Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fluctuations of $1/f$ noise and the low frequency cutoff paradox   Recent experiments on blinking quantum dots and weak turbulence in liquid
crystals reveal the fundamental connection between $1/f$ noise and power law
intermittency. The non-stationarity of the process implies that the power
spectrum is random -- a manifestation of weak ergodicity breaking. Here we
obtain the universal distribution of the power spectrum, which can be used to
identify intermittency as the source of the noise. We solve an outstanding
paradox on the non integrability of $1/f$ noise and the violation of Parseval's
theorem. We explain why there is no physical low frequency cutoff and therefore
cannot be found in experiments.

37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
2
The categories of this paper are: math
14
The categories of this paper are: math-ph