Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A family of projectively natural polygon iterations   The pentagram map was invented by Richard Schwartz in his search for a
projective-geometric analogue of the midpoint map. It turns out that the
dynamical behavior of the pentagram map is totally different from that of the
midpoint map. Recently, Schwartz has constructed a related map, the projective
heat map, which empirically exhibits similar dynamics as the midpoint map. In
this paper, we will demonstrate that there is a one-parameter family of maps
which behaves a lot like Schwartz's projective heat map.

11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con