Antoine Ayache

1.5k total citations
55 papers, 841 citations indexed

About

Antoine Ayache is a scholar working on Finance, Economics and Econometrics and Mathematical Physics. According to data from OpenAlex, Antoine Ayache has authored 55 papers receiving a total of 841 indexed citations (citations by other indexed papers that have themselves been cited), including 35 papers in Finance, 25 papers in Economics and Econometrics and 20 papers in Mathematical Physics. Recurrent topics in Antoine Ayache's work include Stochastic processes and financial applications (27 papers), Complex Systems and Time Series Analysis (25 papers) and Financial Risk and Volatility Modeling (25 papers). Antoine Ayache is often cited by papers focused on Stochastic processes and financial applications (27 papers), Complex Systems and Time Series Analysis (25 papers) and Financial Risk and Volatility Modeling (25 papers). Antoine Ayache collaborates with scholars based in France, United States and Australia. Antoine Ayache's co-authors include Jacques Lévy Véhel, Murad S. Taqqu, Yimin Xiao, Stéphanie Leger, Monique Pontier, Serge Cohen, Arnauld Villers, Renaud Lopes, N. Makni and Philippe Puech and has published in prestigious journals such as Medical Physics, Transactions of the American Mathematical Society and Journal of Functional Analysis.

In The Last Decade

Antoine Ayache

53 papers receiving 797 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Antoine Ayache France 16 439 358 215 157 101 55 841
Jacques Istas France 13 425 1.0× 309 0.9× 147 0.7× 54 0.3× 93 0.9× 34 754
Vladas Pipiras United States 20 782 1.8× 463 1.3× 235 1.1× 81 0.5× 152 1.5× 97 1.4k
Agnès Tourin United States 9 281 0.6× 145 0.4× 54 0.3× 215 1.4× 90 0.9× 16 911
Albert Benassi France 9 359 0.8× 301 0.8× 157 0.7× 58 0.4× 30 0.3× 17 587
Fabienne Comte France 22 1.3k 3.0× 751 2.1× 99 0.5× 59 0.4× 77 0.8× 96 2.1k
Harald Luschgy Germany 15 198 0.5× 55 0.2× 209 1.0× 302 1.9× 172 1.7× 49 873
Jacques Printems France 14 406 0.9× 51 0.1× 140 0.7× 49 0.3× 39 0.4× 21 737
Siegfried Graf Germany 17 115 0.3× 102 0.3× 577 2.7× 292 1.9× 236 2.3× 40 1.2k
Ignace Loris Belgium 16 183 0.4× 55 0.2× 142 0.7× 130 0.8× 26 0.3× 48 1.2k
B. W. Stuck United States 10 354 0.8× 229 0.6× 73 0.3× 68 0.4× 22 0.2× 27 1.0k

Countries citing papers authored by Antoine Ayache

Since Specialization
Citations

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

Fields of papers citing papers by Antoine Ayache

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Antoine Ayache

This figure shows the co-authorship network connecting the top 25 collaborators of Antoine Ayache. A scholar is included among the top collaborators of Antoine Ayache 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 Antoine Ayache. Antoine Ayache 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.
Ayache, Antoine & Yimin Xiao. (2024). An optimal uniform modulus of continuity for harmonizable fractional stable motion. Transactions of the American Mathematical Society. 377(11). 8245–8266.
2.
Ayache, Antoine & Ciprian A. Tudor. (2024). Asymptotic normality for a modified quadratic variation of the Hermite process. Bernoulli. 30(2). 2 indexed citations
3.
Ayache, Antoine, et al.. (2023). Uniformly and strongly consistent estimation for the random Hurst function of a multifractional process. Latin American Journal of Probability and Mathematical Statistics. 20(2). 1587–1587.
4.
Ayache, Antoine, et al.. (2022). On local path behavior of Surgailis multifractional processes. Theory of Probability and Mathematical Statistics. 106(0). 3–26. 1 indexed citations
5.
Ayache, Antoine, et al.. (2022). Moving average Multifractional Processes with Random Exponent: Lower bounds for local oscillations. Stochastic Processes and their Applications. 146. 143–163. 5 indexed citations
6.
Ayache, Antoine, et al.. (2020). Hydrochemical study of groundwater in province of Ain Temouchent (western Algeria). Journal of Fundamental and Applied Sciences. 12(3). 1298–1312. 1 indexed citations
7.
Ayache, Antoine, Narn-Rueih Shieh, & Yimin Xiao. (2019). Wavelet series representation and geometric properties of harmonizable fractional stable sheets. Stochastics. 92(1). 1–23. 2 indexed citations
8.
Ayache, Antoine & Yimin Xiao. (2015). Harmonizable fractional stable fields: Local nondeterminism and joint continuity of the local times. Stochastic Processes and their Applications. 126(1). 171–185. 5 indexed citations
9.
Ayache, Antoine, et al.. (2014). Linear Multifractional Stable Motion: an a.s. uniformly convergent estimator for Hurst function. arXiv (Cornell University). 1 indexed citations
10.
Ayache, Antoine. (2012). Continuous Gaussian Multifractional Processes with Random Pointwise Hölder Regularity. Journal of Theoretical Probability. 26(1). 72–93. 13 indexed citations
11.
Lopes, Renaud, Antoine Ayache, N. Makni, et al.. (2010). Prostate cancer characterization on MR images using fractal features. Medical Physics. 38(1). 83–95. 82 indexed citations
12.
Linde, Werner & Antoine Ayache. (2009). Series Representations of Fractional Gaussian Processes by Trigonometric and Haar Systems. Electronic Journal of Probability. 14(none). 3 indexed citations
13.
Ayache, Antoine, Dongsheng Wu, & Yimin Xiao. (2008). Joint continuity of the local times of fractional Brownian sheets. Annales de l Institut Henri Poincaré Probabilités et Statistiques. 44(4). 26 indexed citations
14.
Ayache, Antoine, Stéphane Jaffard, & Murad S. Taqqu. (2007). Wavelet construction of Generalized Multifractional processes. Revista Matemática Iberoamericana. 23(1). 327–370. 25 indexed citations
15.
Ayache, Antoine, François Roueff, & Yimin Xiao. (2007). Local and asymptotic properties of Linear Fractional Stable Sheets. Comptes Rendus Mathématique. 344(6). 389–394. 9 indexed citations
16.
Ayache, Antoine & Jacques Lévy Véhel. (2004). On the identification of the pointwise Hölder exponent of the generalized multifractional Brownian motion. Stochastic Processes and their Applications. 111(1). 119–156. 63 indexed citations
17.
Ayache, Antoine & François Roueff. (2003). A Fourier formulation of the Frostman criterion for random graphs and its applications to wavelet series. Applied and Computational Harmonic Analysis. 14(1). 75–82. 3 indexed citations
18.
Ayache, Antoine. (2002). The Generalized Multifractional Field: A Nice Tool for the Study of the Generalized Multifractional Brownian Motion. Journal of Fourier Analysis and Applications. 8(6). 581–602. 15 indexed citations
19.
Ayache, Antoine. (2001). Du mouvement brownien fractionnaire au mouvement brownien multifractionnaire.. 20. 1133–1152. 2 indexed citations
20.
Ayache, Antoine. (2001). Some Methods for Constructing Nonseparable, Orthonormal, Compactly Supported Wavelet Bases. Applied and Computational Harmonic Analysis. 10(1). 99–111. 24 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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