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almostsuremath.com | ||
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djalil.chafai.net
The logarithmic potential is a classical object of potential theory intimately connected with the two dimensional Laplacian. It appears also in free probability theory via the free entropy, and in partial differential equations e.g. Patlak-Keller-Segel models. This post concerns only it usage for the spectra of non Hermitian random matrices. Let \( {\mathcal{P}(\mathbb{C})} \) be the set of probability measures... |
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terrytao.wordpress.com
A key theme in real analysis is that of studying general functions $latex {f: X \rightarrow {\bf R}}&fg=000000$ or $latex {f: X \rightarrow {\bf C}}&fg=000000$ by first approximating them b |
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lucatrevisan.wordpress.com
In which we show how to find the eigenvalues and eigenvectors of Cayley graphs of Abelian groups, we find tight examples for various results that we proved in earlier lectures, and, along the way, we develop the general theory of harmonic analysis which includes the Fourier transform of periodic functions of a real variable, the... |
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blog.georgeshakan.com
I recently uploaded "On the largest sum-free subset problem in the integers," to the arXiv. Let $latex A \subset \mathbb{Z}$ be a finite subset of the integers. We say $latex A$ is sum-free if there are no solutions to $latex a + b = c,$ with $latex a,b,c \in A$. We define $latex S(A)$ to... |
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