Alexei Borodin, Vadim Gorin
Published 2012-12-13, updated 2015-01-18Version 2
These are lecture notes for a mini-course given at the St. Petersburg School in Probability and Statistical Physics in June 2012. Topics include integrable models of random growth, determinantal point processes, Schur processes and Markov dynamics on them, Macdonald processes and their application to asymptotics of directed polymers in random media.
Comments: 64 pages, 23 figures. v2: minor misprints corrected, references updated
Determinantal point processes from symplectic and orthogonal characters and applications
A hierarchy of Palm measures for determinantal point processes with gamma kernels
Difference operators and determinantal point processes
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