  Mortality introduces an intrinsic time scale into the scale-invariant
Brownian motion. This fact has important consequences for different statistics
of Brownian motion. Here we are telling three short stories, where spontaneous
death, such as radioactive decay, puts a natural limit to "lifetime
achievements" of a Brownian particle. In story 1 we determine the probability
distribution of a mortal Brownian particle (MBP) reaching a specified point in
space at the time of its death. In story 2 we determine the probability
distribution of the area $A=\int_0^{T} x(t) dt$ of a MBP on the line. Story 3
addresses the distribution of the winding angle of a MBP wandering around a
reflecting disk in the plane. In stories 1 and 2 the probability distributions
exhibit integrable singularities at zero values of the position and the area,
respectively. In story 3 a singularity at zero winding angle appears only in
the limit of very high mortality. A different integrable singularity appears at
a nonzero winding angle. It is inherited from the recently uncovered
singularity of the short-time large-deviation function of the winding angle for
immortal Brownian motion.
