14 citations · 47 across the 15 of their papers we have counts for
15 papers
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 …
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…
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…
A note on the state occupancy distribution for Markov chains
Phil Pollett
In a recent paper, Shah [arXiv:2502.03073] derived an explicit expression for the distribution of occupancy times for a two-state Markov chain, using a method based on enumerating…
Hawkes Models And Their Applications
Patrick J. Laub, Young Lee, Philip K. Pollett +1
The Hawkes process is a model for counting the number of arrivals to a system which exhibits the self-exciting property - that one arrival creates a heightened chance of further ar…
Quasi-stationary distributions for queueing and other models
Phil. Pollett
This note presents conjectures on polynomial/algebraic/sub-exponential convergence of transition probabilities for -null recurrent and -transient Markov chains in continuous…