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I am interested in using Shannon’s entropy in combinatorics. It is often presented with a motivation of how much information can be passed, but assume I am not interested in that, I want to understand why it is useful as a tool to bound objects (with examples now). Several examples that demonstrate that very nontrivialRead more

I’ve been reading some papers about parabolic evolution problems between manifolds. We want to study the behaviour of maps from the domain $ (0,T)\times \Omega$ , where $ \Omega\subset \Bbb R^m$ , to some compact manifold $ N$ . In some of the papers, I’ve encounter the parabolic metric on $ (0,T)\times \Omega$ $ $Read more