一个与local time有关的问题

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请问以下的内容是什么字面以及数学含义？

one can work with the time-homogeneous process x(t)=s(t)-g(t) where the local times of x(t) at the origin, denoted by L(t;0) and L(t;0-), show up in expressions.

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关键词：Local time IME OCA Tim time Local

Let X(t) be a continuous semimartingale.
Then for any a ∈ IR there exists a continuous non-decreasing adapted
process La(t), called the local time at a of X, such that
|X(t) − a| = |X(0) − a| + integral o to a sign(X(s) − a)dX(s)+ La(t).

See more on books by Chung Kai-Lai.