D-Index & Metrics Best Publications

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 32 Citations 5,373 111 World Ranking 2369 National Ranking 164

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Statistics
  • Quantum mechanics

Mathew D. Penrose mainly focuses on Combinatorics, Discrete mathematics, Law of large numbers, Statistical physics and Minimum spanning tree. Mathew D. Penrose combines subjects such as Poisson process and Central limit theorem with his study of Combinatorics. His research integrates issues of Measure and Bounded function in his study of Discrete mathematics.

His Law of large numbers study incorporates themes from Point process, Limit and Degree. His research in Degree intersects with topics in Probabilistic logic, Convergence of random variables and Vertex. His study in Random geometric graph is interdisciplinary in nature, drawing from both Geometric graph theory, K connectivity, Unit cube and Random regular graph.

His most cited work include:

  • Random Geometric Graphs (1774 citations)
  • The longest edge of the random minimal spanning tree (441 citations)
  • On k-connectivity for a geometric random graph (435 citations)

What are the main themes of his work throughout his whole career to date?

His scientific interests lie mostly in Combinatorics, Discrete mathematics, Poisson distribution, Central limit theorem and Mathematical analysis. The various areas that Mathew D. Penrose examines in his Combinatorics study include Bounded function and Law of large numbers. His Discrete mathematics research is multidisciplinary, relying on both Convergence of random variables, Geometric probability and Degree.

His Poisson distribution study combines topics from a wide range of disciplines, such as Space, Moment, Percolation and Pure mathematics. In his study, Statistical physics and Binomial is strongly linked to Point process, which falls under the umbrella field of Central limit theorem. The Random graph study combines topics in areas such as Random regular graph and Random geometric graph.

He most often published in these fields:

  • Combinatorics (57.82%)
  • Discrete mathematics (30.61%)
  • Poisson distribution (21.77%)

What were the highlights of his more recent work (between 2013-2021)?

  • Combinatorics (57.82%)
  • Poisson distribution (21.77%)
  • Discrete mathematics (30.61%)

In recent papers he was focusing on the following fields of study:

His primary areas of investigation include Combinatorics, Poisson distribution, Discrete mathematics, Boolean model and Mathematical analysis. Combinatorics connects with themes related to Lambda in his study. His Poisson distribution study integrates concerns from other disciplines, such as Unit square, Statistical physics and Moment.

His Discrete mathematics research integrates issues from Poisson process and Component. His Boolean model study combines topics in areas such as Critical value, Normal approximation, Bounded function and Critical exponent. His Mathematical analysis research is multidisciplinary, incorporating perspectives in Central limit theorem, Tessellation and Point process.

Between 2013 and 2021, his most popular works were:

  • Lectures on the Poisson Process (127 citations)
  • Connectivity of soft random geometric graphs (77 citations)
  • Moments and central limit theorems for some multivariate Poisson functionals (55 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Statistics
  • Quantum mechanics

His primary scientific interests are in Combinatorics, Poisson distribution, Random graph, Discrete mathematics and Boolean model. Mathew D. Penrose studies Combinatorics, focusing on Degree in particular. His study looks at the intersection of Poisson distribution and topics like Moment with Phase transition, Mathematical analysis and Central limit theorem.

His studies deal with areas such as Random regular graph, Unit square, Random points and Random geometric graph as well as Random graph. His Discrete mathematics research integrates issues from Independent and identically distributed random variables and Component. His Boolean model research incorporates themes from Triviality and Pure mathematics.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Random Geometric Graphs

Mathew Penrose.
(2003)

2821 Citations

The longest edge of the random minimal spanning tree

Mathew D. Penrose.
Annals of Applied Probability (1997)

703 Citations

The longest edge of the random minimal spanning tree

Mathew D. Penrose.
Annals of Applied Probability (1997)

703 Citations

On k-connectivity for a geometric random graph

Mathew D. Penrose.
Random Structures and Algorithms (1999)

672 Citations

On k-connectivity for a geometric random graph

Mathew D. Penrose.
Random Structures and Algorithms (1999)

672 Citations

Lectures on the Poisson Process

Mathew Penrose.
(2017)

375 Citations

Lectures on the Poisson Process

Mathew Penrose.
(2017)

375 Citations

Central limit theorems for some graphs in computational geometry

Mathew D. Penrose;J.E. Yukich.
Annals of Applied Probability (2001)

202 Citations

Central limit theorems for some graphs in computational geometry

Mathew D. Penrose;J.E. Yukich.
Annals of Applied Probability (2001)

202 Citations

Weak laws of large numbers in geometric probability

Mathew D. Penrose;J. E. Yukich.
Annals of Applied Probability (2003)

186 Citations

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