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21 votes
7 answers
2k views

Identities and inequalities in analysis and probability

Usually, at the heart of a good limit theorem in probability theory is at least one good inequality – because, in applications, a topological neighborhood is usually defined by inequalities. Of course,...
11 votes
1 answer
676 views

Entropy arguments used by Jean Bourgain

My question comes from understanding a probabilistic inequality in Bourgain's paper on Erdős simiarilty problem: Construction of sets of positive measure not containing an affine image of a given ...
Tutukeainie's user avatar
1 vote
0 answers
133 views

Does the Gaussian Poincare inequality hold for infinite dimensional measure metric spaces?

This is a question subsequent to the one: Does the Gaussian Poincare inequality hold for $p=1$ as well as $p=2$? There, I received a very helpful answer that the Gaussian poincare inequality for any ...
Isaac's user avatar
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