Becoming a member of measures for horocycle flows on abelian covers
Authors: Wenyu Pan
Summary: A celebrated results of Ratner from the eighties says that two horocycle flows on hyperbolic surfaces of finite space are both the identical as much as algebraic change of coordinates, or they don’t have any non-trivial joinings. Not too long ago, Mohammadi and Oh prolonged Ratner’s theorem to horocycle flows on hyperbolic surfaces of infinite space however finite genus. On this paper, we current the primary becoming a member of classification results of a horocycle movement on a hyperbolic floor of infinite genus: a Z or Z2-cover of a basic compact hyperbolic floor. We additionally focus on a number of purposes
