Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An anisotropic integral operator in high temperature superconductivity   A simplified model in superconductivity theory studied by P. Krotkov and A.
Chubukov \cite{KC1,KC2} led to an integral operator $K$ -- see (1), (2). They
guessed that the equation $E_0(a,T)=1$ where $E_0$ is the largest eigenvalue of
the operator $K$ has a solution $T(a)=1-\tau(a)$ with $\tau (a) \sim a^{2/5}$
when $a$ goes to 0. $\tau(a)$ imitates the shift of critical (instability)
temperature. We give a rigorous analysis of an anisotropic integral operator
$K$ and prove the asymptotic ($*$) -- see Theorem 8 and Proposition 10.
Additive Uncertainty Principle (of Landau-Pollack-Slepian [SP], \cite{LP1,LP2})
plays important role in this analysis.

15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ