most recent 30 from http://mathoverflow.net 2013-05-24T08:03:34Z http://mathoverflow.net/feeds/user/4992 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/19619/why-do-dynamicists-worry-so-much-about-differentiability-hypotheses-in-smooth-dyn/19722#19722 Anti 2010-03-29T12:22:50Z 2010-03-29T12:22:50Z

<p>I have also asked myself somewhat of the same question as I sat for a couple of days through a smooth dynamics conference. I am by no means an expert (in fact more like clueless!), but I would suggest reading some of the intros from Giovanni Forni's papers. For example, the cohomological equation for nilflows (with Livio Flaminio) and the sobolev reguarlity ones. (both are on the arxiv) They at least mention some of the general philosophies and hopes of answering such regularity questions. </p>