Videos

Local Universality of the Time-Time Covariance and of the Geodesic Tree for Last Passage Percolation

Presenter
October 20, 2021
Keywords:
  • Last passage percolation
  • KPZ universality class
  • Local universality
  • Geodesic tree
MSC:
  • 60K35
  • 82C22
  • 82B43
Abstract
We consider time correlation for KPZ growth in 1+1 dimensions in a neighborhood of a characteristics. We prove convergence and local universality of the covariance with droplet, flat and some random initial profiles. Furthermore, we show that also the geodesic tree is locally universal. These are joint works with Alessandra Occelli and Ofer Busani.