3 papers
math.AP2025★ 1 cited
Replicator dynamics as the large population limit of a discrete Moran process in the weak selection regime: A proof via Eulerian specification
Marco Morandotti, Gianluca Orlando
We study the large population limit of a multi-strategy discrete-time Moran process in the weak selection regime. We show that the replicator dynamics is interpreted as the large-p…
math.AP2024
Stacking faults in the limit of a discrete model for partial edge dislocations
Annika Bach, Marco Cicalese, Adriana Garroni +1
In the limit of vanishing lattice spacing we provide a rigorous variational coarse-graining result for a next-to-nearest neighbor lattice model of a simple crystal. We show that th…
math.AP2023
Exponential convergence to steady-states for trajectories of a damped dynamical system modelling adhesive strings
Giuseppe Maria Coclite, Nicola De Nitti, Francesco Maddalena +2
We study the global well-posedness and asymptotic behavior for a semilinear damped wave equation with Neumann boundary conditions, modelling a one-dimensional linearly elastic body…