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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…
math.PR2024
A Functional Central Limit Theorem for the General Brownian Motion on the Half-Line
Dirk Erhard, Tertuliano Franco, Milton Jara +1
In this work, we establish a Trotter-Kato type theorem. More precisely, we characterize the convergence in distribution of Feller processes by examining the convergence of their ge…