Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Renormalization in the Golden-Mean Semi-Siegel H\'enon Family:
  Universality and Non-Rigidity   It was recently shown by Gaidashev and Yampolsky that appropriately defined
renormalizations of a sufficiently dissipative golden-mean semi-Siegel H\'enon
map converge super-exponentially fast to a one-dimensional renormalization
fixed point. In this paper, we show that the asymptotic two-dimensional form of
these renormalizations is universal, and is parameterized by the average
Jacobian. This is similar to the limit behavior of period-doubling
renormalization in the H\'enon family considered by de Carvalho, Lyubich and
Martens. As an application of our result, we prove that the boundary of the
golden-mean Siegel disk of a dissipative H\'enon map is non-rigid.

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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex