Interacting particle systems and random walks on Hecke algebra

Hybrid. https://hu-berlin.zoom.us/j/61686623112
Contact: Gaetan Borot (borot@hu-berlin.de)
 

Multi-species versions of several interacting particle systems, including asymmetric simple exclusion process (ASEP), q-TAZRP, and some coalescence processes, can be interpreted as random walks on Hecke algebras. In the talk I will discuss this connection and its probabilistic applications.