Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Biot-Savart type magnetic field quantization via prime number theory,
  applications to symbolic dynamics   In the present work we propose an algorithm based on the theory of prime
numbers for the estimation of the magnetic field in a device of current
carrying circular rings. Using the proposed algorithm, the magnetic field can
be determined in a very good agreement with that resulting from an algorithm
based on the Biot-Savart law. In addition, the prime-numbers-based algorithm
gives quantized values of the magnetic field and reveals previously unknown
behaviors such as special properties of the distribution of the waiting times
at the quantized magnetic field values. Applications of the proposed
prime-numbers-based algorithm to systems exhibiting symbolic dynamics is
presented, proving its ability to provide a measure of the existence or not of
dynamics in the system.

25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
2
The categories of this paper are: math
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin