A theory of regularity structures · HackerPapers discussions

A theory of regularity structures — mentioned by naishoya

Fri, 31 Jul 2026 14:04:52 GMT

Man, I had forgotten about this one. Thanks for the highlight, I read Okazaki's the first time about 2014/15 IIRC. Another great read is "A Theory of Regularity Structures" - https://arxiv.org/pdf/1303.5113. by Martin Hairer. It builds on his thesis, Comportement Asymptotique d’ ´Equations `a D´eriv´ees Partielles Stochastiques. - https://www.hairer.org/papers/these.pdf The English language preprint from just prior to the French is at https://arxiv.org/pdf/math/0109115 "Exponential Mixing Properties of Stochastic PDEs Through Asymptotic Coupling" great, but I read them in revers order from…

Paper and discussion history. A mention is not an endorsement.

A theory of regularity structures — mentioned by melling

Fri, 11 Sep 2020 12:05:02 GMT

here’s his paper that won him the prize. It’s long at 180 pages. https://arxiv.org/abs/1303.5113 Wish there was something between a Quanta article and the paper that described his thinking.

Paper and discussion history. A mention is not an endorsement.

A theory of regularity structures — mentioned by chillingeffect

Wed, 13 Aug 2014 14:21:10 GMT

I hadn't heard of these "Stochastic Partial Differential Equations," but here's a "mini-course" on them: http://www.math.rochester.edu/people/faculty/cmlr/Preprints/... And here's his famous paper "A Theory of Regularity Structures": http://arxiv.org/pdf/1303.5113v4.pdf

Paper and discussion history. A mention is not an endorsement.