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Research Output 2001 2018

2018
1 Citation (Scopus)
13 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 journalArticle

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 journalArticle

Open Access
Boolean Model
D-space
Vacancy
Poisson Model
Strictly positive
12 Downloads (Pure)

On the critical threshold for continuum AB percolation

Dereudre, D. & Penrose, M., 1 Dec 2018, In : Journal of Applied Probability. p. 1228-1237

Research output: Contribution to journalArticle

Open Access
File

Optimal Cheeger cuts and bisections of random geometric graphs

Penrose, M. & Müller, T., 22 May 2018, arXiv, 33 p.

Research output: Working paper

2017

Lectures on the Poisson Process

Last, G. & Penrose, M., 21 Dec 2017, Cambridge University Press. 313 p.

Research output: Book/ReportBook

Stochastic Geometry
Poisson process
Boolean Model
Stochastic Analysis
Measure space
1 Citation (Scopus)

On the capacity functional of the infinite cluster of a Boolean model

Last, G., Penrose, M. D. & Zuyev, S., 30 Jun 2017, In : Annals of Applied Probability. 27, 3, p. 1678-1701

Research output: Contribution to journalArticle

Open Access
Boolean Model
Radius
Ball
Poisson process
Critical Exponents

Percolation of even sites for enhanced random sequential adsorption

Daniels, C. J. E. & Penrose, M. D., Mar 2017, In : Stochastic Processes and their Applications. 127, 3, p. 803-830

Research output: Contribution to journalArticle

Random Sequential Adsorption
Adsorption
Color
2016
28 Citations (Scopus)
43 Downloads (Pure)

Connectivity of soft random geometric graphs

Penrose, M., Apr 2016, In : Annals of Applied Probability. 26, 2, p. 986-1028 43 p.

Research output: Contribution to journalArticle

Open Access
File
Random Geometric Graph
Connectivity
Poisson Approximation
Probability function
Higher Dimensions
1 Citation (Scopus)

The strong giant in a random digraph

Penrose, M. D., Mar 2016, In : Journal of Applied Probability. 53, 1, p. 57-70

Research output: Contribution to journalArticle

Digraph
Likely
Survival Probability
Poisson distribution
Branching process
2014
3 Citations (Scopus)

Continuum AB percolation and AB random geometric graphs

Penrose, M. D., 1 Dec 2014, In : Journal of Applied Probability. 51A, p. 333-344 12 p.

Research output: Contribution to journalArticle

Random Geometric Graph
Continuum
Poisson Point Process
Strong law of large numbers
D-space
23 Citations (Scopus)

Moments and central limit theorems for some multivariate Poisson functionals

Last, G., Penrose, M. D., Schulte, M. & Thaele, C., Jun 2014, In : Advances in Applied Probability. 46, 2, p. 348-364 19 p.

Research output: Contribution to journalArticle

Poisson process
Central limit theorem
Siméon Denis Poisson
Moment
Chaos theory
44 Downloads (Pure)

Rank deficiency in sparse random GF[2] matrices

Penrose, M., 14 Sep 2014, In : Electronic Journal of Probability. 19, 83, p. 1-36 36 p.

Research output: Contribution to journalArticle

Open Access
File
Zero vector
Converge
Weight Distribution
Hypergraph
Iterative Algorithm
2013
20 Citations (Scopus)

Limit theory for point processes in manifolds

Penrose, M. D. & Yukich, J. E., 2013, In : Annals of Applied Probability. 23, 6, p. 2161-2211 52 p.

Research output: Contribution to journalArticle

Point Process
Weak law of large numbers
Estimator
Weak Dependence
Rényi Entropy
10 Citations (Scopus)

Percolation and limit theory for the poisson lilypond model

Last, G. & Penrose, M. D., Mar 2013, In : Random Structures and Algorithms. 42, 2, p. 226-249 24 p.

Research output: Contribution to journalArticle

Poisson Model
Point Process
Ball
D-space
Strictly positive
7 Citations (Scopus)

Random parking, Euclidean functionals, and rubber elasticity

Gloria, A. & Penrose, M. D., 1 Jul 2013, In : Communications in Mathematical Physics. 321, 1, p. 1-31 31 p.

Research output: Contribution to journalArticle

2012
43 Downloads (Pure)

Percolation of even sites for random sequential adsorption

Penrose, M. D. & Rosoman, T., Apr 2012, In : Stochastic Processes and their Applications. 122, 4, p. 1866-1886 21 p.

Research output: Contribution to journalArticle

Open Access
File
Random Sequential Adsorption
Adsorption
Critical value
Strictly
2011
1 Citation (Scopus)

Asymptotic normality of the maximum likelihood estimator for cooperative sequential adsorption

Penrose, M. D. & Shcherbakov, V., Sep 2011, In : Advances in Applied Probability. 43, 3, p. 636-648 13 p.

Research output: Contribution to journalArticle

Asymptotic Normality
Adsorption
Maximum Likelihood Estimator
Maximum likelihood
Thermodynamic Limit
10 Citations (Scopus)

Laws of large numbers and nearest neighbor distances

Penrose, M. D. & Yukich, J. E., 2011, Advances in Directional and Linear Statistics: A Festschrift for Sreenivasa Rao Jammalamadaka. Wells, M. T. & SenGupta, A. (eds.). Berlin: Physica-Verlag HD , p. 189-199

Research output: Chapter in Book/Report/Conference proceedingChapter

Consistent Estimation
Sums of Powers
Law of large numbers
Nearest Neighbor
Entropy
1 Citation (Scopus)
40 Downloads (Pure)

Local central limit theorems in stochastic geometry

Penrose, M. D. & Peres, Y., 2011, In : Electronic Journal of Probability. 16, p. 2509-2544 36 p., 91.

Research output: Contribution to journalArticle

File
Stochastic Geometry
Central limit theorem
Random Geometric Graph
Random Sequential Adsorption
Number of Components
6 Citations (Scopus)

Martingale representation for Poisson processes with applications to minimal variance hedging

Last, G. & Penrose, M. D., 2011, In : Stochastic Processes and their Applications. 121, 7, p. 1588-1606 19 p.

Research output: Contribution to journalArticle

Martingale Representation
Hedging
Poisson process
Random Measure
Decomposition
49 Citations (Scopus)

Poisson process Fock space representation, chaos expansion and covariance inequalities

Last, G. & Penrose, M. D., 1 Aug 2011, In : Probability Theory and Related Fields. 150, 3-4, p. 663-690 28 p.

Research output: Contribution to journalArticle

Chaos Expansion
Fock Space
Poisson process
FKG Inequality
Measurable space
5 Citations (Scopus)

Strict inequalities of critical values in continuum percolation

Franceschetti, M., Penrose, M. D. & Rosoman, T., Feb 2011, In : Journal of Statistical Physics. 142, 3, p. 460-486 27 p.

Research output: Contribution to journalArticle

Continuum Percolation
Critical value
Strictly
continuums
Siméon Denis Poisson
2010

Discussant of response to the Computer Journal Lecture by Francois Baccelli

Penrose, M. D., Jun 2010, In : The Computer Journal. 53, 5, p. 610-611 2 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

Limit theorems for random spatial drainage networks

Penrose, M. D. & Wade, A. R., Sep 2010, In : Advances in Applied Probability. 42, 3, p. 659-688 30 p.

Research output: Contribution to journalArticle

Spatial Networks
Random Networks
Limit Theorems
Drainage
Gravitation
12 Citations (Scopus)

Normal approximation for coverage models over binomial point processes

Goldstein, L. & Penrose, M. D., Apr 2010, In : Annals of Applied Probability. 20, 2, p. 696-721 26 p.

Research output: Contribution to journalArticle

Normal Approximation
Point Process
Coverage
Stein's Method
Optimal Rate of Convergence
2009
19 Citations (Scopus)

Gaussian limits for generalized spacings

Baryshnikov, Y., Penrose, M. D. & Yukich, J. E., Feb 2009, In : Annals of Applied Probability. 19, 1, p. 158-185 28 p.

Research output: Contribution to journalArticle

Spacing
F-divergence
Log-likelihood Ratio
Information Gain
Sample point
4 Citations (Scopus)

Maximum likelihood estimation for cooperative sequential adsorption

Penrose, M. D. & Shcherbakov, V., Dec 2009, In : Advances in Applied Probability. 41, 4, p. 978-1001 24 p.

Research output: Contribution to journalArticle

Maximum likelihood estimation
Maximum Likelihood Estimation
Adsorption
Maximum likelihood
Time series
3 Citations (Scopus)

Normal approximation for isolated balls in an urn allocation model

Penrose, M. D., Oct 2009, In : Electronic Journal of Probability. 14, p. 2156-2181 27 p., 74.

Research output: Contribution to journalArticle

Normal Approximation
Ball
Kolmogorov Distance
Error Bounds
Model
2008
5 Citations (Scopus)
harmonic analysis
Ostwald ripening
homogenizing
partial differential equations
attack
19 Citations (Scopus)

Existence and spatial limit theorems for lattice and continuum particle systems

Penrose, M. D., 2008, In : Probability Surveys. 5, 1, p. 1-36 36 p.

Research output: Contribution to journalArticle

Particle System
Limit Theorems
Jump
Continuum
Spatial Point Process

Growth and roughness of the interface for ballistic deposition

Penrose, M. D., 2008, In : Journal of Statistical Physics. 131, 2, p. 247-268 22 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)

Limit theory for the random on-line nearest-neighbor graph

Penrose, M. D. & Wade, A. R., 2008, In : Random Structures and Algorithms. 32, 2, p. 125-156 32 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)

Multivariate normal approximation in geometric probability

Penrose, M. D. & Wade, A. R., Jun 2008, In : Journal of Statistical Theory and Practice. 2, 2, p. 293-326 34 p.

Research output: Contribution to journalArticle

2007
11 Citations (Scopus)

Gaussian limits for multidimensional random sequential packing at saturation

Schreiber, T., Penrose, M. D. & Yukich, J. E., 2007, In : Communications in Mathematical Physics. 272, 1, p. 167-183 17 p.

Research output: Contribution to journalArticle

37 Citations (Scopus)

Gaussian limits for random geometric measures

Penrose, M. D., 2007, In : Electronic Journal of Probability. 12, p. 989-1035 47 p.

Research output: Contribution to journalArticle

39 Citations (Scopus)

Laws of large numbers in stochastic geometry with statistical applications

Penrose, M. D., 2007, In : Bernoulli. 13, 4, p. 1124-1150 27 p.

Research output: Contribution to journalArticle

2006
20 Citations (Scopus)

On the total length of the random minimal directed spanning tree

Penrose, M. D. & Wade, A. R., 2006, In : Advances in Applied Probability. 38, 2, p. 336-372 37 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

Rooted edges of a minimal directed spanning tree on random points

Bai, Z. D., Lee, S. & Penrose, M. D., 2006, In : Advances in Applied Probability. 38, 1, p. 1-30 30 p.

Research output: Contribution to journalArticle

2005
13 Citations (Scopus)

Exact and approximate results for deposition and annihilation processes on graphs

Penrose, M. D. & Sudbury, A., 2005, In : Annals of Applied Probability. 15, 1B, p. 853-889 37 p.

Research output: Contribution to journalArticle

22 Citations (Scopus)

Multivariate spatial central limit theorems with applications to percolation and spatial graphs

Penrose, M. D., 2005, In : Annals of Probability. 33, 5, p. 1945-1991 47 p.

Research output: Contribution to journalArticle

Normal approximation in geometric probability

Penrose, M. D. & Yukich, J. E., 2005, Stein's method and applications. Singapore: Singapore Univ. Press, Vol. 5. p. 37--58 22 p. (Lect. Notes Ser. Inst. Math. Sci. Natl. Univ. Singap.).

Research output: Chapter in Book/Report/Conference proceedingChapter

2004
26 Citations (Scopus)

Random minimal directed spanning trees and Dickman-type distributions

Penrose, M. D. & Wade, A. R., 2004, In : Advances in Applied Probability. 36, 3, p. 691-714 24 p.

Research output: Contribution to journalArticle

2003

Random geometric graphs

Penrose, M., 2003, Oxford: Oxford University Press. 330 p.

Research output: Book/ReportBook

85 Citations (Scopus)

Weak laws of large numbers in geometric probability

Penrose, M. D. & Yukich, J. E., 2003, In : Annals of Applied Probability. 13, 1, p. 277--303 27 p.

Research output: Contribution to journalArticle

2002
5 Citations (Scopus)

Focusing of the scan statistic and geometric clique number

Penrose, M. D., 2002, In : Advances in Applied Probability. 34, 4, p. 739--753 15 p.

Research output: Contribution to journalArticle

11 Citations (Scopus)
61 Citations (Scopus)

Limit theory for random sequential packing and deposition

Penrose, M. D. & Yukich, J. E., 2002, In : Annals of Applied Probability. 12, 1, p. 272--301 30 p.

Research output: Contribution to journalArticle

2001
15 Citations (Scopus)

A central limit theorem with applications to percolation, epidemics and Boolean models

Penrose, M. D., 2001, In : Annals of Probability. 29, 4, p. 1515--1546 32 p.

Research output: Contribution to journalArticle

52 Citations (Scopus)

Approximating layout problems on random geometric graphs

Daz, J., Penrose, M. D., Petit, J. & Serna, M., 2001, In : Journal of Algorithms. 39, 1, p. 78--116 39 p.

Research output: Contribution to journalArticle

83 Citations (Scopus)

Central limit theorems for some graphs in computational geometry

Penrose, M. D. & Yukich, J. E., 2001, In : Annals of Applied Probability. 11, 4, p. 1005--1041 37 p.

Research output: Contribution to journalArticle