We show that finite rank perturbations of certain random matrices fit in the framework of infinitesimal (type B) asymptotic freeness. This can be used to explain the appearance of free harmonic analysis (such as subordination functions appearing in additive free convolution) in computations of outlier eigenvalues in spectra of such matrices
Abstract. A fundamental result of free probability theory due to Voiculescu and subsequently refined...
This thesis is about Random Matrix Theory and Free Probability whose strong relation is known since ...
Abstract. It is known that if one perturbs a large iid random matrix by a bounded rank error, then t...
We show that finite rank perturbations of certain random matrices fit in the framework of infinitesi...
This article gives a short introduction to free probability theory and emphasizes its role as a natu...
The spectral distribution function of random matrices is an information-carrying object widely studi...
We prove that independent families of permutation invariant random matrices are asymptotically free ...
We study the eigenvalues of polynomials of large random matrices which have only discrete spectra. O...
ABSTRACT. We investigate the implications of free probability for finite-dimensional, Hermitian rand...
We prove that independent families of permutation invariant random matrices are asymptotically free ...
The spectral distribution function of random matrices is an information-carrying object widely studi...
The spectral distribution function of random matrices is an information-carrying object widely studi...
The aim of this paper is to show how free probability theory sheds light on spectral properties of d...
This volume opens the world of free probability to a wide variety of readers. From its roots in the ...
Biane-Perelemov-Popov matrices are a family of quantum random matrices which quantize uniformly rand...
Abstract. A fundamental result of free probability theory due to Voiculescu and subsequently refined...
This thesis is about Random Matrix Theory and Free Probability whose strong relation is known since ...
Abstract. It is known that if one perturbs a large iid random matrix by a bounded rank error, then t...
We show that finite rank perturbations of certain random matrices fit in the framework of infinitesi...
This article gives a short introduction to free probability theory and emphasizes its role as a natu...
The spectral distribution function of random matrices is an information-carrying object widely studi...
We prove that independent families of permutation invariant random matrices are asymptotically free ...
We study the eigenvalues of polynomials of large random matrices which have only discrete spectra. O...
ABSTRACT. We investigate the implications of free probability for finite-dimensional, Hermitian rand...
We prove that independent families of permutation invariant random matrices are asymptotically free ...
The spectral distribution function of random matrices is an information-carrying object widely studi...
The spectral distribution function of random matrices is an information-carrying object widely studi...
The aim of this paper is to show how free probability theory sheds light on spectral properties of d...
This volume opens the world of free probability to a wide variety of readers. From its roots in the ...
Biane-Perelemov-Popov matrices are a family of quantum random matrices which quantize uniformly rand...
Abstract. A fundamental result of free probability theory due to Voiculescu and subsequently refined...
This thesis is about Random Matrix Theory and Free Probability whose strong relation is known since ...
Abstract. It is known that if one perturbs a large iid random matrix by a bounded rank error, then t...
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