Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Indecomposable continua in exponential dynamics-Hausdorff dimension   We study some forward invariant sets appearing in the dynamics of the
exponential family. We prove that the Hausdorff dimension of the sets under
consideration is not larger than $1$. This allows us to prove, as a
consequence, a result for some dynamically defined indecomposable continua
which appear in the dynamics of the exponential family. We prove that the
Hausdorff dimension of these continua is equal to one.

28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int