Effective equidistribution for generalized higher-step nilflows
Effective equidistribution for generalized higher-step nilflows
Abstract In this paper we prove bounds for ergodic averages for nilflows on general higher-step nilmanifolds. Under Diophantine condition on the frequency of a toral projection of the flow, we prove that almost all orbits become equidistributed at polynomial speed. We analyze the rate of decay which is determined by …