Limit theorems for suspension flows over Vershik automorphisms

作者：Bufetov A I^*

来源：Russian Mathematical Surveys, 2013, 68(5): 789-860.

DOI：10.1070/RM2013v068n05ABEH004858

• Vershik automorphisms
• renormalization
• rate of convergence in the ergodic theorem
• limit theorems
• finitely additive invariant measures
• Teichmuller flow
• Forni invariant distributions
• Kontsevich-Zorich cocycle

In this paper an asymptotic expansion of ergodic integrals for suspension flows over Vershik automorphisms is obtained and a limit theorem for these flows is given. %26lt;br%26gt;Bibliography: 49 titles.

• 出版日期2013