2 papers
math.PR2026
Delayed logistic equation as a limit of long memory Markov chains
Eldon Barros, Dirk Erhard, Tertuliano Franco +1
We introduce and analyze a long-memory continuous-time Markov chain on whose jump mechanism depends explicitly on a state in the past. From the present state …
math.PR2025
Scaling limit of boundary random walks: A martingale problem approach
Juan Carlos Arroyave, Eldon Barros, Eduardo Pimenta
We establish the scaling limit of a class of boundary random walks to the full spectrum of Brownian-type processes on the half-line. By solving the associated martingale problem an…