58 citations · 146 across the 28 of their papers we have counts for
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math.PR2016★ 2 cited
Constant Step Stochastic Approximations Involving Differential Inclusions: Stability, Long-Run Convergence and Applications
Pascal Bianchi, Walid Hachem, Adil Salim
We consider a Markov chain whose kernel is indexed by a scaling parameter , refered to as the step size. The aim is to analyze the behavior of the Markov chain in the…
math.PR2009★ 6 cited
Performance of Statistical Tests for Single Source Detection using Random Matrix Theory
Pascal Bianchi, Merouane Debbah, Mylène Maïda +1
This paper introduces a unified framework for the detection of a source with a sensor array in the context where the noise variance and the channel between the source and the senso…
math.PR2008★ 2 cited
Asymptotic Independence in the Spectrum of the Gaussian Unitary Ensemble
P. Bianchi, M. Debbah, J. Najim
Consider a matrix from the Gaussian Unitary Ensemble (GUE). Given a finite collection of bounded disjoint real Borel sets , properly rescale…