How we measure 'reads'
A 'read' is counted each time someone views a publication summary (such as the title, abstract, and list of authors), clicks on a figure, or views or downloads the full-text. Learn more
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.'
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...
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...
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...
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...