Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Prescribing the Postsingular Dynamics of Meromorphic Functions   We show that any dynamics on any discrete planar sequence $S$ can be realized
by the postsingular dynamics of some transcendental meromorphic function,
provided we allow for small perturbations of $S$. This work was influenced by
an analogous result of DeMarco, Koch and McMullen for finite $S$ in the
rational setting. The proof contains a method for constructing meromorphic
functions with good control over both the postsingular set of $f$ and the
geometry of $f$, using the Folding Theorem of Bishop and a classical fixpoint
theorem of Tychonoff.

16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas