Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometry of $Q$-recurrent maps   Given a critically periodic quadratic map with no secondary
  renormalizations, we introduce the notion of $Q$-recurrent quadratic
  polynomials. We show that the pieces of the principal nest of a
  $Q$-recurrent map $f_c$ converge in shape to the Julia set of $Q$. We use
  this fact to compute analytic invariants of the nest of $f_c$, to give a
  complete characterization of complex quadratic Fibonacci maps and to obtain
  a new auto-similarity result on the Mandelbrot set.

8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics