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math.PR2013
Integrable probability: From representation theory to Macdonald processes
Alexei Borodin, Leonid Petrov
These are lecture notes for a mini-course given at the Cornell Probability Summer School in July 2013. Topics include lozenge tilings of polygons and their representation theoretic…
math.PR2013★ 14 cited
The q-PushASEP: A New Integrable Model for Traffic in 1+1 Dimension
Ivan Corwin, Leonid Petrov
We introduce a new interacting (stochastic) particle system q-PushASEP which interpolates between the q-TASEP introduced by Borodin and Corwin (see arXiv:1111.4408, and also arXiv:…
math.PR2013
Nearest neighbor Markov dynamics on Macdonald processes
Alexei Borodin, Leonid Petrov
Macdonald processes are certain probability measures on two-dimensional arrays of interlacing particles introduced by Borodin and Corwin (arXiv:1111.4408 [math.PR]). They are defin…