Skorokhod problem

In probability theory, the Skorokhod problem is the problem of solving a with a reflecting boundary condition.

The problem is named after Anatoliy Skorokhod who first published the solution to a stochastic differential equation for a reflecting Brownian motion.

The classic version of the problem states that given a càdlàg process {X(t), t ≥ 0} and an M-matrix R, then stochastic processes {W(t), t ≥ 0} and {Z(t), t ≥ 0} are said to solve the Skorokhod problem if for all non-negative t values,

The matrix R is often known as the reflection matrix, W(t) as the reflected process and Z(t) as the regulator process.

List of things named after Anatoliy Skorokhod

...
Wikipedia