François Berteloot

685 total citations
32 papers, 338 citations indexed

About

François Berteloot is a scholar working on Geometry and Topology, Applied Mathematics and Mathematical Physics. According to data from OpenAlex, François Berteloot has authored 32 papers receiving a total of 338 indexed citations (citations by other indexed papers that have themselves been cited), including 25 papers in Geometry and Topology, 20 papers in Applied Mathematics and 19 papers in Mathematical Physics. Recurrent topics in François Berteloot's work include Holomorphic and Operator Theory (15 papers), Mathematical Dynamics and Fractals (15 papers) and Meromorphic and Entire Functions (11 papers). François Berteloot is often cited by papers focused on Holomorphic and Operator Theory (15 papers), Mathematical Dynamics and Fractals (15 papers) and Meromorphic and Entire Functions (11 papers). François Berteloot collaborates with scholars based in France, Italy and United Kingdom. François Berteloot's co-authors include Giovanni Bassanelli, Volker Mayer, Sergey Pinchuk, Christophe Dupont, Alexandre Sukhov, Giorgio Patrizio, Karl Oeljeklaus, Thomas Gauthier and Zbigniew Błocki and has published in prestigious journals such as Lecture notes in mathematics, Advances in Mathematics and Mathematische Annalen.

In The Last Decade

François Berteloot

31 papers receiving 302 citations

Peers

François Berteloot
Laura DeMarco United States
Lasse Rempe United Kingdom
Matei Toma France
Laura DeMarco United States
François Berteloot
Citations per year, relative to François Berteloot François Berteloot (= 1×) peers Laura DeMarco

Countries citing papers authored by François Berteloot

Since Specialization
Citations

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

Fields of papers citing papers by François Berteloot

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of François Berteloot

This figure shows the co-authorship network connecting the top 25 collaborators of François Berteloot. A scholar is included among the top collaborators of François Berteloot 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 François Berteloot. François Berteloot 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.
Berteloot, François. (2025). Zalcman’s renormalization lemma, Pinchuk’s rescaling method, and Catlin’s estimates revisited. Rendiconti del Circolo Matematico di Palermo Series 2. 74(1).
2.
Berteloot, François, et al.. (2023). Ramification current, post-critical normality and stability of holomorphic endomorphisms of $\mathbb P^k$. Fundamenta Mathematicae. 263(3). 253–270. 1 indexed citations
3.
Berteloot, François, et al.. (2018). Perturbations d'exemples de Lattes et dimension de Hausdorff du lieu de bifurcation. CINECA IRIS Institutial research information system (University of Pisa). 4 indexed citations
4.
Berteloot, François, et al.. (2014). Dynamical stability and Lyapunov exponents for holomorphic endomorphisms of P(k). arXiv (Cornell University). 8 indexed citations
5.
Berteloot, François & Thomas Gauthier. (2014). On the geometry of bifurcation currents for quadratic rational maps. Ergodic Theory and Dynamical Systems. 35(5). 1369–1379. 7 indexed citations
6.
Patrizio, Giorgio, et al.. (2013). Pluripotential Theory. Lecture notes in mathematics. 4 indexed citations
7.
Bassanelli, Giovanni & François Berteloot. (2011). Distribution of polynomials with cycles of a given multiplier. Nagoya Mathematical Journal. 201. 23–43. 9 indexed citations
8.
Berteloot, François, et al.. (2008). Normalization of bundle holomorphic contractions and applications to dynamics. Annales de l’institut Fourier. 58(6). 2137–2168. 20 indexed citations
9.
Berteloot, François. (2008). Méthodes de changement d’échelles en analyse complexe. Annales de la faculté des sciences de Toulouse Mathématiques. 15(3). 427–483. 13 indexed citations
10.
Berteloot, François & Christophe Dupont. (2005). Une caractérisation des endomorphismes de Lattès par leur mesure de Green. Commentarii Mathematici Helvetici. 80(2). 433–454. 15 indexed citations
11.
Berteloot, François, et al.. (2005). Une caracterisation des endomorphismes de Lattes par leur mesure de Green. arXiv (Cornell University). 15 indexed citations
12.
Berteloot, François. (2003). Principe de bloch et estimations de la métrique de Kobayashi des domaines deC 2. Journal of Geometric Analysis. 13(1). 29–37. 11 indexed citations
13.
Berteloot, François & Giorgio Patrizio. (2000). A Cartan Theorem for Proper Holomorphic Mappings of Complete Circular Domains. Advances in Mathematics. 153(2). 342–352. 6 indexed citations
14.
Berteloot, François, et al.. (1998). Spherical hypersurfaces and lattes rational maps. Journal de Mathématiques Pures et Appliquées. 77(7). 655–666. 8 indexed citations
15.
Berteloot, François & Alexandre Sukhov. (1997). On the continuous extension of holomorphic correspondences. French digital mathematics library (Numdam). 24(4). 747–766. 9 indexed citations
16.
Berteloot, François, et al.. (1996). Holomorphic equivalence between basins of attraction in C^2. Indiana University Mathematics Journal. 45(2). 0–0. 2 indexed citations
17.
Berteloot, François. (1991). Hölder continuity of proper holomorphic mappings. Studia Mathematica. 100(3). 229–235. 9 indexed citations
18.
Berteloot, François, et al.. (1991). Domaines de 𝐂 2 , pseudoconvexes et de type fini ayant un groupe non compact d’automorphismes. Annales de l’institut Fourier. 41(1). 77–86. 17 indexed citations
19.
Berteloot, François & Karl Oeljeklaus. (1988). Invariant plurisubharmonic functions and hypersurfaces on semisimple complex Lie groups. Mathematische Annalen. 281(3). 513–530. 7 indexed citations
20.
Berteloot, François. (1987). Fonctions plurisousharmoniques sur SL(2, C) invariantes par un sous-groupe monogène. Journal d Analyse Mathématique. 48(1). 267–276. 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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