Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chaotic Systems with Absorption   Motivated by applications in optics and acoustics we develop a
dynamical-system approach to describe absorption in chaotic systems. We
introduce an operator formalism from which we obtain (i) a general formula for
the escape rate $\kappa$ in terms of the natural conditionally-invariant
measure of the system; (ii) an increased multifractality when compared to the
spectrum of dimensions $D_q$ obtained without taking absorption and return
times into account; and (iii) a generalization of the Kantz-Grassberger formula
that expresses $D_1$ in terms of $\kappa$, the positive Lyapunov exponent, the
average return time, and a new quantity, the reflection rate. Simulations in
the cardioid billiard confirm these results.

29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
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The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph