  Recently the study of noise sensitivity and noise stability of Boolean
functions has received considerable attention. The purpose of this paper is to
extend these notions in a natural way to a different class of perturbations,
namely those arising from running the symmetric exclusion process for a short
amount of time. In this study, the case of monotone Boolean functions will turn
out to be of particular interest. We show that for this class of functions,
ordinary noise sensitivity and noise sensitivity with respect to the complete
graph exclusion process are equivalent. We also show this equivalence with
respect to stability.
  After obtaining these fairly general results, we study "exclusion
sensitivity" of critical percolation in more detail with respect to
medium-range dynamics. The exclusion dynamics, due to its conservative nature,
is in some sense more physical than the classical i.i.d dynamics.
Interestingly, we will see that in order to obtain a precise understanding of
the exclusion sensitivity of percolation, we will need to describe how typical
spectral sets of percolation diffuse under the underlying exclusion process.
