Karl Petersen

1.5k total citations
44 papers, 713 citations indexed

About

Karl Petersen is a scholar working on Mathematical Physics, Computational Theory and Mathematics and Applied Mathematics. According to data from OpenAlex, Karl Petersen has authored 44 papers receiving a total of 713 indexed citations (citations by other indexed papers that have themselves been cited), including 36 papers in Mathematical Physics, 16 papers in Computational Theory and Mathematics and 10 papers in Applied Mathematics. Recurrent topics in Karl Petersen's work include Mathematical Dynamics and Fractals (30 papers), advanced mathematical theories (15 papers) and Cellular Automata and Applications (8 papers). Karl Petersen is often cited by papers focused on Mathematical Dynamics and Fractals (30 papers), advanced mathematical theories (15 papers) and Cellular Automata and Applications (8 papers). Karl Petersen collaborates with scholars based in United States, France and South Korea. Karl Petersen's co-authors include Klaus Schmidt, Ibrahim Salama, Joseph A. Cima, Leonard Shapiro, Shizuo Kakutani, James T. Campbell, Anthony Quas, Idris Assani, Terrence Adams and Alexander Varchenko and has published in prestigious journals such as SHILAP Revista de lepidopterología, Journal of Mathematical Analysis and Applications and Transactions of the American Mathematical Society.

In The Last Decade

Karl Petersen

41 papers receiving 623 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Karl Petersen United States	13	479	233	141	132	130	44	713
Michael Boshernitzan United States	16	537 1.1×	220 0.9×	227 1.6×	92 0.7×	195 1.5×	48	733
K. R. Parthasarathy India	12	161 0.3×	203 0.9×	121 0.9×	67 0.5×	49 0.4×	39	533
Arunava Mukherjea United States	13	246 0.5×	126 0.5×	171 1.2×	142 1.1×	55 0.4×	77	537
L. Bruce Richmond Canada	15	247 0.5×	185 0.8×	164 1.2×	74 0.6×	32 0.2×	55	602
Tien-Yien Li United States	8	239 0.5×	152 0.7×	87 0.6×	58 0.4×	234 1.8×	8	520
Philip Feinsilver United States	13	120 0.3×	104 0.4×	152 1.1×	143 1.1×	102 0.8×	59	465
Ehrhard Behrends Germany	12	366 0.8×	99 0.4×	119 0.8×	193 1.5×	45 0.3×	64	610
D. Newton United Kingdom	12	414 0.9×	105 0.5×	153 1.1×	77 0.6×	124 1.0×	25	540
David A. Klarner United States	15	192 0.4×	295 1.3×	154 1.1×	53 0.4×	51 0.4×	46	685
Gady Kozma Israel	12	297 0.6×	83 0.4×	85 0.6×	76 0.6×	93 0.7×	64	528

Countries citing papers authored by Karl Petersen

Since Specialization

Citations

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

Fields of papers citing papers by Karl Petersen

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Karl Petersen. 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 Karl Petersen. The network helps show where Karl Petersen may publish in the future.

Co-authorship network of co-authors of Karl Petersen

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

All Works

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20 of 20 papers shown

Petersen, Karl, et al.. (2010). Reinforced Random Walks and Adic Transformations. Journal of Theoretical Probability. 23(3). 920–943. 7 indexed citations

Petersen, Karl & Alexander Varchenko. (2010). The Euler Adic Dynamical System and Path Counts in the Euler Graph. Tokyo Journal of Mathematics. 33(2). 5 indexed citations

Petersen, Karl, et al.. (2004). Dynamical properties of the Pascal adic transformation. Ergodic Theory and Dynamical Systems. 25(1). 227–256. 33 indexed citations

Petersen, Karl, et al.. (2003). Measures of maximal relative entropy. Ergodic Theory and Dynamical Systems. 23(1). 207–223. 14 indexed citations

Petersen, Karl. (1999). Factor maps between tiling dynamical systems. Forum Mathematicum. 11(4). 8 indexed citations

Petersen, Karl & Klaus Schmidt. (1997). Symmetric Gibbs measures. Transactions of the American Mathematical Society. 349(7). 2775–2811. 33 indexed citations

Lance, Michel, et al.. (1996). Simulation numérique des écoulements à bulles dans les réacteurs gaz-liquide. SHILAP Revista de lepidopterología. 51(2). 279–289. 1 indexed citations

Petersen, Karl, et al.. (1995). Ergodic Theory and its Connections with Harmonic Analysis. Cambridge University Press eBooks. 16 indexed citations

Assani, Idris & Karl Petersen. (1992). The Helical Transform as a Connection between Ergodic Theory and Harmonic Analysis. Transactions of the American Mathematical Society. 331(1). 131–131. 3 indexed citations

10.

Assani, Idris & Karl Petersen. (1992). The helical transform as a connection between ergodic theory and harmonic analysis. Transactions of the American Mathematical Society. 331(1). 131–142. 4 indexed citations

11.

Lesigne, Emmanuel & Karl Petersen. (1990). Bounded exponential sums. Osaka Journal of Mathematics. 27(2). 277–280. 1 indexed citations

12.

Petersen, Karl. (1990). The ergodic theorem with time compression. Journal d Analyse Mathématique. 55(1). 297–297. 1 indexed citations

13.

Petersen, Karl, et al.. (1986). Random power series generated by ergodic transformations. Transactions of the American Mathematical Society. 297(2). 461–485. 1 indexed citations

14.

Petersen, Karl. (1983). Another Proof of the Existence of the Ergodic Hilbert Transform. Proceedings of the American Mathematical Society. 88(1). 39–39. 9 indexed citations

15.

Petersen, Karl. (1979). The converse of the Dominated Ergodic Theorem. Journal of Mathematical Analysis and Applications. 67(2). 431–436. 3 indexed citations

16.

Cima, Joseph A. & Karl Petersen. (1976). Some analytic functions whose boundary values have bounded mean oscillation. Mathematische Zeitschrift. 147(3). 237–247. 20 indexed citations

17.

Petersen, Karl. (1973). On a series of cosecants related to a problem in ergodic theory. Compositio Mathematica. 26(3). 313–317. 26 indexed citations

18.

Petersen, Karl & Leonard M. Shapiro. (1973). Induced Flows. Transactions of the American Mathematical Society. 177. 375–375. 3 indexed citations

19.

Petersen, Karl & Leonard Shapiro. (1973). Induced flows. Transactions of the American Mathematical Society. 177(0). 375–390. 17 indexed citations

20.

Petersen, Karl. (1971). Extension of minimal transformation groups. Theory of Computing Systems. 5(4). 365–375. 2 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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