Geodesic
Limit theorems for suspension flows over Vershik automorphisms
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 68 (2013) no. 5, pp. 789-860

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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. Bibliography: 49 titles.
Keywords: Vershik automorphisms, renormalization, rate of convergence in the ergodic theorem, limit theorems, finitely additive invariant measures, Teichmüller flow, Kontsevich–Zorich cocycle.
Mots-clés : Forni invariant distributions 
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     author = {A. I. Bufetov},
     title = {Limit theorems for suspension flows over {Vershik} automorphisms},
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A. I. Bufetov. Limit theorems for suspension flows over Vershik automorphisms. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 68 (2013) no. 5, pp. 789-860. http://geodesic.mathdoc.fr/item/RM_2013_68_5_a0/