Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Isotropic diffeomorphisms: solutions to a differential system for a
  deformed random fields study   This Note presents the resolution of a differential system on the plane that
translates a geometrical problem about isotropic deformations of area and
length. The system stems from a probability study on deformed random fields
[J.Fournier '17], which are the composition of a random field with invariance
properties defined on the plane with a deterministic diffeomorphism. The
explicit resolution of the differential system allows to prove that a weak
notion of isotropy of the deformed field, linked to its excursion sets, in fact
coincides with the strong notion of isotropy. The present Note first introduces
the probability framework that gave rise to the geometrical issue and then
proposes its resolution.

10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex