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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
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Coverage and connectivity in stochastic geometry
Engineering and Physical Sciences Research Council
15/12/20 → 13/05/24
Project: Research council
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Parameter Estimation in Cooperative Sequential Adsorption
20/02/10 → 27/03/10
Project: Research council
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Random Euclidean coverage from within
Penrose, M. D., Apr 2023, In: Probability Theory and Related Fields. 185, 3-4, p. 747-814 68 p.Research output: Contribution to journal › Article › peer-review
Open Access2 Citations (SciVal) -
Giant component of the soft random geometric graph
Penrose, M., 31 Dec 2022, In: Electronic Communications in Probability. 27, p. 1-10 10 p., 53.Research output: Contribution to journal › Article › peer-review
Open Access -
Limit theory of combinatorial optimization for random geometric graphs
Mitsche, D. & Penrose, M. D., Dec 2021, In: Annals of Applied Probability. 31, 6, p. 2721-2771 51 p., 0.Research output: Contribution to journal › Article › peer-review
Open AccessFile13 Downloads (Pure) -
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 › peer-review
Open AccessFile1 Citation (SciVal)24 Downloads (Pure) -
Optimal Cheeger cuts and bisections of random geometric graphs
Penrose, M. & Müller, T., 30 Jun 2020, In: Annals of Applied Probability. 30, 3, p. 1458-1483 26 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile3 Citations (SciVal)35 Downloads (Pure)