The question is as stated. I have thought about this for a while and can't really get anywhere. Here strictly positive means non-zero on non-empty open sets (in this case with a finite interval we are dealing with the topology of uniform convergence). I am pretty sure by considering drifts that it is enough to consider an open ball around a path which starts and ends at 0 but I can't see beyond this. Thanks in advance!
2026-02-23 10:02:50.1771840970
Why is Wiener measure on $C[0,1]$ strictly positive?
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