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5 papers · 2 filters
Dynamics of Mandelbrot Cascades
Julien Barral, Jacques Peyriere, Zhi-Ying Wen
Mandelbrot multiplicative cascades provide a construction of a dynamical system on a set of probability measures defined by inequalities on moments. To be more specific, beyond the…
Limit laws for k-coverage of paths by a Markov-Poisson-Boolean model
Srikanth K. Iyer, D. Manjunath, D. Yogeshwaran
Let P := {X_i,i >= 1} be a stationary Poisson point process in R^d, {C_i,i >= 1} be a sequence of i.i.d. random sets in R^d, and {Y_i^t; t \geq 0, i >= 1} be i.i.d. {0,1}-valued co…
Large deviations of Poisson cluster processes
Charles Bordenave, Giovanni Luca Torrisi
In this paper we prove scalar and sample path large deviation principles for a large class of Poisson cluster processes. As a consequence, we provide a large deviation principle fo…
Integration by parts formula for locally smooth laws and applications to sensitivity computations
Vlad Bally, Marie-Pierre Bavouzet, Marouen Messaoud
We consider random variables of the form , where is a smooth function and , are random variables with absolutely continuous law $p_i(y) dy…
Tail Asymptotics for Discrete Event Systems
Marc Lelarge
In the context of communication networks, the framework of stochastic event graphs allows a modeling of control mechanisms induced by the communication protocol and an analysis of…