Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-landing parameter rays of the multicorns   It is well known that every rational parameter ray of the Mandelbrot set
lands at a single parameter. We study the rational parameter rays of the
multicorn $\mathcal{M}_d^*$, the connectedness locus of unicritical
antiholomorphic polynomials of degree $d$, and give a complete description of
their accumulation properties. One of the principal results is that the
parameter rays accumulating on the boundaries of odd period (except period $1$)
hyperbolic components of the multicorns do not land, but accumulate on arcs of
positive length consisting of parabolic parameters.
  We also show the existence of undecorated real-analytic arcs on the
boundaries of the multicorns, which implies that the centers of hyperbolic
components do not accumulate on the entire boundary of $\mathcal{M}_d^*$, and
the Misiurewicz parameters are not dense on the boundary of $\mathcal{M}_d^*$.

20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg