Frédéric Bayart

3.5k total citations
79 papers, 1.2k citations indexed

About

Frédéric Bayart is a scholar working on Applied Mathematics, Mathematical Physics and Algebra and Number Theory. According to data from OpenAlex, Frédéric Bayart has authored 79 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 70 papers in Applied Mathematics, 30 papers in Mathematical Physics and 28 papers in Algebra and Number Theory. Recurrent topics in Frédéric Bayart's work include Holomorphic and Operator Theory (58 papers), Advanced Topics in Algebra (24 papers) and Algebraic and Geometric Analysis (21 papers). Frédéric Bayart is often cited by papers focused on Holomorphic and Operator Theory (58 papers), Advanced Topics in Algebra (24 papers) and Algebraic and Geometric Analysis (21 papers). Frédéric Bayart collaborates with scholars based in France, Spain and Brazil. Frédéric Bayart's co-authors include Sophie Grivaux, Étienne Matheron, Daniel Pellegrino, Juan B. Seoane‐Sepúlveda, Vassili Nestoridis, Teresa Bermúdez, Hervé Queffélec, Kristian Seip, Udayan B. Darji and Pamela Gorkin and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Transactions of the American Mathematical Society and Advances in Mathematics.

In The Last Decade

Frédéric Bayart

71 papers receiving 1.1k citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Frédéric Bayart France	20	1.1k	627	334	303	105	79	1.2k
L. Bernal-González Spain	18	994 0.9×	671 1.1×	390 1.2×	399 1.3×	129 1.2×	107	1.2k
Karl-Goswin Grosse-Erdmann Germany	17	1.0k 1.0×	590 0.9×	325 1.0×	363 1.2×	242 2.3×	35	1.2k
Jorge Mújica Brazil	11	521 0.5×	571 0.9×	210 0.6×	142 0.5×	148 1.4×	41	662
Peter G. Dodds Australia	20	950 0.9×	1.3k 2.1×	359 1.1×	74 0.2×	326 3.1×	68	1.4k
Kichi-Suke Saito Japan	15	331 0.3×	463 0.7×	268 0.8×	158 0.5×	58 0.6×	69	603
Richard Haydon United Kingdom	17	336 0.3×	752 1.2×	195 0.6×	393 1.3×	182 1.7×	47	874
Alfonso Montes-Rodrı́guez Spain	15	791 0.7×	319 0.5×	359 1.1×	219 0.7×	24 0.2×	25	819
Joseph A. Cima United States	19	963 0.9×	314 0.5×	237 0.7×	368 1.2×	31 0.3×	93	1.1k
B. P. Duggal United Kingdom	16	841 0.8×	652 1.0×	287 0.9×	71 0.2×	56 0.5×	141	895
Pablo Galindo Spain	17	669 0.6×	604 1.0×	360 1.1×	92 0.3×	118 1.1×	61	789

Countries citing papers authored by Frédéric Bayart

Since Specialization

Citations

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

Fields of papers citing papers by Frédéric Bayart

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Frédéric Bayart

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

Bayart, Frédéric, Sophie Grivaux, Étienne Matheron, & Quentin Menet. (2025). Hereditarily frequently hypercyclic operators and disjoint frequent hypercyclicity. Ergodic Theory and Dynamical Systems. 45(10). 3021–3072.

Bayart, Frédéric, et al.. (2024). Schatten class composition operators on the Hardy space of Dirichlet series and a comparison-type principle. Revista Matemática Iberoamericana. 40(5). 1863–1886.

Bayart, Frédéric. (2023). Disjoint frequent hypercyclicity of composition operators. Advances in Mathematics. 418. 108945–108945. 3 indexed citations

Bayart, Frédéric. (2021). Convergence and almost sure properties in Hardy spaces of Dirichlet\n series. arXiv (Cornell University). 2 indexed citations

Bayart, Frédéric, Maofa Wang, & Xingxing Yao. (2021). Linear combinations of composition operators with linear symbols on a Hilbert space of Dirichlet series. Journal of Operator Theory. 86(1). 231–251.

Bayart, Frédéric. (2021). Summability of the coefficients of a multilinear form. Journal of the European Mathematical Society. 24(4). 1161–1188. 4 indexed citations

Bayart, Frédéric & Mieczysław Mastyło. (2019). Interpolation of Hardy spaces of Dirichlet series. Journal of Functional Analysis. 277(3). 786–805. 2 indexed citations

Bayart, Frédéric. (2017). Multiple summing maps: Coordinatewise summability, inclusion theorems and p-Sidon sets. Journal of Functional Analysis. 274(4). 1129–1154. 8 indexed citations

Bayart, Frédéric, Daniel Pellegrino, & Juan B. Seoane‐Sepúlveda. (2014). The Bohr radius of the n-dimensional polydisk is equivalent to(logn)/n. Advances in Mathematics. 264. 726–746. 63 indexed citations

10.

Bayart, Frédéric, et al.. (2014). Multifractal analysis of the divergence of Fourier series: The extreme cases. Journal d Analyse Mathématique. 124(1). 387–408. 5 indexed citations

11.

Bayart, Frédéric, et al.. (2013). Sharp generalizations of the multilinear Bohnenblust–Hille inequality. Journal of Functional Analysis. 266(6). 3726–3740. 27 indexed citations

12.

Bayart, Frédéric. (2011). m-isometries on Banach spaces. HAL (Le Centre pour la Communication Scientifique Directe). 10 indexed citations

13.

Bayart, Frédéric. (2010). Epsilon-hypercyclic operators on a Hilbert space. Proceedings of the American Mathematical Society. 138(11). 4037–4043. 3 indexed citations

14.

Bayart, Frédéric. (2009). Parabolic composition operators on the ball. Advances in Mathematics. 223(5). 1666–1705. 10 indexed citations

15.

Bayart, Frédéric & Étienne Matheron. (2007). Hypercyclic operators failing the Hypercyclicity Criterion on classical Banach spaces. Journal of Functional Analysis. 250(2). 426–441. 40 indexed citations

16.

Bayart, Frédéric. (2006). A class of linear fractional maps of the ball and their composition operators. Advances in Mathematics. 209(2). 649–665. 12 indexed citations

17.

Bayart, Frédéric. (2005). Porosity and hypercyclic operators. Proceedings of the American Mathematical Society. 133(11). 3309–3316. 7 indexed citations

18.

Bayart, Frédéric & Sophie Grivaux. (2005). Hypercyclicity and unimodular point spectrum. Journal of Functional Analysis. 226(2). 281–300. 39 indexed citations

19.

Bayart, Frédéric. (2005). UNIVERSAL RADIAL LIMITS OF HOLOMORPHIC FUNCTIONS. Glasgow Mathematical Journal. 47(2). 261–267. 8 indexed citations

20.

Bayart, Frédéric. (2002). Similarity to an isometry of a composition operator. Proceedings of the American Mathematical Society. 131(6). 1789–1791. 7 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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