Brian Marcus

6.2k total citations · 2 hit papers
95 papers, 3.3k citations indexed

About

Brian Marcus is a scholar working on Computational Theory and Mathematics, Mathematical Physics and Artificial Intelligence. According to data from OpenAlex, Brian Marcus has authored 95 papers receiving a total of 3.3k indexed citations (citations by other indexed papers that have themselves been cited), including 63 papers in Computational Theory and Mathematics, 34 papers in Mathematical Physics and 34 papers in Artificial Intelligence. Recurrent topics in Brian Marcus's work include Cellular Automata and Applications (57 papers), Mathematical Dynamics and Fractals (33 papers) and Algorithms and Data Compression (28 papers). Brian Marcus is often cited by papers focused on Cellular Automata and Applications (57 papers), Mathematical Dynamics and Fractals (33 papers) and Algorithms and Data Compression (28 papers). Brian Marcus collaborates with scholars based in United States, Canada and Hong Kong. Brian Marcus's co-authors include Douglas Lind, Paul H. Siegel, Roy L. Adler, Geoffrey W. Burr, H. Coufal, John A. Hoffnagle, C. Michael Jefferson, Guangyue Han, Jonathan Ashley and J.K. Wolf and has published in prestigious journals such as IEEE Transactions on Information Theory, Optics Letters and IEEE Journal on Selected Areas in Communications.

In The Last Decade

Brian Marcus

88 papers receiving 2.9k citations

Hit Papers

An Introduction to Symbolic Dynamics and Coding 1995 2026 2005 2015 1995 2000 250 500 750 1000
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. An Introduction to Symbolic Dynamics and Coding
    1995 1.1k citations Brian Marcus et al. profile →
  2. Holographic data storage technology
    2000 526 citations Brian Marcus et al. profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Brian Marcus United States 24 1.6k 1.2k 757 733 569 95 3.3k
Tomasz Łuczak Poland 33 2.6k 1.6× 1.3k 1.0× 441 0.6× 880 1.2× 366 0.6× 158 5.1k
Brendan D. McKay Australia 32 1.9k 1.1× 379 0.3× 956 1.3× 809 1.1× 100 0.2× 161 4.1k
Chris Godsil Canada 30 1.9k 1.2× 209 0.2× 1.1k 1.4× 1.3k 1.7× 260 0.5× 108 5.8k
Bojan Mohar Slovenia 32 3.5k 2.2× 427 0.3× 674 0.9× 329 0.4× 68 0.1× 259 5.5k
Joel Friedman United States 24 749 0.5× 278 0.2× 737 1.0× 270 0.4× 56 0.1× 78 2.5k
M. Romera Spain 21 350 0.2× 463 0.4× 407 0.5× 465 0.6× 349 0.6× 84 2.0k
Peter J‎. Cameron United Kingdom 38 1.8k 1.1× 428 0.3× 2.6k 3.4× 2.1k 2.9× 76 0.1× 328 6.1k
Richard K. Guy Canada 16 931 0.6× 371 0.3× 307 0.4× 767 1.0× 48 0.1× 138 3.0k
Prasad Tetali United States 25 733 0.5× 556 0.4× 226 0.3× 384 0.5× 38 0.1× 104 2.3k
W. T. Tutte Canada 34 3.8k 2.3× 814 0.7× 1.2k 1.6× 440 0.6× 38 0.1× 98 6.4k

Countries citing papers authored by Brian Marcus

Since Specialization
Citations

This map shows the geographic impact of Brian Marcus's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Brian Marcus with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Brian Marcus more than expected).

Fields of papers citing papers by Brian Marcus

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Brian Marcus. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Brian Marcus. The network helps show where Brian Marcus may publish in the future.

Co-authorship network of co-authors of Brian Marcus

This figure shows the co-authorship network connecting the top 25 collaborators of Brian Marcus. A scholar is included among the top collaborators of Brian Marcus based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Brian Marcus. Brian Marcus is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Han, Guangyue, et al.. (2023). Markov capacity for factor codes with an unambiguous symbol. Ergodic Theory and Dynamical Systems. 44(8). 2199–2228.
2.
Han, Guangyue, et al.. (2021). A Deterministic Algorithm for the Capacity of Finite-State Channels. IEEE Transactions on Information Theory. 68(3). 1465–1479.
3.
Han, Guangyue & Brian Marcus. (2010). Asymptotics of Entropy Rate in Special Families of Hidden Markov Chains. IEEE Transactions on Information Theory. 56(3). 1287–1295. 13 indexed citations
4.
Han, Guangyue & Brian Marcus. (2009). Asymptotics of input-constrained binary symmetric channel capacity. The Annals of Applied Probability. 19(3). 17 indexed citations
5.
Han, Guangyue & Brian Marcus. (2007). Asymptotics of Noisy Constrained Channel Capacity. The HKU Scholars Hub (University of Hong Kong). 4. 991–995. 3 indexed citations
6.
Wilson, Bruce, R. M. H. New, J. Campello, & Brian Marcus. (2003). Joint estimation of data and timing in the presence of inter-symbol interference. IEEE Transactions on Magnetics. 39(5). 2582–2584. 1 indexed citations
7.
Marcus, Brian, et al.. (2003). Block-type-decodable encoders for constrained systems. 1 indexed citations
8.
Modha, Dharmendra S. & Brian Marcus. (2001). Art of constructing low-complexity encoders/decoders for constrained block codes. IEEE Journal on Selected Areas in Communications. 19(4). 589–601. 3 indexed citations
9.
Feigenbaum, Joan, G. David Forney, Brian Marcus, Robert J. McEliece, & Alexander Vardy. (1996). Introduction to the special issue on codes and complexity.. IEEE Transactions on Information Theory. 42. 1649–1659. 8 indexed citations
10.
Marcus, Brian, et al.. (1995). Homogeneous shifts. 1 indexed citations
11.
Ashley, Jonathan & Brian Marcus. (1995). Canonical Encoders for Sliding Block Decoders. SIAM Journal on Discrete Mathematics. 8(4). 555–605. 17 indexed citations
12.
Marcus, Brian & Selim Tuncel. (1993). Matrices of polynomials, positivity, and finite equivalence of Markov chains. Journal of the American Mathematical Society. 6(1). 131–147. 10 indexed citations
13.
Krieger, Wolfgang, Brian Marcus, & Selim Tuncel. (1992). On automorphisms of Markov chains. Transactions of the American Mathematical Society. 333(2). 531–565.
14.
Karabed, R. & Brian Marcus. (1988). Sliding-block coding for input-restricted channels. IEEE Transactions on Information Theory. 34(1). 2–26. 39 indexed citations
15.
Adler, Roy L., Joel Friedman, Bruce Kitchens, & Brian Marcus. (1986). State splitting for variable-length graphs (Corresp.). IEEE Transactions on Information Theory. 32(1). 108–113. 24 indexed citations
16.
Boyle, Mike, Bruce Kitchens, & Brian Marcus. (1985). A note on minimal covers for sofic systems. Proceedings of the American Mathematical Society. 95(3). 403–411. 61 indexed citations
17.
Adler, Roy L., Bruce Kitchens, & Brian Marcus. (1985). Finite group actions on shifts of finite type. Ergodic Theory and Dynamical Systems. 5(1). 1–25. 8 indexed citations
18.
Marcus, Brian, et al.. (1978). Topological Mixing of Higher Degrees. Proceedings of the American Mathematical Society. 72(3). 561–561. 1 indexed citations
19.
Marcus, Brian, et al.. (1978). Topological mixing of higher degrees. Proceedings of the American Mathematical Society. 72(3). 561–565. 3 indexed citations
20.
Marcus, Brian. (1975). Unique ergodicity of the horocycle flow: Variable negative curvature case. Israel Journal of Mathematics. 21(2-3). 133–144. 39 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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