Abstract:
I shall show several models where several interacting particles
evolve in time. One arises from the study of tilings by dominoes of a
shape in the plane called the Aztec diamond. One is constructed by
several Brownian motions reflecting of each other. One comes from a
random matrix whose elements evolve in time. For the first two,
transition probabilities, respectively densities, can be written down on
a nice determinantal form. The last two are determinantal processes
along space-like paths which means that certain probabilities there too
can be computed by evaluating determinants.
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