3 citations · 3 across the 6 of their papers we have counts for
6 papers
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…
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…
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…
On the two-point function of the one-dimensional KPZ equation
Sergio I. López, Leandro P. R. Pimentel
In this short communication we show that basic tools from Malliavin calculus can be applied to derive the two-point function of the slope of the one-dimensional KPZ equation, start…
Bus operators in competition: a directed location approach
Fernanda Herrera, Sergio I. López
We present a directed variant of Salop (1979) model to analyze bus transport dynamics. The players are operators competing in cooperative and non-cooperative games. Utility, like i…
On the location of the maximum of a process: Lévy, Gaussian and multidimensional cases
Sergio I. López, Leandro P. R. Pimentel
In this short article we show how the techniques presented in arXiv:1207.4469 can be extended to a variety of non continuous and multivariate processes. As examples, we prove uniqu…