Watson, Alexander R;
(2023)
A growth-fragmentation model connected to the ricocheted stable process.
Journal of Applied Probability
, 60
(2)
pp. 493-503.
10.1017/jpr.2022.61.
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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.
| Type: | Article |
|---|---|
| Title: | A growth-fragmentation model connected to the ricocheted stable process |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1017/jpr.2022.61 |
| Publisher version: | https://doi.org/10.1017/jpr.2022.61 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher's terms and conditions. |
| Keywords: | random planar maps; statistical physics; Lévy process; stable process; self-similar Markov process |
| UCL classification: | UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Statistical Science UCL > Provost and Vice Provost Offices > UCL BEAMS UCL |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10150802 |
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