Before revision:  The algorithms are self-stabilizing even in such a memoryless model, in the sense that the searchers may be located anywhere in the polygon when the execution begins, and hence the information they initially encode is arbitrary  .
After revision:  The algorithms are self-stabilizing even in such a memoryless model, in the sense that the searchers may be located anywhere in the polygon when the execution begins, and hence the information they initially encode is arbitrary . Our algorithms use a self-stabilizing map construction subroutine which is of independent interest .