3 problems

Let $T$ be the Sinai billiard map on $M$, let $h_{\mathrm{top}}(T)$ denote its topological entropy, and let $\mathcal{M}_T^e(M)$ be the set of ergodic $T$-invariant Borel probabili…

Consider planar Sinai billiard flows whose boundary may have corner points, with the angle between the intersecting boundary pieces at each corner nonzero. Corner-point correlation…

Chernov's conjecture. The property that the Sinai billiard map admits an invariant measure of infinite metric entropy holds for more general billiards, in particular for Sinai bill…