Open Access
2017 The existence phase transition for two Poisson random fractal models
Erik I. Broman, Johan Jonasson, Johan Tykesson
Electron. Commun. Probab. 22: 1-8 (2017). DOI: 10.1214/17-ECP52

Abstract

In this paper we study the existence phase transition of the random fractal ball model and the random fractal box model. We show that both of these are in the empty phase at the critical point of this phase transition.

Citation

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Erik I. Broman. Johan Jonasson. Johan Tykesson. "The existence phase transition for two Poisson random fractal models." Electron. Commun. Probab. 22 1 - 8, 2017. https://doi.org/10.1214/17-ECP52

Information

Received: 12 October 2016; Accepted: 7 March 2017; Published: 2017
First available in Project Euclid: 30 March 2017

zbMATH: 1361.60086
MathSciNet: MR3635694
Digital Object Identifier: 10.1214/17-ECP52

Subjects:
Primary: 60K35

Keywords: Boolean models , coverage , fractal models

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