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).
Fingerprint
Network
Projects
-
Coverage and connectivity in stochastic geometry
Engineering and Physical Sciences Research Council
15/12/20 → 14/12/23
Project: Research council
-
-
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 › peer-review
Open AccessFile13 Downloads (Pure) -
Limit theory of combinatorial optimization for random geometric graphs
Mitsche, D. & Penrose, M. D., 26 Jun 2020, (arXiv).Research output: Working paper
File1 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 33 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile24 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 › peer-review
Open AccessFile2 Citations (Scopus)35 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 › peer-review
Open Access1 Citation (Scopus)