 of 8 linked papers with an AI index.
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A functional law of large numbers for a spatial model of Muller's ratchet
João Luiz de Oliveira Madeira, Marcel Ortgiese, Sarah Penington
The paper proves that a spatial version of Muller's ratchet, modeled by interacting random-walking particles with mutation-dependent reproduction rates, converges under scaling to…
The contact process with fitness on random trees
Natalia Cardona-Tobón, Marcel Ortgiese
The paper studies a variant of the contact process on random trees where each vertex has a random fitness affecting transmission rates, and identifies conditions on mixed moments o…
Cluster sizes in subcritical soft Boolean models
Benedikt Jahnel, Lukas Lüchtrath, Marcel Ortgiese
We consider the soft Boolean model, a model that interpolates between the Boolean model and long-range percolation, where vertices are given via a stationary Poisson point process.…
A compact support property for infinite-dimensional SDEs with Hölder continuous coefficients
Thomas Hughes, Marcel Ortgiese
We consider non-negative solutions to some infinite-dimensional SDEs on with Hölder continuous noise coefficients. We prove that if the Hölder exponent is less tha…
The contact process on dynamical random trees with degree dependence
Natalia Cardona-Tobón, Marcel Ortgiese, Marco Seiler +1
The contact process is a simple model for the spread of an infection in a structured population. We investigate the case when the underlying structure evolves dynamically as a degr…
Existence, uniqueness and moment bounds for a spatial model of Muller's ratchet
João Luiz de Oliveira Madeira, Marcel Ortgiese, Sarah Penington
In this article, we consider a generalisation of the spatial Muller's ratchet introduced by Foutel-Rodier and Etheridge. This particle system is a spatial model of an asexual popul…