Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Note on Operator Semigroups Associated to Chaotic Flows   The transfer operator associated to a flow (continuous time dynamical system)
is a one-parameter operator semigroup. We consider the operator-valued Laplace
transform of this one-parameter semigroup. Estimates on the Laplace transform
have be used in various settings in order to show the rate at which the flow
mixes. Here we consider the case of exponential mixing or rapid mixing (super
polynomial). We develop the operator theory framework amenable to this setting
and show that the same estimates may be used to produce results, in terms of
the operators, which go beyond the results for the rate of mixing. Such results
are useful for obtaining other statistical properties of the dynamical system.

1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom