D-Index & Metrics Best Publications

D-Index & Metrics

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 56 Citations 18,032 146 World Ranking 358 National Ranking 193

Research.com Recognitions

Awards & Achievements

2013 - Fellow of the American Mathematical Society

2010 - Member of the National Academy of Sciences

2004 - Fellow of the American Academy of Arts and Sciences

1994 - Fellow of the Royal Society, United Kingdom

1993 - Wald Memorial Lecturer

Overview

What is he best known for?

The fields of study he is best known for:

  • Statistics
  • Combinatorics
  • Probability theory

David Aldous focuses on Combinatorics, Discrete mathematics, Random graph, Markov chain and Random walk. His Combinatorics study combines topics in areas such as Longest increasing subsequence and Brownian motion. His studies in Discrete mathematics integrate themes in fields like Random matrix and Random variable.

His work on Loop-erased random walk as part of general Random graph study is frequently connected to Context, therefore bridging the gap between diverse disciplines of science and establishing a new relationship between them. He has researched Markov chain in several fields, including Statistical physics, Scatter plot and Exponential function. His work is dedicated to discovering how Random walk, Markov chain mixing time are connected with Markov renewal process and other disciplines.

His most cited work include:

  • Exchangeability and related topics (1146 citations)
  • The Continuum Random Tree III (808 citations)
  • Deterministic and stochastic models for coalescence (aggregation and coagulation): a review of the mean-field theory for probabilists (557 citations)

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

The scientist’s investigation covers issues in Combinatorics, Discrete mathematics, Markov chain, Random graph and Random walk. His Combinatorics study incorporates themes from Upper and lower bounds, Random variable, Poisson distribution, Exponential function and Plane. David Aldous studied Discrete mathematics and Scaling that intersect with Mean field theory.

In his research on the topic of Markov chain, Stochastic modelling and Brownian motion is strongly related with Statistical physics. His Random graph research focuses on Random element and how it relates to Multivariate random variable. His Random walk research is multidisciplinary, relying on both Trace, Unimodular matrix and Weak convergence.

He most often published in these fields:

  • Combinatorics (47.51%)
  • Discrete mathematics (33.48%)
  • Markov chain (18.10%)

What were the highlights of his more recent work (between 2011-2021)?

  • Combinatorics (47.51%)
  • Discrete mathematics (33.48%)
  • Mathematical economics (4.52%)

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

His main research concerns Combinatorics, Discrete mathematics, Mathematical economics, Markov chain and Random graph. Particularly relevant to First passage percolation is his body of work in Combinatorics. His work carried out in the field of Discrete mathematics brings together such families of science as Poisson distribution, Random walk, Percolation and Scaling.

His Random walk research is multidisciplinary, incorporating elements of Markov renewal process, Minor, Examples of Markov chains, Pure mathematics and Markov chain mixing time. David Aldous interconnects Stochastic process, Mixing, Monotonic function and Brownian motion in the investigation of issues within Markov chain. His Random graph research incorporates themes from Entropy and Random regular graph.

Between 2011 and 2021, his most popular works were:

  • Reversible Markov Chains and Random Walks on Graphs (529 citations)
  • Interacting particle systems as stochastic social dynamics (42 citations)
  • A lecture on the averaging process (20 citations)

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

  • Statistics
  • Probability theory
  • Combinatorics

His primary areas of investigation include Discrete mathematics, Combinatorics, Scaling, Interacting particle system and Mathematical economics. His research integrates issues of Markov renewal process, Examples of Markov chains, Axiom, Markov chain mixing time and Random walk in his study of Discrete mathematics. The concepts of his Combinatorics study are interwoven with issues in M/G/1 queue, Heavy traffic approximation and Scaling limit.

His Scaling research integrates issues from Poisson distribution, Invariant, Scale invariance, Euclidean geometry and Mathematical model. His study on Interacting particle system also encompasses disciplines like

  • Voter model that intertwine with fields like Rate of convergence, Calculus and Spectral gap,
  • Social dynamics and related Martingale, Dense graph and Finite set,
  • Poisson process, Econometrics and Markov chain most often made with reference to Pairwise comparison. His Mathematical economics research incorporates elements of First passage percolation and Gossip.

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

Exchangeability and related topics

David J. Aldous.
Lecture Notes in Mathematics (1985)

2016 Citations

Reversible Markov Chains and Random Walks on Graphs

David Aldous;James Allen Fill.
(2014)

1237 Citations

The Continuum Random Tree III

David Aldous.
Annals of Probability (1991)

808 Citations

Deterministic and stochastic models for coalescence (aggregation and coagulation): a review of the mean-field theory for probabilists

David J. Aldous.
Bernoulli (1999)

770 Citations

Probability Approximations via the Poisson Clumping Heuristic

David Aldous.
(1988)

690 Citations

Random walks on finite groups and rapidly mixing markov chains

David J. Aldous.
Lecture Notes in Mathematics (1983)

643 Citations

SHUFFLING CARDS AND STOPPING-TIMES

David Aldous;Persi Diaconis.
American Mathematical Monthly (1986)

598 Citations

Lower bounds for covering times for reversible Markov chains and random walks on graphs

David J. Aldous.
Journal of Theoretical Probability (1989)

537 Citations

Stopping Times and Tightness. II

David Aldous.
Annals of Probability (1978)

519 Citations

Representations for partially exchangeable arrays of random variables

David J. Aldous.
Journal of Multivariate Analysis (1981)

478 Citations

Best Scientists Citing David Aldous

Svante Janson

Svante Janson

Uppsala University

Publications: 87

Jim Pitman

Jim Pitman

University of California, Berkeley

Publications: 67

Remco van der Hofstad

Remco van der Hofstad

Eindhoven University of Technology

Publications: 64

Persi Diaconis

Persi Diaconis

Stanford University

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Mike Steel

Mike Steel

University of Canterbury

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Jean Bertoin

Jean Bertoin

University of Zurich

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Jean-François Le Gall

Jean-François Le Gall

University of Paris-Sud

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Wojciech Szpankowski

Wojciech Szpankowski

Purdue University West Lafayette

Publications: 35

Tanja Stadler

Tanja Stadler

Swiss Institute of Bioinformatics

Publications: 34

David Gamarnik

David Gamarnik

MIT

Publications: 34

Luc Devroye

Luc Devroye

McGill University

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Alan Frieze

Alan Frieze

Carnegie Mellon University

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Allan Sly

Allan Sly

Princeton University

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Martin Dyer

Martin Dyer

University of Sheffield

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Itai Benjamini

Itai Benjamini

Weizmann Institute of Science

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Mark Jerrum

Mark Jerrum

Queen Mary University of London

Publications: 26

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking d-index is inferred from publications deemed to belong to the considered discipline.

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