The existence phase transition for scale invariant Poisson random fractal models

DOI10.1214/19-AIHP978zbMath1434.60275arXiv1803.00258MaRDI QIDQ2179255

Erik I. Broman

Publication date: 12 May 2020

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.00258

zbMATH Keywords

phase transitionPoissonian random fractals

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (1)

The fractal cylinder process: existence and connectivity phase transitions

Cites Work

• Unnamed Item
• Unnamed Item
• The existence phase transition for two Poisson random fractal models
• Universal behavior of connectivity properties in fractal percolation models
• On the structure of Mandelbrot's percolation process and other random Cantor sets
• The Brownian loop soup
• Probability on Trees and Networks
• Random soups, carpets and fractal dimensions
• ON COVERING A CIRCLE BY RANDOMLY PLACED ARCS
• Theory of Random Sets
• Covering the line with random intervals

This page was built for publication: The existence phase transition for scale invariant Poisson random fractal models