On the number of large triangles in the Brownian triangulation and fragmentation processes

Quan Shi

Stochastic Processes and their Applications, 2015, vol. 125, issue 11, 4321-4350

Abstract: The Brownian triangulation is a random compact subset of the unit disk introduced by Aldous. For ϵ>0, let N(ϵ) be the number of triangles whose sizes (measured in different ways) are greater than ϵ in the Brownian triangulation. We determine the asymptotic behavior of N(ϵ) as ϵ→0.

Keywords: Brownian triangulation; Self-similar fragmentation; Geodesic stable lamination (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1016/j.spa.2015.07.002

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