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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Collaborations and top research areas from the last five years
Projects
- 3 Finished
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Coverage and connectivity in stochastic geometry
Penrose, M. (PI)
Engineering and Physical Sciences Research Council
15/12/20 → 15/03/25
Project: Research council
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Parameter Estimation in Cooperative Sequential Adsorption
Penrose, M. (PI)
20/02/10 → 27/03/10
Project: Research council
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On k-clusters of high-intensity random geometric graphs
Penrose, M. & Yang, X., 11 Jan 2026, (E-pub ahead of print) In: Stochastic Processes and their Applications. 41 p., 104882.Research output: Contribution to journal › Article › peer-review
Open Access -
Covering one point process with another
Higgs, F., Penrose, M. & Yang, X., 29 Apr 2025, In: Methodology and Computing in Applied Probability. 27, 2, 40.Research output: Contribution to journal › Article › peer-review
Open Access -
Fluctuations of the connectivity threshold and largest nearest-neighbour link
Penrose, M. & Yang, X., 1 Dec 2025, In: Annals of Applied Probability. 35, 6, p. 3906-3941Research output: Contribution to journal › Article › peer-review
Open Access -
On the rate of convergence in the Hall-Janson coverage theorem
Penrose, M. & Yang, X., 31 Jul 2025, (Acceptance date) In: Indian Journal of Pure and Applied Mathematics.Research output: Contribution to journal › Article › peer-review
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Corrections: on the capacity functional of the infinite cluster of a Boolean model
Last, G., Penrose, M. & Zuyev, S., 30 Jun 2024, In: Annals of Applied Probability. 34, 3, p. 3370-3374 5 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile1 Citation (SciVal)69 Downloads (Pure)
Datasets
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Dataset for "Covering one point process with another"
Higgs, F. (Creator), Penrose, M. (Creator) & Yang, X. (Creator), University of Bath, 29 Apr 2025
DOI: 10.15125/BATH-01359, https://github.com/frankiehiggs/CovXY
Dataset