3 papers
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…
math.PR2025
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…
stat.ME2024
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…