Projects per year
Personal profile
Research interests
My research is mainly in pure and applied probability; I am a member of the ProbL@B (Probability Laboratory at Bath).
I work in a number of interconnected areas, mostly in and around Stochastic Geometry. My recent and current areas of research activity include the following: discrete and continuous percolation; interacting particle systems, particularly models of spatial deposition, and the resulting point processes; random packing of hard spheres; limit theorems in stochastic geometry, including rates of convergence and applications; spatial random networks, for example random geometric graphs and also directed and dynamical random networks; stochastic combinatorics, e.g. allocation models and random matrices; stochastic analysis on Poisson spaces - Stein's method and Malliavin calculus.
My monograph 'Random Geometric Graphs' (Oxford University Press, 2003) continues to inform some (though not all) of my research (and that of others).
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Projects
- 2 Finished
Parameter Estimation in Cooperative Sequential Adsorption
20/02/10 → 27/03/10
Project: Research council
Research Output
Leaves on the line and in the plane
Penrose, M., 5 May 2020, In : Electronic Journal of Probability. 25, p. 1-40 40 p., 53.Research output: Contribution to journal › Article
Open Access
File
5
Downloads
(Pure)
Optimal Cheeger cuts and bisections of random geometric graphs
Penrose, M. & Müller, T., 14 Sep 2019, In : Annals of Applied Probability. 33 p.Research output: Contribution to journal › Article
Open Access
File
14
Downloads
(Pure)
Inhomogeneous random graphs, isolated vertices, and Poisson approximation
Penrose, M. D., 1 Mar 2018, In : Journal of Applied Probability. 55, 1, p. 112-136 25 p.Research output: Contribution to journal › Article
Open Access
File
1
Citation
(Scopus)
27
Downloads
(Pure)
Non-triviality of the vacancy phase transition for the Boolean model
Penrose, M., 31 Jul 2018, In : Electronic Communications in Probability. 23, 49, p. 1-8 8 p., 49.Research output: Contribution to journal › Article
Open Access
1
Citation
(Scopus)
On the critical threshold for continuum AB percolation
Dereudre, D. & Penrose, M., 1 Dec 2018, In : Journal of Applied Probability. p. 1228-1237Research output: Contribution to journal › Article
Open Access
File
28
Downloads
(Pure)
Thesis
Critical values in continuum and dependent percolation
Author: Rosoman, T., 1 Jun 2011Supervisor: Penrose, M. (Supervisor)
Student thesis: Doctoral Thesis › PhD
File
On the phase transition in certain percolation models.
Author: Daniels, C., 22 Feb 2016Supervisor: Penrose, M. (Supervisor) & Matthies, K. (Supervisor)
Student thesis: Doctoral Thesis › PhD
File