𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Random Regularization of Brown Spectral Measure

✍ Scribed by Piotr Śniady

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
213 KB
Volume
193
Category
Article
ISSN
0022-1236

No coin nor oath required. For personal study only.

✦ Synopsis

We generalize a recent result of Haagerup; namely, we show that a convolution with a standard Gaussian random matrix regularizes the behavior of Fuglede-Kadison determinant and Brown spectral distribution measure. In this way, it is possible to establish a connection between the limit eigenvalues distributions of a wide class of random matrices and the Brown measure of the corresponding limits.

📜 SIMILAR VOLUMES

Comparison measurements on regular spect
Comparison measurements on regular spectral transmittance
✍ Farshid Manoochehri; Erkki Ikonen; Leif Liedquist 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 528 KB

## Comparison Measurements on Regular Spectral Transmittance A comparison ojthe scales of regular spectral transmittance of the Helsinki University of Technology (HUT) and the Swedish National Testing and Research Institute (SP) was made using a set of 3 absorption neutral-density glassjlters and

Brown's Spectral Distribution Measure fo
Brown's Spectral Distribution Measure for R-Diagonal Elements in Finite von Neumann Algebras
✍ Uffe Haagerup; Flemming Larsen 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 287 KB

In 1983 L. G. Brown introduced a spectral distribution measure for non-normal elements in a finite von Neumann algebra M with respect to a fixed normal faithful tracial state {. In this paper we compute Brown's spectral distribution measure in case T has a polar decomposition T=UH where U is a Haar

1-Factorizations of random regular graph
1-Factorizations of random regular graphs
✍ M. S. O. Molloy; H. Robalewska; R. W. Robinson; N. C. Wormald 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 204 KB 👁 2 views

It is shown that for each r G 3, a random r-regular graph on 2 n vertices is equivalent in a certain sense to a set of r randomly chosen disjoint perfect matchings of the 2 n vertices, as n ª ϱ. This equivalence of two sequences of probabilistic spaces, called contiguity, occurs when all events almo

Regularity of Distance Measures and Sets
Regularity of Distance Measures and Sets
✍ Pertti Mattila; Per Sjölin 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 236 KB

## Abstract Let μ be a Radon measure with compact support in IR^n^ such that equation image We show that the imw of μ x μ under the distance map (x, y) → |x‐ y| is an absolutely continuous measure with density of class C^a^‐(n+1)/2. As a corollary we get that If AC IR^n^ is a Suslin set with Haus