Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Brownian forgery of statistical dependences   The balance held by Brownian motion between temporal regularity and
randomness is embodied in a remarkable way by Levy's forgery of continuous
functions. Here we describe how this property can be extended to forge
arbitrary dependences between two statistical systems, and then establish a new
Brownian independence test based on fluctuating random paths. We also argue
that this result allows revisiting the theory of Brownian covariance from a
physical perspective and opens the possibility of engineering nonlinear
correlation measures from more general functional integrals.

22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics