4 problems

All-point equidistribution conjecture. The effective equidistribution result may hold for all points on any nilmanifolds.

Let $H_3(\mathbb R)$ be the three-dimensional Heisenberg group, let $\Gamma< H_3(\mathbb R)$ be a cocompact lattice, and let … Let $\phi_{\mathbb R}$ be a uniquely ergodic, or Diop…

A nilflow is a flow generated by a one-parameter subgroup on a nilmanifold; a flow is geometrically rigid when continuous conjugacies within the relevant smooth class are smooth. C…

Let a Heisenberg nilflow have an elliptic toral factor, and suppose that this factor is a Diophantine linear flow, meaning that its frequency vector satisfies a Diophantine non-res…