I am looking for a good reference on a general phenomenon of quasi-classical limit in representation theory, which relates "large" representations to measures on (co-adjoint orbits of) the associated Lie algebra.
On the probabilistic side, this relates to the fact that uniformly random tilings ...
I'm not sure this is the right place, but I was hoping someone could help me understand the answer I got to this question: http://mathoverflow.net/questions/144593/characterization-of-the-laplace-transform
