Scaling Limit of Colored Asymmetric Simple Exclusion Process

Explore a lecture on the scaling limit of colored Asymmetric Simple Exclusion Process (ASEP) presented by Ivan Corwin from Columbia University at IPAM's Vertex Models workshop. Delve into the intricacies of a particle system where each site on Z is initially occupied by a color-coded particle, and learn about the swapping dynamics based on particle order. Discover how the Yang-Baxter equation and Gibbs line ensemble techniques are employed to extract the space-time scaling limit of this process and its discrete time analog, the colored stochastic six vertex model. Gain insights into the Kardar-Parisi-Zhang universality class, including the Airy sheet, directed landscape, and KPZ fixed point. Uncover the collaborative research efforts with Amol Aggarwal and Milind Hegde in this hour-long presentation that bridges pure and applied mathematics in the study of vertex models and universality.

Ivan Corwin - Scaling limit of colored ASEP - IPAM at UCLA