A continuous-time random walk waits a random time at each site before jumping. Constant outgoing rates produce an exponential residence time, while the relative transition rates determine the destination of the next jump.
Particles perform independent continuous-time random walks until they meet, after which they share one path. A finite initial particle set remains finite and its cardinality cannot increase. They arise as the common ancestors of sites in a voter model. On the square lattice every pair eventually coalesces, because the difference walk is recurrent Markov chain.
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