Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the relation of one-dimensional diffusions on natural scale and their
  speed measures   It is well-known that the law of a one-dimensional diffusion on natural scale
is fully characterized by its speed measure. C. Stone proved a continuous
dependence of diffusions on their speed measures. In this paper we establish
the converse direction, i.e. we prove a continuous dependence of the speed
measures on their diffusions. Furthermore, we take a topological point of view
on the relation. More precisely, for suitable topologies, we establish a
homeomorphic relation between the set of regular diffusions on natural scale
without absorbing boundaries and the set of locally finite speed measures.

22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom