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The iPhone vs Linear Algebra
In this paper, we prove a Cheeger-type inequality on the value of multiple wives…
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Hello, and Welcome to Fun with Expanders
Long in the planning, my online course on graph partitioning algorithms, expanders, and random walks, will start next month. The course page is up for people to sign up. A friend of mine has compared...
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The Cheeger inequality in manifolds
Readers of in theory have heard about Cheeger’s inequality a lot. It is a relation between the edge expansion (or, in graphs that are not regular, the conductance) of a graph and the second smallest...
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Proof of the Cheeger inequality in manifolds
Having (non-rigorously) defined the Laplacian operator in manifolds in the previous post, we turn to the proof of the Cheeger inequality in manifolds, which we restate below. Theorem 1 (Cheeger’s...
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Spielman-Srivastava Sparsification à la Talagrand
This is the second in a series of posts explaining a result on hypergraph sparsification that uses Talagrand’s work on Gaussian processes. In the previous post we talked about Gaussian and...
View ArticleWorkshop in Milan Next Week
As previously announced, next week Alon Rosen and I are organizing a workshop at Bocconi, which will actually be the union of two workshops, one on Recent Advances in Cryptography and one on Spectral...
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