Michael Benedicks

2.0k total citations · 1 hit paper
24 papers, 1.1k citations indexed

About

Michael Benedicks is a scholar working on Mathematical Physics, Statistical and Nonlinear Physics and Geometry and Topology. According to data from OpenAlex, Michael Benedicks has authored 24 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 16 papers in Mathematical Physics, 9 papers in Statistical and Nonlinear Physics and 4 papers in Geometry and Topology. Recurrent topics in Michael Benedicks's work include Mathematical Dynamics and Fractals (12 papers), Quantum chaos and dynamical systems (8 papers) and Stochastic processes and statistical mechanics (5 papers). Michael Benedicks is often cited by papers focused on Mathematical Dynamics and Fractals (12 papers), Quantum chaos and dynamical systems (8 papers) and Stochastic processes and statistical mechanics (5 papers). Michael Benedicks collaborates with scholars based in Sweden, United States and Switzerland. Michael Benedicks's co-authors include Lennart Carleson, Lai‐Sang Young, Lai-Sang Young, Marcelo Viana, Andre Laestadius, Michał Misiurewicz, Véronique Maume‐Deschamps, Viviane Baladi, Washek F. Pfeffer and Viviane Baladi and has published in prestigious journals such as Physical Review A, Annals of Mathematics and Journal of Mathematical Analysis and Applications.

In The Last Decade

Michael Benedicks

23 papers receiving 987 citations

Hit Papers

align trajectories

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.

The Dynamics of the Henon Map

1991 433 citations Michael Benedicks, Lennart Carleson Annals of Mathematics profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Michael Benedicks Sweden	13	795	650	245	222	185	24	1.1k
Russell Lyons United States	22	1.8k 2.2×	293 0.5×	492 2.0×	233 1.0×	59 0.3×	73	2.3k
Carlangelo Liverani Italy	22	1.6k 2.0×	1.2k 1.9×	348 1.4×	270 1.2×	192 1.0×	61	1.9k
Viviane Baladi France	18	871 1.1×	639 1.0×	215 0.9×	146 0.7×	97 0.5×	33	1.1k
Joel W. Robbin United States	16	869 1.1×	423 0.7×	684 2.8×	322 1.5×	109 0.6×	38	1.4k
P. R. Stein United States	13	290 0.4×	405 0.6×	179 0.7×	66 0.3×	205 1.1×	44	953
Wen Huang China	26	1.5k 1.8×	632 1.0×	704 2.9×	202 0.9×	159 0.9×	83	1.8k
Boris Solomyak United States	23	1.4k 1.8×	313 0.5×	354 1.4×	166 0.7×	39 0.2×	80	1.8k
Anthony Manning United Kingdom	10	740 0.9×	402 0.6×	387 1.6×	203 0.9×	69 0.4×	25	978
Alexander K. Zvonkin France	9	348 0.4×	139 0.2×	291 1.2×	140 0.6×	57 0.3×	22	1.2k
Benjamin Weiss Israel	25	1.6k 2.0×	277 0.4×	912 3.7×	150 0.7×	41 0.2×	76	2.0k

Countries citing papers authored by Michael Benedicks

Since Specialization

Citations

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

Fields of papers citing papers by Michael Benedicks

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Michael Benedicks

This figure shows the co-authorship network connecting the top 25 collaborators of Michael Benedicks. A scholar is included among the top collaborators of Michael Benedicks 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 Benedicks. Michael Benedicks 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

Benedicks, Michael, et al.. (2023). Coexistence Phenomena in the Hénon Family. Bulletin of the Brazilian Mathematical Society New Series. 54(3).

Benedicks, Michael & Lai-Sang Young. (2018). Markov Extensions and Decay of Correlations for Certain Hénon Maps. Astérisque. 4 indexed citations

Laestadius, Andre & Michael Benedicks. (2017). Unique-continuation from sets of positive measure for the magnetic Schr\"odinger equation. arXiv (Cornell University). 1 indexed citations

Laestadius, Andre & Michael Benedicks. (2015). Nonexistence of a Hohenberg-Kohn variational principle in total current-density-functional theory. Physical Review A. 91(3). 12 indexed citations

Baladi, Viviane, et al.. (2014). Whitney–Hölder continuity of the SRB measure for transversal families of smooth unimodal maps. Inventiones mathematicae. 201(3). 773–844. 21 indexed citations

Laestadius, Andre & Michael Benedicks. (2014). Hohenberg–Kohn theorems in the presence of magnetic field. International Journal of Quantum Chemistry. 114(12). 782–795. 17 indexed citations

Benedicks, Michael, et al.. (2009). Kneading sequences for double standard maps. Fundamenta Mathematicae. 206. 61–75. 1 indexed citations

Benedicks, Michael, Peter Ward Jones, & Stanislav Smirnov. (2005). Perspectives in analysis : essays in honor of Lennart Carleson's 75th birthday. Springer eBooks. 1 indexed citations

Benedicks, Michael, et al.. (2005). Perspectives in Analysis. CERN Document Server (European Organization for Nuclear Research). 17 indexed citations

10.

Benedicks, Michael & Marcelo Viana. (2001). Solution of the basin problem for Hénon-like attractors. Inventiones mathematicae. 143(2). 375–434. 25 indexed citations

11.

Benedicks, Michael. (1994). New developments in the ergodic theory of nonlinear dynamical systems. Philosophical Transactions of the Royal Society of London Series A Physical and Engineering Sciences. 346(1679). 145–157. 4 indexed citations

12.

Benedicks, Michael & Lai‐Sang Young. (1993). Sinai-Bowen-Ruelle measures for certain H�non maps. Inventiones mathematicae. 112(1). 541–576. 106 indexed citations

13.

Benedicks, Michael & Lai-Sang Young. (1992). Absolutely continuous invariant measures and random perturbations for certain one-dimensional maps. Ergodic Theory and Dynamical Systems. 12(1). 13–37. 51 indexed citations

14.

Benedicks, Michael & Lennart Carleson. (1991). The Dynamics of the Henon Map. Annals of Mathematics. 133(1). 73–73. 433 indexed citations breakdown →

15.

Benedicks, Michael. (1985). On Fourier transforms of functions supported on sets of finite Lebesgue measure. Journal of Mathematical Analysis and Applications. 106(1). 180–183. 136 indexed citations

16.

Benedicks, Michael & Lennart Carleson. (1985). On Iterations of 1 - ax 2 on (- 1,1). Annals of Mathematics. 122(1). 1–1. 160 indexed citations

17.

Benedicks, Michael & Washek F. Pfeffer. (1985). The Dirichlet Problem With Denjoy-Perron Integrable Boundary Condition. Canadian Mathematical Bulletin. 28(1). 113–119. 1 indexed citations

18.

Benedicks, Michael. (1984). The support of functions and distributions with a spectral gap.. MATHEMATICA SCANDINAVICA. 55. 285–285. 9 indexed citations

19.

Benedicks, Michael. (1980). Positive harmonic functions vanishing on the boundary of certain domains in Rn. Arkiv för matematik. 18(1-2). 53–72. 39 indexed citations

20.

Benedicks, Michael. (1975). An Estimate of the Modulus of the Characteristic Function of a Lattice Distribution with Application to Remainder Term Estimates in Local Limit Theorems. The Annals of Probability. 3(1). 5 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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