2008/04/24 by Bufetov, Alexander I.
#28D10 #30F60 #37A50 #37B10 #37D25 #37E35 #60F #Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics #Probability (math.PR)
paper · doi:10.48550/arxiv.0804.3970
The aim of this paper is to obtain an asymptotic expansion for ergodic integrals of translation flows on flat surfaces of higher genus (Theorem 1) and to give a limit theorem for these flows (Theorem 2).