From the 4 of 8 linked papers with an AI index.
8 papers
Emergence of polymorphism in stochastic evolutionary games
Bill Nunn, Marcel Ortgiese, Tim Rogers
The paper studies how random demographic noise in finite populations can generate and maintain stable mixtures of pure strategies (polymorphism) in the Hawk‑Dove game, showing that…
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…
Balancing innovation and assimilation in research communities
Bill Nunn, Maria Horner, Marcel Ortgiese +1
The paper introduces two interacting particle‑system models that capture how research communities balance creating new ideas with learning existing ones, showing that larger commun…
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…