Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rigorous computer-assisted bounds on renormalisation fixed point
  functions, eigenfunctions, and universal constants   We gain tight rigorous bounds on the renormalisation fixed point function for
period doubling in families of unimodal maps with degree 2 critical point. By
writing the relevant eigenproblems in a modified nonlinear form, we use these
bounds, together with a contraction mapping argument, to gain tight bounds on
the essential eigenvalues and eigenfunctions of the linearised renormalisation
operator at the fixed point and also those of the operator encoding the
universal scaling of added uncorrelated noise. We gain bounds on the
corresponding power series coefficients and universal constants accurate to
over 400 significant figures, confirming and (in the case of noise) extending
the accuracy of previous numerical estimates, by using multi-precision interval
arithmetic with rigorous directed rounding to implement operations on a space
of analytic functions.

29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph