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math.PR2025
Abrupt decorrelation for linear stochastic differential equations
Sergio I. López, Juan C. Pardo, Leandro P. R. Pimentel
Understanding how a system loses memory of its initial state is a central problem in probability and statistics. In this manuscript, we introduce the notion of abrupt decorrelation…
math.PR2024
A degree-biased cutting process for random recursive trees
Laura Eslava, Sergio I. López, Marco L. Ortiz
We investigate a degree-biased cutting process on random recursive trees, where each vertex is deleted with probability proportional to its degree. We establish the splitting prope…
math.PR2022
Targeted cutting of random recursive trees
Laura Eslava, Sergio I. López, Marco L. Ortiz
We propose a method for cutting down a random recursive tree that focuses on its higher degree vertices. Enumerate the vertices of a random recursive tree of size according to…