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Cooperation and Competition in Wireless Networks
The first chapter provides a long CV of the author (May 2010). The second chapter describes selected contributions to networks of wireless terminals equipped with... -
Séminaire de Probabilités XLV
International audience -
Spectra of large diluted but bushy random graphs
24 pages, 5 figures. -
Random symmetric matrices on Clifford algebras
We consider Brownian motions and other processes (Ornstein-Uhlenbeck processes, spherical Brownian motions) on various sets of symmetric matrices constructed from... -
Estimation and fluctuations of functionals of large random matrices
The principal objective of this thesis is : the study of the fluctuations of functionals of spectrum for large random matrices, the construction of consistent... -
Central limit theorems for linear statistics of heavy tailed random matrices
49 pages. In this fifth version, we have corrected a mistake in the fixed point equations for the limit covariance. To appear in Comm. Math. Phys. -
Largest eigenvalues and eigenvectors of band or sparse matrices
11 pages. In this third version, we have changed the title by adding the mention to sparse matrices, to emphasize the fact that our result does not rely on the way the non zero... -
Operator-valued spectral measures and large deviations
International audience -
Additive/multiplicative free subordination property and limiting eigenvectors...
International audience -
Circular law for random matrices with exchangeable entries
An exchangeable random matrix is a random matrix with distribution invariant under any permutation of the entries. For such random matrices, we show, as the dimension... -
Spectrum of Markov generators on sparse random graphs
Correction in Proposition 4.3. Final version. -
Restricted invertibilité, distance to the cube and the covariance of random m...
In this thesis, we address three themes : columns subset selection in a matrix, the Banach-Mazur distance to the cube and the estimation of the covariance of random... -
Central limit theorem for eigenvectors of heavy tailed matrices
31 pages. In this version, we added some details to several proofs.
