Geodesic stars in random geometry

Por • 3 feb, 2021 • Sección: Leyes

Jean-François Le Gall

A point of a metric space is called a geodesic star with m arms if it is the endpoint of m disjoint geodesics. For every m∈{1,2,3,4}, we prove that the set of all geodesic stars with m arms in the Brownian sphere has dimension 5−m. This complements recent results of Miller and Qian, who proved that this dimension is smaller than or equal to 5−m.

arXiv:2102.00489v1 [math.PR]

Probability (math.PR)

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