Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence of Brownian motions on RCD*(K,N) spaces   Suppose that a sequence of metric measure spaces X_n=(X_n, d_n, m_n)
satisfies RCD*(K,N) with Diam(X_n) <D and m_n(X_n)=1. Then Sturm's
D-convergence of X_n is equivalent to the weak convergence of the laws of
Brownian motions on X_n.

6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci