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pseudocydonia
  • Member for 8 years, 1 month
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accepted
Reference request: acceleration/curvature of curve in metric space
awarded
 Custodian
reviewed
Approve
Reference request: acceleration/curvature of curve in metric space
awarded
 Yearling
asked
Reference request: acceleration/curvature of curve in metric space
awarded
 Revival
answered
Uniformization/measurable selection theorems
asked
Reference request: "doubly empirical" measure associated to a random measure
answered
Are the sublevel sets of Boltzmann entropy compact in Wasserstein distance?
awarded
 Necromancer
awarded
 Popular Question
comment
Rate of convergence in the Law of Large Numbers
I realize this question is a number of years old, now, but do either of you know if it is possible to get a uniform constant for the little-o?
answered
Properties of the topology of sequential convergence $\tau_\text{seq}$
comment
Wasserstein compactness of sublevel sets of relative entropy
I think it is fine to assume that $\pi$ itself has finite second moment, but $\lambda$-log-concavity would be overly restrictive.
comment
Wasserstein compactness of sublevel sets of relative entropy
Agreed. Do you have a proof that this is a non-issue, or know of a counter-example?
comment
Wasserstein compactness of sublevel sets of relative entropy
Sorry, fixed typo regarding $\pi$. As for your second comment, I agree this is surely relevant, but do you have an idea of how to use this to resolve the issue?
revised
Wasserstein compactness of sublevel sets of relative entropy
added 14 characters in body
asked
Wasserstein compactness of sublevel sets of relative entropy
comment
Concentration inequalities for random measures
I believe that my answer here might answer your question: mathoverflow.net/a/407994
comment
Wasserstein-type concentration inequalities for empirical measures on polish spaces
Sure. Here is another result in this direction: arxiv.org/abs/1804.10556
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