Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Hutchinson-Barnsley theory for generalized iterated function systems
  by means of infinite iterated function systems   The study of generalized iterated function systems (GIFS) was introduced by
Mihail and Miculescu in 2008. We provide a new approach to study those systems
as the limit of the Hutchinson-Barnsley theory for infinite iterated function
systems (IIFS) which was developed by many authors in the last years. We show
that any attractor of a contractive generalized iterated function system is the
limit w.r.t Hausdorff-Pompeiu metric of attractors of contractive infinite
iterated function systems. We also prove that any Hutchinson measure for a
contractive generalized iterated function system with probabilities is the
limit w.r.t. the Monge-Kantorovich metric of the Hutchinson measures for
contractive infinite iterated function systems with probabilities.

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The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess