  We study the distribution of additive functionals of reset Brownian motion, a
variation of normal Brownian motion in which the path is interrupted at a given
rate and placed back to a given reset position. Our goal is two-fold: (1) For
general functionals, we derive a large deviation principle in the presence of
resetting and identify the large deviation rate function in terms of a
variational formula involving large deviation rate functions without resetting.
(2) For three examples of functionals (positive occupation time, area and
absolute area), we investigate the effect of resetting by computing
distributions and moments, using a formula that links the generating function
with resetting to the generating function without resetting.
