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Seminar

Transition Probabilities and Expectation Values for Multi-Species Exclusion Processes November 23, 2021 (11:00 AM PST - 12:00 PM PST)
Parent Program:
Location: SLMath: Online/Virtual, Baker Board Room
Speaker(s) Jan DeGier (The University of Melbourne)
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Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Transition Probabilities And Expectation Values For Multi-Species Exclusion Processes
Abstract/Media

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I will discuss several exact results for transition probabilities and observables for the multi-species (T)ASEP and AHR models. These take the form of multiple contour integrals over factorised or determinantal kernels with dynamic poles arising from a nested Bethe ansatz approach. I will provide specific details for 2-TASEP and sketch the approach to extract asymptotic probability distributions in the case of the AHR model.

92017?type=thumb Transition Probabilities and Expectation Values for Multi-Species Exclusion Processes 671 KB application/pdf

Transition Probabilities And Expectation Values For Multi-Species Exclusion Processes