Maria Clara Fittipaldi

Maria Clara Fittipaldi
Universidad Nacional Autónoma de México | UNAM · Department of Mathematics

Phd

About

4
Publications
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Introduction
Maria Clara Fittipaldi currently works at the Department of Mathematics, Universidad Nacional Autónoma de México. Maria does research in Probability Theory. Their most recent publication is 'Ray-Knight representation of flows of branching processes with competition by pruning of Lévy trees.'

Publications

Publications (4)
Preprint
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Motivated by the stochastic Lotka-Volterra model, we introduce continuous-time discrete-state interacting multitype branching processes (both through intratype and intertype competition or cooperation). We show that these processes can be obtained as the sum of a multidimensional random walk with a Lamperti-type change proportional to the populatio...
Article
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We introduce the notion of flows of branching processes with competition to describe the evolution of a continuous state branching population in which interactions between individuals give rise to a negative density dependence term. A classical example is the logistic branching processes studied by Lambert. Following the approach developed by Dawso...
Preprint
Full-text available
We consider a system of N queues with decentralized load balancing such as power-of-D strategies(where D may depend on N) and generic scheduling disciplines. To measure the dependence of the queues, we use the clan of ancestors, a technique coming from interacting particle systems. Relying in that analysis we prove quantitative estimates on the que...
Article
Full-text available
We study the pathwise description of a (sub-)critical continuous-state branching process (CSBP) conditioned to be never extinct, as the solution to a stochastic differential equation driven by Brownian motion and Poisson point measures. The interest of our approach, which relies on applying Girsanov theorem on the SDE that describes the uncondition...