Abstract
AbstractGrowth-fragmentation processes describe the evolution of systems in which cells grow slowly and fragment suddenly. Despite originating as a way to describe biological phenomena, they have recently been found to describe the lengths of certain curves in statistical physics models. In this note, we describe a new growth-fragmentation process connected to random planar maps with faces of large degree, having as a key ingredient the ricocheted stable process recently discovered by Budd. The process has applications to the excursions of planar Brownian motion and Liouville quantum gravity.
Publisher
Cambridge University Press (CUP)
Subject
Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability
Reference21 articles.
1. Random planar maps and growth-fragmentations
2. Self-similar fragmentations
3. On the distribution of first hits for the symmetric stable processes;Blumenthal;Trans. Amer. Math. Soc.,1961
4. [12] Da Silva, W. (2021). Self-similar signed growth-fragmentations. Preprint, arXiv:2101.02582v1 [math.PR].
5. Markovian growth-fragmentation processes
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. The critical tree of a renormalization model as a growth-fragmentation process;Annales de l'Institut Henri Poincaré, Probabilités et Statistiques;2024-08-01