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Research Output 2001 2018

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Article
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
13 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
2017
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
45 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
44 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
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
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

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
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

9 Citations (Scopus)

Limit theorems for monolayer ballistic deposition in the continuum

Penrose, M. D., 2001, In : Journal of Statistical Physics. 105, 3-4, p. 561-583 23 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

Mathematics of random growing interfaces

Penrose, M. D. & Yukich, J. E., 2001, In : Journal of Physics A: Mathematical and General. 34, 32, p. 6239 1 p.

Research output: Contribution to journalArticle

44 Citations (Scopus)

Random parking, sequential adsorption, and the jamming limit

Penrose, M. D., 2001, In : Communications in Mathematical Physics. 218, 1, p. 153--176 24 p.

Research output: Contribution to journalArticle