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

[HYBRID WORKSHOP] Integrable Structures in Random Matrix Theory and Beyond October 18, 2021 - October 22, 2021

October 20, 2021 (10:20 AM PDT - 11:10 AM PDT)
Speaker(s): Patrik Ferrari (Rheinische Friedrich-Wilhelms-Universit├Ąt Bonn)
Location: MSRI: Simons Auditorium, Online/Virtual
Tags/Keywords
  • Last passage percolation

  • KPZ universality class

  • Local universality

  • Geodesic tree

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification
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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.

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