27 citations · 82 across the 25 of their papers we have counts for
31 papers
Emergence of polymorphism in stochastic evolutionary games
Bill Nunn, Marcel Ortgiese, Tim Rogers
Deterministic evolutionary game theory makes no distinction between a monomorphic population of individuals all of whom share a mixed evolutionarily stable strategy and a polymorph…
Balancing innovation and assimilation in research communities
Bill Nunn, Maria Horner, Marcel Ortgiese +1
It has been statistically observed that the speed at which a corpus of knowledge advances does not scale linearly with quantities like the number of active researchers or number of…
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…
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 than…
A functional law of large numbers for a spatial model of Muller's ratchet
João Luiz de Oliveira Madeira, Marcel Ortgiese, Sarah Penington
The spatial Muller's ratchet is a model introduced by Foutel-Rodier and Etheridge to study the impact of cooperation and competition on the fitness of an expanding asexual populati…
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…