Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entire Fredholm determinants for Evaluation of Semi-classical and
  Thermodynamical Spectra   Proofs that Fredholm determinants of transfer operators for hyperbolic flows
are entire can be extended to a large new class of multiplicative evolution
operators. We construct such operators both for the Gutzwiller semi-classical
quantum mechanics and for classical thermodynamic formalism, and introduce a
new functional determinant which is expected to be entire for Axiom A flows,
and whose zeros coincide with the zeros of the Gutzwiler-Voros zeta function.

13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph