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math.PR2026
Polynomial Decay in Absorbing Continuous-Time Markov Chains
Phil Pollett
Let be the transition function of an absorbing continuous-time Markov chain on a countable state space. We study asymptotic relations of the form …
q-bio.PE2026
Mutation--selection balance on an infinite trait space: confinement, drift and equilibrium
Phil. Pollett
We study a trait-structured population model incorporating mutation, selection and density-dependent regulation on a countably infinite trait space. The underlying stochastic proce…
q-bio.PE2026
Persistence, Thresholds, and Trait Composition in a Regulated Mutation-Selection Model
Phil. Pollett
We study a population model in which individuals carry one of two traits and evolve under mutation, selection, and density-dependent regulation. A deterministic large-population li…