Michael E. Paul

579 total citations
14 papers, 290 citations indexed

About

Michael E. Paul is a scholar working on Mathematical Physics, Computational Theory and Mathematics and Geometry and Topology. According to data from OpenAlex, Michael E. Paul has authored 14 papers receiving a total of 290 indexed citations (citations by other indexed papers that have themselves been cited), including 10 papers in Mathematical Physics, 9 papers in Computational Theory and Mathematics and 5 papers in Geometry and Topology. Recurrent topics in Michael E. Paul's work include Mathematical Dynamics and Fractals (9 papers), Cellular Automata and Applications (8 papers) and Advanced Topology and Set Theory (3 papers). Michael E. Paul is often cited by papers focused on Mathematical Dynamics and Fractals (9 papers), Cellular Automata and Applications (8 papers) and Advanced Topology and Set Theory (3 papers). Michael E. Paul collaborates with scholars based in United States, Germany and India. Michael E. Paul's co-authors include Ethan M. Coven, Nelson G. Markley, Andreas Höfer and Richard H. W. Funk and has published in prestigious journals such as Transactions of the American Mathematical Society, Linear Algebra and its Applications and Microvascular Research.

In The Last Decade

Michael E. Paul

13 papers receiving 258 citations

Peers

Michael E. Paul
Jens Frankē Germany
N. F. G. Martin United States
José A. Perea United States
Vidit Nanda United Kingdom
Paul Bendich United States
Jens Frankē Germany
Michael E. Paul
Citations per year, relative to Michael E. Paul Michael E. Paul (= 1×) peers Jens Frankē

Countries citing papers authored by Michael E. Paul

Since Specialization
Citations

This map shows the geographic impact of Michael E. Paul'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 Michael E. Paul with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Michael E. Paul more than expected).

Fields of papers citing papers by Michael E. Paul

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Michael E. Paul. 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 Michael E. Paul. The network helps show where Michael E. Paul may publish in the future.

Co-authorship network of co-authors of Michael E. Paul

This figure shows the co-authorship network connecting the top 25 collaborators of Michael E. Paul. A scholar is included among the top collaborators of Michael E. Paul 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 Michael E. Paul. Michael E. Paul is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

14 of 14 papers shown
1.
Paul, Michael E., et al.. (2022). Strong $I^K$-Convergence in Probabilistic Metric Spaces. 17(2). 273–288.
2.
Höfer, Andreas, et al.. (1998). In SituObservation of Living Pericytes in Rat Retinal Capillaries. Microvascular Research. 56(1). 22–29. 84 indexed citations
3.
Paul, Michael E.. (1997). Decomposition of Completely Positive Maps. Mathematische Nachrichten. 185(1). 227–237. 3 indexed citations
4.
Markley, Nelson G. & Michael E. Paul. (1982). Equilibrium states of grid functions. Transactions of the American Mathematical Society. 274(1). 169–169. 4 indexed citations
5.
Markley, Nelson G. & Michael E. Paul. (1982). Equilibrium States of Grid Functions. Transactions of the American Mathematical Society. 274(1). 169–169. 2 indexed citations
6.
Markley, Nelson G. & Michael E. Paul. (1981). Matrix Subshifts for Z v Symbolic Dynamics. Proceedings of the London Mathematical Society. s3-43(2). 251–272. 15 indexed citations
7.
Paul, Michael E., et al.. (1979). On a theorem of de Bruijn and Erdös. Linear Algebra and its Applications. 23. 157–165. 2 indexed citations
8.
Markley, Nelson G. & Michael E. Paul. (1979). Almost automorphic symbolic minimal sets without unique ergodicity. Israel Journal of Mathematics. 34(3). 259–272. 23 indexed citations
9.
Paul, Michael E., et al.. (1978). Non-singular 0-1 matrices with constant row and column sums. Linear Algebra and its Applications. 22. 263–266. 8 indexed citations
10.
Paul, Michael E., et al.. (1977). Finite procedures for sofic systems. Monatshefte für Mathematik. 83(4). 265–278. 15 indexed citations
11.
Paul, Michael E.. (1976). Construction of almost automorphic symbolic minimal flows. General Topology and its Applications. 6(1). 45–56. 12 indexed citations
12.
Coven, Ethan M. & Michael E. Paul. (1975). Sofic systems. Israel Journal of Mathematics. 20(2). 165–177. 39 indexed citations
13.
Paul, Michael E.. (1974). Minimal symbolic flows having minimal block growth. Theory of Computing Systems. 8(4). 309–315. 19 indexed citations
14.
Coven, Ethan M. & Michael E. Paul. (1974). Endomorphisms of irreducible subshifts of finite type. Theory of Computing Systems. 8(2). 167–175. 64 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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