New paper on arXiv: Decomposition of mean-field Gibbs distributions into product measures

I’m happy to say that my advisor Ronen Eldan and I recently uploaded a paper to the arXiv under the title “Decomposition of mean-fields Gibbs distributions into product measures” (https://arxiv.org/abs/1708.05859). This is a sister paper of the previous one about exponential random graphs: this one presents a “general framework” and only briefly touches on how … More New paper on arXiv: Decomposition of mean-field Gibbs distributions into product measures

Random graphs: The Erdős–Rényi G(n,p) model

Some mathematicians like probability, and some mathematicians like graphs, so it’s only natural that some mathematicians like probabilistic graphs. That is, they like to generate graphs at random, and then ask all sorts of questions about them: What are the features of a random graph? Will it be connected? Will it contain many triangles? Will … More Random graphs: The Erdős–Rényi G(n,p) model

New paper on arXiv: Indistinguishable sceneries on the Boolean hypercube

I’m happy to say that fellow student Uri Grupel and I uploaded a paper to the arXiv recently under the title “Indistinguishable sceneries on the Boolean hypercube” (https://arxiv.org/abs/1701.07667). We had great fun working on it, and most of the theorems are actually pretty simple and do not use heavy mathematical machinery, so I’d like to … More New paper on arXiv: Indistinguishable sceneries on the Boolean hypercube