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 59 Citations 20,690 253 World Ranking 405 National Ranking 223

Research.com Recognitions

Awards & Achievements

2013 - Fellow of the American Mathematical Society

2008 - Fellow of the American Association for the Advancement of Science (AAAS)

2008 - Wald Memorial Lecturer

2007 - Member of the National Academy of Sciences

2002 - Fellow of the American Academy of Arts and Sciences

1988 - Fellow of John Simon Guggenheim Memorial Foundation

1981 - Fellow of Alfred P. Sloan Foundation

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Statistics
  • Gene

His primary areas of investigation include Statistical physics, Combinatorics, Genetics, Discrete mathematics and Mathematical analysis. The study incorporates disciplines such as Random walk, Percolation and Stationary distribution in addition to Statistical physics. His work on Random graph and Duality as part of general Combinatorics research is often related to Sigma, Finite system and Lambda, thus linking different fields of science.

His Discrete mathematics research is multidisciplinary, relying on both Stochastic process, Probability theory and Random variable, Independent and identically distributed random variables. His Stochastic process study incorporates themes from Probability and statistics, Probability distribution, Convolution of probability distributions and Regular conditional probability. The concepts of his Mathematical analysis study are interwoven with issues in Central limit theorem and Weak convergence.

His most cited work include:

  • Probability: Theory and Examples (3424 citations)
  • The Importance of Being Discrete (and Spatial) (919 citations)
  • Random graph dynamics (773 citations)

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

His primary areas of investigation include Combinatorics, Statistical physics, Discrete mathematics, Random walk and Voter model. His Combinatorics research is multidisciplinary, incorporating perspectives in Phase transition and State. His study in Statistical physics is interdisciplinary in nature, drawing from both Statistics, Markov chain, Stationary distribution and Percolation.

The Percolation study combines topics in areas such as Directed percolation and Percolation critical exponents. His Random walk course of study focuses on Brownian motion and Mathematical analysis. Rick Durrett performs integrative study on Contact process and Critical value in his works.

He most often published in these fields:

  • Combinatorics (30.06%)
  • Statistical physics (22.09%)
  • Discrete mathematics (15.34%)

What were the highlights of his more recent work (between 2016-2021)?

  • Combinatorics (30.06%)
  • Lambda (5.21%)
  • Phase transition (8.28%)

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

Rick Durrett mostly deals with Combinatorics, Lambda, Phase transition, Statistical physics and Critical value. His work on Tree, Random graph and Degree is typically connected to Order as part of general Combinatorics study, connecting several disciplines of science. His Phase transition study integrates concerns from other disciplines, such as Mathematical analysis and Percolation.

His research in Statistical physics intersects with topics in Contrast, Boundary, Random walk and Markov process. His Critical value research includes themes of Upper and lower bounds, Ladder graph, Limit and Tree. His biological study spans a wide range of topics, including Space and Discrete mathematics.

Between 2016 and 2021, his most popular works were:

  • Persistence and reversal of plasmid-mediated antibiotic resistance (106 citations)
  • Temporal profiles of avalanches on networks. (27 citations)
  • Role of stem-cell divisions in cancer risk (27 citations)

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

  • Mathematical analysis
  • Statistics
  • Gene

Rick Durrett focuses on Combinatorics, Lambda, Exponential function, Random graph and Binary logarithm. Rick Durrett has included themes like Poisson distribution and Square lattice in his Combinatorics study. He has researched Exponential function in several fields, including Boundary and Competition.

His Random graph research includes elements of Epidemic model, Star, Connection and Continuous transition. His work carried out in the field of Binary logarithm brings together such families of science as Voter model, State, Tree and Degree. As a member of one scientific family, Rick Durrett mostly works in the field of Critical value, focusing on Tree and, on occasion, Phase transition and Percolation.

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

Probability: Theory and Examples

Rick Durrett.
(1990)

4437 Citations

The Importance of Being Discrete (and Spatial)

R. Durrett;S. Levin.
Theoretical Population Biology (1994)

1268 Citations

Random graph dynamics

Richard Durrett.
(2007)

1253 Citations

Stochastic Calculus: A Practical Introduction

Richard Durrett.
(1996)

700 Citations

Brownian motion and martingales in analysis

Richard Durrett.
(1984)

645 Citations

Stochastic Spatial Models: A User's Guide to Ecological Applications

Richard Durrett;Simon A. Levin.
Philosophical Transactions of the Royal Society B (1994)

632 Citations

Probability Models for DNA Sequence Evolution

Richard Durrett.
(2008)

630 Citations

Essentials of Stochastic Processes

Richard Durrett.
(1999)

606 Citations

Equilibrium distributions of microsatellite repeat length resulting from a balance between slippage events and point mutations

Semyon Kruglyak;Richard T. Durrett;Malcolm D. Schug;Charles F. Aquadro.
Proceedings of the National Academy of Sciences of the United States of America (1998)

580 Citations

Oriented Percolation in Two Dimensions

Richard Durrett.
Annals of Probability (1984)

460 Citations

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