World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
34
Citations
6711
World Ranking
2873
National Ranking
117

Brian Marcus 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 Brian Marcus 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: 144 publications — 35th percentile

35% of scientists in this discipline score the same or lower.

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

Brian Marcus 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 Brian Marcus 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

Brian Marcus is affiliated with the University of British Columbia in Canada. Their research output spans several fields with an emphasis on computational theory, mathematics, and physics.

Their main fields of study include:

  • Computer Science
  • Mathematics
  • Physics and Astronomy

Within these fields, their work extensively covers subfields such as:

  • Computational Theory and Mathematics
  • Mathematical Physics
  • Artificial Intelligence
  • Education
  • Computer Networks and Communications

Brian Marcus's research topics reflect a focus on theoretical and applied aspects related to cellular automata, automata theory, dynamics, and coding methods. Specific topics include:

  • Cellular Automata and Applications
  • Semigroups and Automata Theory
  • Mathematical Dynamics and Fractals
  • Algorithms and Data Compression
  • DNA and Biological Computing
  • Theoretical and Computational Physics
  • Error Correcting Code Techniques

Their recent publications illustrate contributions to understanding finite-state channels, factor codes, and shifts of finite type. Selected recent papers are:

  • "A Deterministic Algorithm for the Capacity of Finite-State Channels," 2021, published in IEEE Transactions on Information Theory
  • "Markov Capacity for Factor Codes with an Unambiguous Symbol," 2022, published on arXiv (Cornell University)
  • "Markov Capacity for Factor Codes with an Unambiguous Symbol," 2023, published in Ergodic Theory and Dynamical Systems
  • "Shifts of Finite Type Obtained by Forbidding a Single Pattern," 2024, published on arXiv (Cornell University)
  • "The Impact of the Pressure Groups and Political Parties on Good Governance with A View to Attainting National Integration. In Nigeria," 2021, published in IAR Journal of Humanities and Social Science

Frequent coauthors who have collaborated with Brian Marcus include:

  • Douglas Lind
  • Chengyu Wu
  • Guangyue Han
  • Nishant Chandgotia
  • J. Elizabeth Richey

The venues where Brian Marcus has published most frequently consist of:

  • arXiv (Cornell University)
  • IEEE Transactions on Information Theory
  • Ergodic Theory and Dynamical Systems
  • IAR Journal of Humanities and Social Science
  • Cambridge University Press eBooks

Best Publications

  • An Introduction to Symbolic Dynamics and Coding

    Douglas A. Lind;Brian Marcus

  • Symbolic Dynamics

    Unknown

  • Finite-state modulation codes for data storage

    B.H. Marcus;P.H. Siegel;J.K. Wolf

  • Topological entropy and equivalence of dynamical systems

    Roy L. Adler;Brian Marcus

  • Unique ergodicity for horocycle foliations

    Rufus Bowen;Brian Marcus

  • Resolving Maps and the Dimension Group for Shifts of Finite Type

    Mike Boyle;Brian Marcus;Paul Trow

  • On codes with spectral nulls at rational submultiples of the symbol frequency

    B. Marcus;P. Siegel

  • Sofic systems and encoding data

    Unknown

  • A note on minimal covers for sofic systems

    Mike Boyle;Bruce Kitchens;Brian Marcus

  • Factors and Extensions of Full Shifts.

    Brian Marcus

  • The horocycle flow is mixing of all degrees

    Brian Marcus

  • Soft output viterbi algorithm ( SOVA) with error filters

    Jorge Campello De Souza;Brian H. Marcus;Richard M. H. New;Bruce A. Wilson

  • The weight-per-symbol polytope and scaffolds of invariants associated with Markov chains

    Brian Marcus;Selim Tuncel

  • Ergodic Properties of Horocycle Flows for Surfaces of Negative Curvature

    Brian Marcus

  • Analyticity of Entropy Rate of Hidden Markov Chains

    Guangyue Han;B. Marcus

  • Sliding-block coding for input-restricted channels

    R. Karabed;B. H. Marcus

  • Sliding-block coding for input-restricted channels

    R. Karabed;B.H. Marcus

  • Bounds On The Number Of States In Encoder Graphs For Input-constrained Channels

    B.H. Marcus;R.M. Roth

  • Unique ergodicity of the horocycle flow: Variable negative curvature case

    Unknown

  • State splitting for variable-length graphs (Corresp.)

    R. Adler;J. Friedman;B. Kitchens;B. Marcus

  • Two-dimensional low-pass filtering codes

    J.J. Ashley;B.H. Marcus

  • Constrained systems with unconstrained positions

    J. Campello de Souza;B.H. Marcus;R. New;B.A. Wilson

  • Codes, systems, and graphical models

    Brian Marcus;Joachim Rosenthal

  • Variable-length state splitting with applications to average runlength-constrained (ARC) codes

    C.D. Heegard;B.H. Marcus;P.H. Siegel

  • Maximum transition run codes for generalized partial response channels

    R.D. Cideciyan;E. Eleftheriou;B.H. Marcus;D.S. Modha

Frequent Co-Authors

Ron M. Roth
Ron M. Roth Technion – Israel Institute of Technology
Paul H. Siegel
Paul H. Siegel University of California, San Diego
Geoffrey W. Burr
Geoffrey W. Burr IBM (United States)
Dharmendra S. Modha
Dharmendra S. Modha IBM (United States)
Mike Boyle
Mike Boyle University of Maryland, College Park
Emina Soljanin
Emina Soljanin Rutgers, The State University of New Jersey
Frank R. Kschischang
Frank R. Kschischang University of Toronto
Jack K. Wolf
Jack K. Wolf University of California, San Diego
Aleksandar Kavcic
Aleksandar Kavcic University of Hawaii at Manoa

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