Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On some errors related to the graduation of measuring instruments   The error on a real quantity Y due to the graduation of the measuring
instrument may be represented, when the graduation is regular and fines down,
by a Dirichlet form on R whose square field operator do not depend on the
probability law of Y as soon as this law possesses a continuous density. This
feature is related to the "arbitrary functions principle" (Poincar\'{e}, Hopf).
We give extensions of this property to multivariate case and infinite
dimensional case for approximations of the Brownian motion. We use a Girsanov
theorem for Dirichlet forms which has its own interest. Connections are given
with discretization of stochastic differential equations.

1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio