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 Dive into the research topics where Mathew Penrose is active. These topic labels come from the works of this person. Together they form a unique fingerprint.
- 1 Similar Profiles
Poisson process
Mathematics
Random Geometric Graph
Mathematics
Stochastic Geometry
Mathematics
Point Process
Mathematics
Random Sequential Adsorption
Mathematics
Boolean Model
Mathematics
Central limit theorem
Mathematics
Adsorption
Engineering & Materials Science
Network
Recent external collaboration on country level. Dive into details by clicking on the dots.
Projects 2010 2011
- 2 Finished
Parameter Estimation in Cooperative Sequential Adsorption
20/02/10 → 27/03/10
Project: Research council
Research Output 2001 2019
Optimal Cheeger cuts and bisections of random geometric graphs
Penrose, M. & Müller, T., 14 Sep 2019, (Accepted/In press) In : Annals of Applied Probability. 33 p.Research output: Contribution to journal › Article
1
Citation
(Scopus)
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
Poisson Approximation
Random Graphs
Statistics
Stein's Method
Poisson Point Process
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
Boolean Model
D-space
Vacancy
Poisson Model
Strictly positive
15
Downloads
(Pure)
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
Lectures on the Poisson Process
Last, G. & Penrose, M., 21 Dec 2017, Cambridge University Press. 313 p.Research output: Book/Report › Book
Stochastic Geometry
Poisson process
Boolean Model
Stochastic Analysis
Measure space
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