Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local time and Tanaka formula of $G$-martingales   The objective of this paper is to study the local time and Tanaka formula of
symmetric $G$-martingales. We introduce the local time of $G$-martingales and
show that they belong to $G$-expectation space $L_{G}^{2}(\Omega _{T})$. The
bicontinuous modification of local time is obtained. We finally give the Tanaka
formula for convex functions of $G$-martingales.

4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org