Mat-1.3656 Seminar on
numerical analysis and computational science
Monday,Apr 18 , 2011, room
U322 at 14.15, Eirola & Stenberg
Harri Varpanen,
Juggler's exclusion process
Juggler's exclusion process describes a system of particles on the
positive integers, where the particles drift down to zero at unit speed,
and after a particle hits zero, it is thrown into an randomly chosen
unoccupied site. We show that such a process, when started with finitely
many particles, is ergodic if the family of throw height distributions
is uniformly integrable. Moreover, we discuss a special case of the
process where the particles are thrown according to a maximum entropy
principle. This special process, started with a finite number of
particles, is shown to reach its steady state in finite deterministic
time. This is joint work with Lasse Leskelä.