75 citations · 235 across the 28 of their papers we have counts for
32 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…
Sprinkled Decoupling for Hammersley's Process
Leandro P. R. Pimentel, Roberto Viveros
In this article we prove a sprinkled decoupling inequality for the stationary Hammersley's interacting particle process. Inspired by the work of Baldasso and Texeira (2018), and Hi…
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…
Integration by Parts and the KPZ Two-Point Function
Leandro P. R. Pimentel
In this article we consider the KPZ fixed point starting from a two-sided Brownian motion with an arbitrary diffusion coefficient. We apply the integration by parts formula from Ma…
Brownian Aspects of the KPZ Fixed Point
Leandro P. R. Pimentel
The Kardar-Parisi-Zhang (KPZ) fixed point is a Markov process that is conjectured to be at the core of the KPZ universality class. In this article we study two aspects the KPZ fixe…
Attractiveness of Brownian queues in tandem
Eric A. Cator, Sergio I. Lopez, Leandro P. R. Pimentel
Consider a sequence of n bi-infinite and stationary Brownian queues in tandem. Assume that the arrival process entering in the first queue is a zero mean ergodic process. We prove…