Author

P. Pollett

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Preprint Sep 2026

Mutation--selection balance on an infinite trait space: confinement, drift and equilibrium

We study a trait-structured population model incorporating mutation, selection and density-dependent regulation on a countably infinite trait space. The underlying stochastic process is a continuous-time Markov chain in which individuals reproduce at a trait-independent rate, offspring traits are determined by a mutati...

P. Pollett · 0 citations

Preprint Sep 2026

Polynomial Decay in Absorbing Continuous-Time Markov Chains

Let $P(t)$ be the transition function of an absorbing continuous-time Markov chain on a countable state space. We study asymptotic relations of the form $p_{ij}(t)\sim a_{ij} L(t)$, $t\to\infty$, where $L$ is independent of $i$ and $j$. We obtain general conditions under which the coefficient matrix $A=(a_{ij})$ has ra...

P. Pollett · 0 citations