M
Mathew D. Penrose
Researcher at University of Bath
Publications - 136
Citations - 5214
Mathew D. Penrose is an academic researcher from University of Bath. The author has contributed to research in topics: Central limit theorem & Poisson distribution. The author has an hindex of 35, co-authored 133 publications receiving 4799 citations. Previous affiliations of Mathew D. Penrose include University of Edinburgh & University of California, Santa Barbara.
Papers
More filters
Journal ArticleDOI
Mathematics of random growing interfaces
TL;DR: In this paper, the authors established a thermodynamic limit and Gaussian fluctuations for the height and surface width of the random interface formed by the deposition of particles on surfaces, and proved with the aid of general limit theorems for stabilizing functionals of marked Poisson point processes.
Journal ArticleDOI
Vertex ordering and partitioning problems for random spatial graphs
TL;DR: In this paper, the authors give growth rates for the costs of some of these problems on supercritical percolation processes and supercritical random geometric graphs, obtained by placing vertices randomly in the unit cube and joining them whenever at most some threshold distance apart.
Book ChapterDOI
Linear Orderings of Random Geometric Graphs
TL;DR: It is proved that some of these layout problems on random geometric graphs remain NP-complete even for geometric graphs, and the probabilistic behavior of the lexicographic ordering for these problems on the class ofrandom geometric graphs is characterized.
Book
Random Graphs, Geometry and Asymptotic Structure
Michael Krivelevich,Konstantinos Panagiotou,Mathew D. Penrose,Colin McDiarmid,Nikolaos Fountoulakis,Dan Hefetz +5 more
TL;DR: This chapter discusses long paths and Hamiltonicity in Random Graphs, random graphs from Restricted Classes, and lessons on Random Geometric Graphs from Minor-closed Class.
Posted Content
Non-triviality of the vacancy phase transition for the Boolean model
TL;DR: In this article, it was shown that whenever the radius distribution has a finite $d$-th moment, there exists a strictly positive value for the intensity such that the vacant region percolates.