Publication: Fragmentations, growth-fragmentations, and random structures
Fragmentations, growth-fragmentations, and random structures
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Shi, Q. (2016). Fragmentations, growth-fragmentations, and random structures. (Dissertation, University of Zurich) https://doi.org/10.5167/uzh-126907
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In this thesis we study the stochastic model of fragmentation phenomena. We focus on two themes: applications to random laminations of the disk, and growth-fragmentation processes. In the first part we use fragmentatio n theory as the principal tool to study Aldous' Brownian triangulation of the disk, that is a random set of non-crossing chords that divide the disk into triangles. We investigate the number of large triangles and the law of the length of the longest chord, and generalize these results to stable laminations. As part of
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Shi, Q. (2016). Fragmentations, growth-fragmentations, and random structures. (Dissertation, University of Zurich) https://doi.org/10.5167/uzh-126907
