Natural measures on random fractals

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Date(s) - 23/11/2018
11 h 00 min - 12 h 00 min

Catégories Pas de Catégories

Several fractals that arise as the scaling limit of statistical physics models come equipped with a natural measure. This measure can often be defined equivalently in multiple ways: axiomatically, via Minkowski content, or as the limit of counting measure for the discrete model. We study such measures for the Schramm-Loewner evolution, percolation pivotal points, and various fractals in the geometry of Liouville quantum gravity. Based on joint works with subsets of Bernardi, Lawler, Li, and Sun.

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