BIRS Workshop Lecture Videos

Banff International Research Station Logo

BIRS Workshop Lecture Videos

Endpoints of disjoint Geodesics in the directed Landscape Bates, Erik


Brownian last passage percolation (LPP) has proved a fruitful arena for understanding the geometry of geodesics, or "polymers", arising in models within the Kardar--Parisi--Zhang universality class. The recent construction by Dauvergne, Ortmann, and Virág of a scaling limit for Brownian LPP---the directed landscape---offers a setting in which this understanding can be phrased in terms of fractal geometry. Moreover, the measure theoretic "content" of the directed landscape is carried by exceptional space-time points admitting disjoint geodesics. This talk will quantify, in terms of Hausdorff dimension, the size of some of these exceptional sets, thus shedding light on the landscape's rich fractal structure. (Joint work with Shirshendu Ganguly and Alan Hammond.)

Item Media

Item Citations and Data


Attribution-NonCommercial-NoDerivatives 4.0 International