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

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  • Shi, Quan

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.

Suggested Citation

  • Shi, Quan, 2015. "On the number of large triangles in the Brownian triangulation and fragmentation processes," Stochastic Processes and their Applications, Elsevier, vol. 125(11), pages 4321-4350.
    • Handle: RePEc:eee:spapps:v:125:y:2015:i:11:p:4321-4350
    DOI: 10.1016/j.spa.2015.07.002
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    References listed on IDEAS

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    1. Perman, Mihael, 1993. "Order statistics for jumps of normalised subordinators," Stochastic Processes and their Applications, Elsevier, vol. 46(2), pages 267-281, June.
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