| About 97,700 results Y. He, A. **Knowles**, and R. Rosenthal Preprint arXiv:1611.05364, 40 pages, to
appear in Prob. Theor. Rel. Fields. Gibbs measures of nonlinear Schrödinger
equations as limits of many-body quantum states in dimensions d ≤ 3. J. Fröhlich
, A. **Knowles**, B. Schlein, and V. Sohinger Comm. Math. Phys. 356 (2017), 883-
980. https://people.math.ethz.ch/~a**knowles**/ I have moved to the University of Geneva.scholar.google.com/citations?user=GJrHP0wAAAAJ&hl=en Local semicircle law for random regular graphs. R Bauerschmidt, A **Knowles**, HT
Yau. Communications on Pure and Applied Mathematics 70 (10), 1898-1960,
2017. 32, 2017. On the principal components of sample covariance matrices. A
Bloemendal, A **Knowles**, HT Yau, J Yin. Probability theory and related fields 164 (
1-2) ...https://toc.seas.harvard.edu/links/faculty-member/**antti**-**knowles** The axioms of Kolmogorov, convergence and limit theorems, random walks,
martingales and Markov processes in discrete time, concentration of measure
and large deviations. ... Read more about MATH 270. Advanced Probability
Theory (Fall 2011) ...https://www.imperial.ac.uk/quantitative-finance/events/.../**knowles**/ ABSTRACT: These lectures will survey the theoretical foundations of large
sample covariance matrices. The goal is a comprehensive picture of the
eigenvalues and eigenvectors (for instance the principal components) of sample
covariance matrices describing highly correlated populations. After reviewing the
basics, ...https://www.ias.edu/scholars/**antti**-**knowles** **Antti Knowles**. Affiliation. Mathematics. Field of Study. Probability. **Antti Knowles**
is interested in the eigenvalue and eigenvector distributions of various random
matrix models, including Wigner matrices, covariance matrices, band matrices,
and adjacency matrices of random graphs. Dates at IAS. Member. Mathematics.https://arxiv.org/abs/1102.0057 Authors: **Antti Knowles**, Jun Yin. (Submitted on 1 Feb 2011 (v1), last revised 15
Nov 2011 (this version, v4)). Abstract: We consider Hermitian or symmetric
random matrices with independent entries. The distribution of the -th matrix
element is given by a probability measure whose first two moments coincide with
those of the ...https://arxiv.org/abs/1601.04055 Title: Lectures on the local semicircle law for Wigner matrices. Authors: Florent
Benaych-Georges, **Antti Knowles**. (Submitted on 15 Jan 2016 (v1), last revised
18 Oct 2016 (this version, v3)). Abstract: These notes provide an introduction to
the local semicircle law from random matrix theory, as well as some of its
applications.www.nccr-swissmap.ch/.../**antti**-**knowles**-receives-erc-starting-grant **Antti Knowles** receives an ERC Starting Grant. Thursday, 15 September, 2016.
KnowlesERC. **Antti Knowles** has received an ERC Starting Grant titiled "Spectral
Statistics of Structured Random Matrices". The goal of this project is to study the
eigenvalue distribution of random matrix models arising from two areas: spectral
...
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