There are no geodesic hubs in the Brownian sphere

Published 5 Jan 2025 in math.PR | (2501.02571v1)

Abstract: A point of a metric space is called a $k$-hub if it is the endpoint of exactly $k$ disjoint geodesics, and that the concatenation of any two of these paths is still a geodesic. We prove that in the Brownian sphere, there is no $k$-hub for $k\geq 3$.

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Authors (1)

Mathieu Mourichoux

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