Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The martingale approach after Varadhan and Dolgopyat   We present, in the simplest possible form, the so called martingale problem
strategy to establish limit theorems. The presentation is specially adapted to
problems arising in partially hyperbolic dynamical systems. We will discuss a
simple partially hyperbolic example with fast-slow variables and use the
martingale method to prove an averaging theorem and study fluctuations from the
average. The emphasis is on ideas rather than on results. Also, no effort
whatsoever is done to review the vast literature of the field.

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The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: hep-th
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg