Christophe Vignat

1.2k total citations
45 papers, 634 citations indexed

About

Christophe Vignat is a scholar working on Statistical and Nonlinear Physics, Artificial Intelligence and Economics and Econometrics. According to data from OpenAlex, Christophe Vignat has authored 45 papers receiving a total of 634 indexed citations (citations by other indexed papers that have themselves been cited), including 22 papers in Statistical and Nonlinear Physics, 11 papers in Artificial Intelligence and 10 papers in Economics and Econometrics. Recurrent topics in Christophe Vignat's work include Statistical Mechanics and Entropy (20 papers), Complex Systems and Time Series Analysis (10 papers) and Mathematical functions and polynomials (6 papers). Christophe Vignat is often cited by papers focused on Statistical Mechanics and Entropy (20 papers), Complex Systems and Time Series Analysis (10 papers) and Mathematical functions and polynomials (6 papers). Christophe Vignat collaborates with scholars based in France, Argentina and United States. Christophe Vignat's co-authors include Jean‐François Bercher, Steeve Zozor, A. Plastino, Florence Sagnard, M. Portesi, Christian Berg, Olivier Lévêque, A. Plastino, Sylvie Marcos and J. S. Dehesa and has published in prestigious journals such as IEEE Transactions on Information Theory, IEEE Transactions on Signal Processing and Information Sciences.

In The Last Decade

Christophe Vignat

42 papers receiving 601 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Christophe Vignat France 14 247 159 118 111 106 45 634
Stephen Demko United States 12 302 1.2× 159 1.0× 139 1.2× 88 0.8× 61 0.6× 26 1.4k
Willi-Hans Steeb South Africa 14 137 0.6× 146 0.9× 25 0.2× 120 1.1× 50 0.5× 68 597
Jiu Ding United States 21 281 1.1× 81 0.5× 27 0.2× 48 0.4× 94 0.9× 132 1.4k
Karl Gustafson United States 20 177 0.7× 85 0.5× 37 0.3× 177 1.6× 43 0.4× 119 1.3k
Rami Shakarchi United States 6 66 0.3× 94 0.6× 21 0.2× 35 0.3× 64 0.6× 10 641
A. V. Balakrishnan 2 94 0.4× 49 0.3× 35 0.3× 45 0.4× 34 0.3× 2 1.1k
Warwick Tucker Sweden 17 603 2.4× 118 0.7× 63 0.5× 9 0.1× 26 0.2× 54 1.2k
Stephen Hammel United States 10 804 3.3× 102 0.6× 176 1.5× 138 1.2× 134 1.3× 31 1.2k
M. Tismenetsky Israel 10 126 0.5× 67 0.4× 8 0.1× 92 0.8× 127 1.2× 19 846
Vyacheslav L. Girko Ukraine 14 128 0.5× 112 0.7× 14 0.1× 55 0.5× 128 1.2× 88 974

Countries citing papers authored by Christophe Vignat

Since Specialization
Citations

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

Fields of papers citing papers by Christophe Vignat

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Christophe Vignat

This figure shows the co-authorship network connecting the top 25 collaborators of Christophe Vignat. A scholar is included among the top collaborators of Christophe Vignat 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 Christophe Vignat. Christophe Vignat 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.
Salminen, Paavo & Christophe Vignat. (2024). Probabilistic aspects of Jacobi theta functions. MATHEMATICA SCANDINAVICA. 130(3).
2.
Moll, Victor H., et al.. (2014). Identities for generalized Euler polynomials. Integral Transforms and Special Functions. 25(10). 777–789. 3 indexed citations
3.
Amdeberhan, Tewodros, Victor H. Moll, & Christophe Vignat. (2013). A probabalistic interpretation of a sequence related to Narayana polynomials. 1–25. 1 indexed citations
4.
Lévêque, Olivier & Christophe Vignat. (2012). A probabilistic approach of sum rules for heat polynomials. HAL (Le Centre pour la Communication Scientifique Directe). 1 indexed citations
5.
Dehesa, J. S., A. Plastino, P. Sánchez‐Moreno, & Christophe Vignat. (2012). Generalized Cramér–Rao relations for non-relativistic quantum systems. Applied Mathematics Letters. 25(11). 1689–1694. 7 indexed citations
6.
Vignat, Christophe, et al.. (2011). Entropic upper bound on gravitational binding energy. Physica A Statistical Mechanics and its Applications. 390(13). 2491–2496. 10 indexed citations
7.
Berg, Christian & Christophe Vignat. (2011). Derivation of an integral of Boros and Moll via convolution of Student t-densities. The Ramanujan Journal. 27(2). 147–150. 3 indexed citations
8.
Vignat, Christophe. (2011). A generalized Isserlis theorem for location mixtures of Gaussian random vectors. Statistics & Probability Letters. 82(1). 67–71. 18 indexed citations
9.
Vignat, Christophe. (2011). Old and new results about relativistic Hermite polynomials. Journal of Mathematical Physics. 52(9). 3 indexed citations
10.
Plastino, A., et al.. (2010). On a conjecture about Dirac’s delta representation using q-exponentials. Journal of Mathematical Physics. 51(9). 12 indexed citations
11.
Pennini, F., A. Plastino, B. H. Soffer, & Christophe Vignat. (2009). Physical symmetries and Fisher's information measure. Physics Letters A. 373(8-9). 817–820. 13 indexed citations
12.
Bercher, Jean‐François & Christophe Vignat. (2009). On minimum Fisher information distributions with restricted support and fixed variance. Information Sciences. 179(22). 3832–3842. 36 indexed citations
13.
Lévêque, Olivier, et al.. (2008). High SNR analysis of the MIMO interference channel. Infoscience (Ecole Polytechnique Fédérale de Lausanne). 905–909. 18 indexed citations
14.
Zozor, Steeve, M. Portesi, & Christophe Vignat. (2008). Some extensions of the uncertainty principle. Physica A Statistical Mechanics and its Applications. 387(19-20). 4800–4808. 49 indexed citations
15.
Vignat, Christophe & A. Plastino. (2006). Power-law random walks. Physical Review E. 74(5). 51124–51124. 4 indexed citations
16.
Vignat, Christophe & A. Plastino. (2006). Stochastic invertible mappings for Tsallis distributions. Comptes Rendus Physique. 7(3-4). 442–448. 1 indexed citations
17.
Vignat, Christophe, Alfred O. Hero, & Jose A. Costa. (2006). A Geometric Characterization of Maximum Rényi Entropy Distributions. 39. 1822–1826. 4 indexed citations
18.
Vignat, Christophe & A. Plastino. (2005). Density operators that extremize Tsallis entropy and thermal stability effects. Physica A Statistical Mechanics and its Applications. 361(1). 139–160. 3 indexed citations
19.
Vignat, Christophe, Alfred O. Hero, & Jose A. Costa. (2004). About closedness by convolution of the Tsallis maximizers. Physica A Statistical Mechanics and its Applications. 340(1-3). 147–152. 10 indexed citations
20.
Marcos, Sylvie, Odile Macchi, Christophe Vignat, et al.. (1992). A unified framework for gradient algorithms used for filter adaptation and neural network training. International Journal of Circuit Theory and Applications. 20(2). 159–200. 14 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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