Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Decay of Correlations for the Rauzy-Veech-Zorich Induction Map on the
  Space of Interval Exchange Transformations and the Central Limit Theorem for
  the Teichmueller Flow on the Moduli Space of Abelian Differentials   A stretched-exponential bound is obtained for the decay of correlations of
the Rauzy-Veech-Zorich induction map on the space of interval exchange
transformations. A Corollary is the Central Limit Theorem for the Teichmueller
flow on the moduli space of abelian differentials.
  The proof involves an approximation of the induction map by a Markov chain
satisfying the Doeblin condition, the method of Sinai and Bunimovich--Sinai.
The main estimate is Lemma 4. As a corollary of such "loss of memory"
estimates, integrability of a small power of the Kontsevich-Zorich cocycle is
obtained, thus yielding a variant of J.Athreya's exponential bound on the
probability of returns of the Teichmueller flow into compact sets.
  An earlier version of this preprint is available from the preprint archive of
the Erwin Schroedinger Institute, Vienna, www.esi.ac.at, preprint no.1593 (Jan.
2005).

22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol