Anthony Manning

1.8k total citations
25 papers, 978 citations indexed

About

Anthony Manning is a scholar working on Mathematical Physics, Geometry and Topology and Applied Mathematics. According to data from OpenAlex, Anthony Manning has authored 25 papers receiving a total of 978 indexed citations (citations by other indexed papers that have themselves been cited), including 19 papers in Mathematical Physics, 9 papers in Geometry and Topology and 6 papers in Applied Mathematics. Recurrent topics in Anthony Manning's work include Mathematical Dynamics and Fractals (19 papers), Geometric and Algebraic Topology (5 papers) and Geometric Analysis and Curvature Flows (4 papers). Anthony Manning is often cited by papers focused on Mathematical Dynamics and Fractals (19 papers), Geometric and Algebraic Topology (5 papers) and Geometric Analysis and Curvature Flows (4 papers). Anthony Manning collaborates with scholars based in United Kingdom, United States and Hungary. Anthony Manning's co-authors include Károly Simon, Jinqiao Duan, Xinchu Fu, Stephen P. Humphries, Klaus Schmidt and David James and has published in prestigious journals such as Annals of Mathematics, Transactions of the American Mathematical Society and Journal of Statistical Physics.

In The Last Decade

Anthony Manning

25 papers receiving 835 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Anthony Manning United Kingdom 10 740 402 387 203 114 25 978
Michael Brin United States 15 774 1.0× 426 1.1× 533 1.4× 279 1.4× 134 1.2× 27 1.1k
D. V. Anosov Russia 13 644 0.9× 391 1.0× 436 1.1× 219 1.1× 98 0.9× 42 944
Franz Hofbauer Austria 18 799 1.1× 415 1.0× 221 0.6× 58 0.3× 127 1.1× 49 1.0k
John Banks Australia 6 701 0.9× 480 1.2× 337 0.9× 125 0.6× 177 1.6× 10 957
Zbigniew Nitecki United States 15 689 0.9× 441 1.1× 375 1.0× 107 0.5× 120 1.1× 44 999
Mikhail Lyubich United States 22 1.4k 1.8× 703 1.7× 866 2.2× 409 2.0× 135 1.2× 67 1.5k
Caroline Series United Kingdom 18 869 1.2× 235 0.6× 701 1.8× 219 1.1× 206 1.8× 48 1.2k
P. J. Stacey Australia 7 647 0.9× 430 1.1× 266 0.7× 150 0.7× 152 1.3× 24 909
Wen Huang China 26 1.5k 2.0× 632 1.6× 704 1.8× 202 1.0× 447 3.9× 83 1.8k
Feliks Przytycki Poland 24 1.4k 1.9× 680 1.7× 674 1.7× 364 1.8× 104 0.9× 58 1.5k

Countries citing papers authored by Anthony Manning

Since Specialization
Citations

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

Fields of papers citing papers by Anthony Manning

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Anthony Manning

This figure shows the co-authorship network connecting the top 25 collaborators of Anthony Manning. A scholar is included among the top collaborators of Anthony Manning 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 Anthony Manning. Anthony Manning 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.
Manning, Anthony & Károly Simon. (2012). Dimension of slices through the Sierpinski carpet. Transactions of the American Mathematical Society. 365(1). 213–250. 24 indexed citations
2.
Manning, Anthony. (2010). The limit of a pedal sequence of triangles. Bulletin of the London Mathematical Society. 42(4). 673–679. 1 indexed citations
3.
Humphries, Stephen P. & Anthony Manning. (2007). Curves of fixed points of trace maps. Ergodic Theory and Dynamical Systems. 27(4). 1167–1198. 3 indexed citations
4.
Manning, Anthony. (2004). The volume entropy of a surface decreases along the Ricci flow. Ergodic Theory and Dynamical Systems. 24(1). 171–176. 5 indexed citations
5.
Manning, Anthony. (2004). Relating exponential growth in a manifold and its fundamental group. Proceedings of the American Mathematical Society. 133(4). 995–997. 6 indexed citations
6.
Manning, Anthony, et al.. (2000). Landing Period Designator Visual Helicopter Recovery Aide; Theory and Real-Time Application. 3 indexed citations
7.
Duan, Jinqiao, et al.. (1999). A linear chaotic quantum harmonic oscillator. Applied Mathematics Letters. 12(1). 15–19. 20 indexed citations
8.
Manning, Anthony & Károly Simon. (1998). A Short Existence Proof for Correlation Dimension. Journal of Statistical Physics. 90(3-4). 1047–1049. 4 indexed citations
9.
Manning, Anthony. (1996). Logarithmic Capacity and Renormalizability for Landing on the Mandelbrot Set. Bulletin of the London Mathematical Society. 28(5). 521–526. 8 indexed citations
10.
Manning, Anthony. (1995). Irrationality of linear combinations of eigenvectors. Proceedings of the Indian Academy of Sciences - Section A. 105(3). 269–271. 2 indexed citations
11.
Manning, Anthony. (1992). How to be sure of finding a root of a complex polynomial using Newton's method. Bulletin of the Brazilian Mathematical Society New Series. 22(2). 157–177. 8 indexed citations
12.
Manning, Anthony. (1988). AN INTRODUCTION TO CHAOTIC DYNAMICAL SYSTEMS. Bulletin of the London Mathematical Society. 20(4). 376–377. 217 indexed citations
13.
Manning, Anthony. (1984). The Dimension of the Maximal Measure for a Polynomial Map. Annals of Mathematics. 119(2). 425–425. 55 indexed citations
14.
Manning, Anthony, et al.. (1983). Hausdorff dimension for horseshoes. Ergodic Theory and Dynamical Systems. 3(2). 251–260. 134 indexed citations
15.
Manning, Anthony. (1981). Curvature Bounds for the Entropy of the Geodesic Flow on a Surface. Journal of the London Mathematical Society. s2-24(2). 351–357. 14 indexed citations
16.
Manning, Anthony. (1979). Topological Entropy for Geodesic Flows. Annals of Mathematics. 110(3). 567–567. 169 indexed citations
17.
Manning, Anthony. (1974). There are No New Anosov Diffeomorphisms on Tori. American Journal of Mathematics. 96(3). 422–422. 135 indexed citations
18.
Manning, Anthony. (1973). Anosov Diffeomorphisms on Nilmanifolds. Proceedings of the American Mathematical Society. 38(2). 423–423. 4 indexed citations
19.
Manning, Anthony. (1973). Anosov diffeomorphisms on nilmanifolds. Proceedings of the American Mathematical Society. 38(2). 423–426. 9 indexed citations
20.
Manning, Anthony. (1971). Axiom A Diffeomorphisms have Rational Zeta Functions. Bulletin of the London Mathematical Society. 3(2). 215–220. 88 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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