Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some sufficient conditions for the ergodicity of the L\'evy
  transformation   We propose a possible way of attacking the question posed originally by
Daniel Revuz and Marc Yor in their book published in 1991. They were asking
whether the L\'evy transformation of the Wiener--space is ergodic. Our main
results are formulated in terms of a strongly stationary sequence of random
variables obtained by evaluating the iterated paths at time one. Roughly
speaking, this sequence has to approach zero "sufficiently fast". For example,
one of our results states that if the expected hitting time of small
neighbourhoods of the origin do not growth faster then the inverse of the size
of these sets then the L\'evy transformation is strongly mixing, hence ergodic.

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The categories of this paper are: funct-an
16
The categories of this paper are: stat
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
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The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol