For real-trait birth-death processes, the paper proves moment recurrences, extinction-probability asymptotics, and convergence to a Yaglom limit and Q-process when the population is conditioned to survive.
Fourier Analysis, Self-Adjointness, Methods of modern mathematical physics, vol
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Long time behavior and Yaglom limit for real trait-structured Birth and Death Processes
For real-trait birth-death processes, the paper proves moment recurrences, extinction-probability asymptotics, and convergence to a Yaglom limit and Q-process when the population is conditioned to survive.