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A general beta crossover ensemble
ProbabilitySpeaker: | Brian Rider, Temple University |
Related Webpage: | https://math.temple.edu/~brider/ |
Location: | 1147 MSB |
Start time: | Wed, Feb 19 2020, 4:10PM |
I'll describe an operator limit for a family of general beta ensembles which exhibit a double-scaling. In particular, a free parameter in the system provides for a cross-over between the more well-known soft" and "hard" edge point processes. Our new limit operator takes as input the Riccati diffusion associated with the Stochastic Airy Operator. This suggests a hierarchy of random operators analogous to the Painleve hierarchy observed at the level of correlation functions for double-scaling ensembles most widely studied at $\beta = 2$. Joint work with Jose Ramírez (Univ. Costa Rica).