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D-Index & Metrics

Mathematics

D-Index
34
Citations
6711
World Ranking
2872
National Ranking
117

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)
Emina Soljanin
Emina Soljanin Rutgers, The State University of New Jersey
Jean Berstel
Jean Berstel Université Paris Cité
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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