Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Critical states of transient chaos   One-dimensional maps exhibiting transient chaos and defined on two preimages
of the unit interval [0,1] are investigated. It is shown that such maps have
continuously many conditionally invariant measures $\mu_{\sigma}$ scaling at
the fixed point at x=0 as $x^{\sigma}$, but smooth elsewhere. Here $\sigma$
should be smaller than a critical value $\sigma_{c}$ that is related to the
spectral properties of the Frobenius-Perron operator. The corresponding natural
measures are proven to be entirely concentrated on the fixed point.

0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat