Pushing and blocking interactions in a random growth process
I will introduce an interacting particle system called PushASEP where particles attempt nearest neighbour jumps on the integer lattice and remain in the same order due to local interactions of pushing and blocking between particles. With a wall at the origin, the paths of the particles can be viewed as a discrete-time growth process. I will describe this process, its invariant measure and relations to the Polynuclear growth model and random matrices.
Date:
18 November 2024, 14:00 (Monday, 6th week, Michaelmas 2024)
Venue:
Mathematical Institute, Woodstock Road OX2 6GG
Speaker:
Will Fitzgerald (University of Manchester)
Organising department:
Department of Statistics
Part of:
Probability seminar
Booking required?:
Not required
Audience:
Public
Editors:
James Martin,
Julien Berestycki
