Skorokhod problem
= Skorokhod problem
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Find a constrained path and a boundary regulator which together modify a given driving path. In the half-line case, write $x=g+k\ge0$, require $k(0)=0$ and $k$ nondecreasing, and require its increases to occur only where $x=0$. For multidimensional orthants the regulator acts through a specified reflection matrix. The <Skorokhod reflection map on the half-line> solves the one-dimensional continuous-path case explicitly.