World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
34
Citations
5839
World Ranking
2891
National Ranking
1174

Richard Arratia publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Richard Arratia sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 90 publications — 6th percentile

6% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Richard Arratia D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Richard Arratia sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 34 D-Index — 21st percentile

21% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Overview

Richard Arratia is affiliated with the University of Southern California in the United States. Their research spans several interconnected areas within mathematics and computer science, with a focus on advanced combinatorial mathematics and related subfields.

The main fields of study for their work include:

  • Mathematics
  • Computer Science

Within these disciplines, their research delves into specific subfields such as:

  • Discrete Mathematics and Combinatorics
  • Artificial Intelligence
  • Statistics and Probability

Richard Arratia's work covers a number of specialized topics, including:

  • Advanced Combinatorial Mathematics
  • Algorithms and Data Compression
  • Coding theory and cryptography
  • Random Matrices and Applications
  • Limits and Structures in Graph Theory

They have contributed to scholarly literature with publications in respected venues. Frequent publication outlets include:

  • Combinatorics Probability Computing
  • Random Structures and Algorithms

Recent papers authored by Richard Arratia cover aspects of combinatorial and probabilistic structures:

  • Random feedback shift registers and the limit distribution for largest cycle lengths, 2023, Combinatorics Probability Computing
  • On the largest part size of low-rank combinatorial assemblies, 2022, Random Structures and Algorithms

Collaborations with other researchers form part of their academic activities. Frequent co-authors include:

  • E. Rodney Canfield
  • Alfred W. Hales
  • Stephen DeSalvo

Best Publications

  • Two Moments Suffice for Poisson Approximations: The Chen-Stein Method

    R. Arratia;L. Goldstein;L. Gordon

  • Logarithmic Combinatorial Structures: A Probabilistic Approach

    Richard Arratia;A. D. Barbour;Simon Tavaré

  • Poisson Approximation and the Chen-Stein Method

    Richard Arratia;Larry Goldstein;Louis Gordon

  • The Motion of a Tagged Particle in the Simple Symmetric Exclusion System on $Z$

    Richard Arratia

  • Pattern recognition in several sequences: Consensus and alignment

    M. S. Waterman;R. Arratia;D. J. Galas

  • Tutorial on large deviations for the binomial distribution

    R. Arratia;L. Gordon

  • The Erdos-Renyi Law in Distribution, for Coin Tossing and Sequence Matching

    R. Arratia;L. Gordon;M. S. Waterman

  • A Phase Transition for the Score in Matching Random Sequences Allowing Deletions

    Richard Arratia;Michael S. Waterman

  • Poisson Process Approximations for the Ewens Sampling Formula

    Richard Arratia;A. D. Barbour;Simon Tavare

  • An Extreme Value Theory for Sequence Matching

    Richard Arratia;Louis Gordon;Michael Waterman

  • The Cycle Structure of Random Permutations

    Richard Arratia;Simon Tavare

  • On the Stanley-Wilf conjecture for the number of permutations avoiding a given pattern

    Richard Arratia

  • Independent process approximations for random combinatorial structures

    R. Arratia;S. Tavare

  • Genomic mapping by anchoring random clones: a mathematical analysis.

    Richard Arratia;Eric S. Lander;Simon Tavaré;Michael S. Waterman

  • THE ERDOS-RENYI STRONG LAW FOR PATTERN MATCHING WITH A GIVEN PROPORTION OF MISMATCHES

    R. Arratia;M. S. Waterman

  • The interlace polynomial of a graph

    Richard Arratia;Béla Bollobás;Gregory B. Sorkin

  • Limiting Point Processes for Rescalings of Coalescing and Annihilating Random Walks on $Z^d$

    Richard Arratia

  • The interlace polynomial: a new graph polynomial

    Richard Arratia;Béla Bollobás;Gregory B. Sorkin

  • Phase transitions in sequence matches and nucleic acid structure

    Michael S. Waterman;Louis Gordon;Richard Arratia

  • Limit Theorems for Combinatorial Structures via Discrete Process Approximations

    Richard Arratia;Simon Tavaré

  • Poisson Approximation and the Chen-Stein ethod

    Richard Arratia;Larry Goldstein;Louis Gordon

Frequent Co-Authors

Simon Tavaré
Simon Tavaré Columbia University
Michael S. Waterman
Michael S. Waterman University of Southern California
Béla Bollobás
Béla Bollobás University of Memphis
Gregory B. Sorkin
Gregory B. Sorkin London School of Economics and Political Science
Thomas M. Liggett
Thomas M. Liggett University of California, Los Angeles
Gesine Reinert
Gesine Reinert University of Oxford
Eric S. Lander
Eric S. Lander Broad Institute
Don Coppersmith
Don Coppersmith IBM (United States)

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