Blogs about: Eigenvalues
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Random matrices: universality of local eigenvalue statistics
Van Vu and I have just uploaded to the arXiv our paper “Random matrices: universality of local eigenvalue statistics“, submitted to Acta Math.. This paper concerns the eigenvalues of a Wi… more →
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Lie's Theorem II
wrote 5 months ago: Yesterday I was talking about Lie’s theorem for solvable Lie algebras. I went through most of … more →
Random matrices: universality of local eigenvalue statistics
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wrote 7 months ago: Van Vu and I have just uploaded to the arXiv our paper “Random matrices: universality of local … more →
Eigenfactor
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wrote 1 year ago: A short, and late post this week, general chaos in my life is to blame. Unfortunately the busy sort … more →
Addendum to Monday Math 49
wrote 1 year ago: Addendum: In today’s Monday Math post, I stated that one could see from the Hessian matrix tha … more →
When are eigenvalues stable?
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wrote 1 year ago: I was asked recently (in relation to my recent work with Van Vu on the spectral theory of random mat … more →
Lecture 5: Uniformizing graphs, multi-flows, and eigenvalues
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wrote 1 year ago: In the previous lecture, we gave an upper bound on the second eigenvalue of the Laplacian of (bounde … more →
Physics Friday 28
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wrote 1 year ago: In the previous two posts (here and here), we looked at a collection of masses (2 and 3,respectively … more →
Huisken and Sinestrari 1999, pt. 3
wrote 1 year ago: Mea culpa again. Huisken and Sinestrari don’t claim that we have a nice evolution equation for … more →
Eigenvalue multiplicity and growth of groups
wrote 1 year ago: This post is less about mathematics in TCS as it is about mathematics around TCS–specifically … more →
thinking about (symmetric) matrices and tensors
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wrote 1 year ago: In my last meeting with Dr. Wolfson, I came across yet another advantage of eigenvalues. In what fol … more →
Huisken and Sinestrari 1999 (pt 2)
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wrote 1 year ago: I still haven’t figured out just how to prove that the eigenvalues of the second fundamental f … more →
Huisken and Sinestrari 1999
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wrote 1 year ago: Huisken’s earlier papers showed that a convex hypersurface will shrink to an asymptotically ro … more →
The Cheeger-Alon-Milman inequality
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wrote 1 year ago: Recently, Luca posted on Cheeger’s inequality. Whenever I try to reconstruct the proof, I star … more →
Eigenvalues, Eigenvectors And Eigenspaces
wrote 1 year ago: Here is the power point presentation that I whipped up for my class presentation. It went well, even … more →
Hard Long Eigenvalued Days
wrote 1 year ago: I’ve had a few hard long days this week. It kind of annoys me when after Tuesday, I already fe … more →
Milliman Lecture II: Additive combinatorics and random matrices
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wrote 2 years ago: This is my second Milliman lecture, in which I talk about recent applications of ideas from additive … more →
Random matrices: the circular law
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wrote 2 years ago: Van Vu and I have recently uploaded our joint paper, “Random matrices: the circular law“ … more →
Open question: What is a quantum honeycomb?
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wrote 2 years ago: This problem lies in the highly interconnected interface between algebraic combinatorics (esp. the c … more →
