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A growth-fragmentation model connected to the ricocheted stable process
Published online by Cambridge University Press: 08 November 2022
Abstract
Growth-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.
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- © The Author(s), 2022. Published by Cambridge University Press on behalf of Applied Probability Trust
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