14 citations · 36 across the 9 of their papers we have counts for
11 papers
Free denoising via overlap measures and c-freeness techniques
Maxime Fevrier, Alexandru Nica, Kamil Szpojankowski
We study the problem of free denoising. For free selfadjoint random variables , where we interpret as a signal and as noise, we find . To that end, we study…
Fluctuations of the Stieltjes transform of the empirical spectral distribution of selfadjoint polynomials in Wigner and deterministic diagonal matrices
Serban Belinschi, Mireille Capitaine, Sandrine Dallaporta +1
We investigate the fluctuations around the mean of the Stieltjes transform of the empirical spectral distribution of any selfadjoint noncommutative polynomial in a Wigner matrix an…
Using Boolean cumulants to study multiplication and anticommutators of free random variables
Maxime Fevrier, Mitja Mastnak, Alexandru Nica +1
We study how Boolean cumulants can be used in order to address operations with freely independent random variables, particularly in connection to the -distribution of the produc…
Fluctuations Of Linear Spectral Statistics Of Deformed Wigner Matrices
Sandrine Dallaporta, Maxime Fevrier
We investigate the fluctuations of linear spectral statistics of a Wigner matrix deformed by a deterministic diagonal perturbation , around a deterministic equivalent…
A construction which relates c-freeness to infinitesimal freeness
Maxime Fevrier, Mitja Mastnak, Alexandru Nica +1
We consider two extensions of free probability that have been studied in the research literature, and are based on the notions of c-freeness and respectively of infinitesimal freen…
Outliers in the spectrum of large deformed unitarily invariant models
Serban Teodor Belinschi, Hari Bercovici, Mireille Capitaine +1
In this paper we characterize the possible outliers in the spectrum of large deformed unitarily invariant additive and multiplicative models, as well as the eigenvectors correspond…