[see also: beyond, away, off]
The family of 4-sets will be used to generate a symmetry outside $N$ but in $M$.
Outside the fixed points, the group $T$ acts freely on $M$.
In the latter case we may simply adjust $F$ to equal 1 on the Borel set where it falls outside the specified interval.
In the present paper we move outside the random walk case and treat time-inhomogeneous convolutions.
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