Publications by Pierre Bremaud

Discrete Probability Models and Methods. Probability on Graphs and Trees, Markov Chains and Random Fields, Entropy and Coding

The emphasis in this book is placed on general models (Markov chains, random fields, random graphs), universal methods (the probabilistic method, the coupling method, the Stein-Chen method, martingale methods, the method of types) and versatile tools (Cher ...

Springer Nature2017

Power spectra of random spike fields and related processes

Andrea Ridolfi, Pierre Bremaud

This article reviews known results and contains new ones concerning the power spectra of large classes of signals and random fields driven by an underlying point process, such as spatial shot noises (with random impulse response and arbitrary basic station ...

2005

Power Spectra of UWB Time-hopping Modulated Signals: a Shot Noise Approach

Andrea Ridolfi, Pierre Bremaud

This paper presents a general method for obtaining the exact power spectra of generic time hopping modulated signals. Based on a point process approach, it provides simpler proofs for existing results and a powerful rigorous and at the same time systematic ...

2004

Power Spectra of Spatial Hawkes Processes

Andrea Ridolfi, Pierre Bremaud

In this paper we derive the formula giving the spectrum of a spatial general linear birth and death process ...

2004