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For questions in Mathematics Education as a scientific discipline. For more hands-on questions on teaching Mathematics, please use the tag teaching. There is also a Stack Exchange community http://matheducators.stackexchange.com/

6 votes
Accepted

How quickly will billiard trajectories cluster?

I'll offer a few partial answers, which may eventually lead to a complete answer. As observed in Saussol's paper (Theorem 3, Kac's lemma), if you have an ergodic invariant measure $\mu$ then the mean …
Martin Sleziak's user avatar
85 votes

Is the boundary $\partial S$ analogous to a derivative?

A partial answer to Q1 -- apologies if this is obvious, but I don't see it written here yet, and this is the thing that made me sit up and take notice of the fact that there's some sort of connection …
Vaughn Climenhaga's user avatar