Benedek Valko: The TASEP speed process

Speaker: Benedek Valko

Title: The TASEP speed process

Abstract: In a multi-type totally asymmetric simple exclusion process (TASEP) on the line, each site of Z is occupied by a particle labeled with a number given by its initial position. Two neighboring particles are interchanged at rate one if their labels are in increasing order.

This dynamics forces each particle to choose its own random speed. The speeds are not independent, and have some striking properties.

(Joint with G. Amir and O. Angel)