Armen Shirikyan

1.6k total citations
59 papers, 868 citations indexed

About

Armen Shirikyan is a scholar working on Applied Mathematics, Control and Systems Engineering and Mathematical Physics. According to data from OpenAlex, Armen Shirikyan has authored 59 papers receiving a total of 868 indexed citations (citations by other indexed papers that have themselves been cited), including 30 papers in Applied Mathematics, 29 papers in Control and Systems Engineering and 24 papers in Mathematical Physics. Recurrent topics in Armen Shirikyan's work include Stability and Controllability of Differential Equations (29 papers), Stochastic processes and financial applications (22 papers) and Navier-Stokes equation solutions (20 papers). Armen Shirikyan is often cited by papers focused on Stability and Controllability of Differential Equations (29 papers), Stochastic processes and financial applications (22 papers) and Navier-Stokes equation solutions (20 papers). Armen Shirikyan collaborates with scholars based in France, Russia and United Kingdom. Armen Shirikyan's co-authors include Sergei Kuksin, Sergei Kuksin, Vahagn Nersesyan, L. R. Volevich, Viorel Barbu, Sergey Zelik, Lihu Xu, Jerzy Zabczyk, Enrico Priola and Claude‐Alain Pillet and has published in prestigious journals such as Communications in Mathematical Physics, Communications on Pure and Applied Mathematics and Journal of Mathematical Analysis and Applications.

In The Last Decade

Armen Shirikyan

54 papers receiving 793 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Armen Shirikyan France 17 474 419 318 273 247 59 868
Sergei Kuksin Russia 18 388 0.8× 269 0.6× 304 1.0× 352 1.3× 169 0.7× 75 1.1k
Dariusz Ga̧tarek Poland 11 616 1.3× 295 0.7× 296 0.9× 177 0.6× 258 1.0× 37 847
Enrico Priola Italy 18 583 1.2× 233 0.6× 474 1.5× 410 1.5× 331 1.3× 52 986
Szymon Peszat Poland 14 825 1.7× 375 0.9× 318 1.0× 342 1.3× 404 1.6× 35 1.0k
Pao–Liu Chow United States 14 431 0.9× 296 0.7× 169 0.5× 176 0.6× 292 1.2× 30 804
Sandra Cerrai Italy 17 721 1.5× 374 0.9× 218 0.7× 350 1.3× 481 1.9× 43 1.0k
Huaizhong Zhao United Kingdom 16 403 0.9× 234 0.6× 130 0.4× 161 0.6× 151 0.6× 49 641
R. Mikulevíčius United States 15 536 1.1× 160 0.4× 411 1.3× 211 0.8× 267 1.1× 63 864
Erika Hausenblas Austria 16 599 1.3× 178 0.4× 224 0.7× 175 0.6× 311 1.3× 60 782
Benjamin Gess Germany 14 288 0.6× 320 0.8× 177 0.6× 138 0.5× 369 1.5× 37 576

Countries citing papers authored by Armen Shirikyan

Since Specialization
Citations

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

Fields of papers citing papers by Armen Shirikyan

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Armen Shirikyan

This figure shows the co-authorship network connecting the top 25 collaborators of Armen Shirikyan. A scholar is included among the top collaborators of Armen Shirikyan 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 Armen Shirikyan. Armen Shirikyan 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.
Shirikyan, Armen. (2021). Controllability implies mixing II. Convergence in the dual-Lipschitz metric. Journal of the European Mathematical Society. 23(4). 1381–1422.
2.
Kuksin, Sergei, Vahagn Nersesyan, & Armen Shirikyan. (2018). Exponential mixing for a class of dissipative PDEs with bounded\n degenerate noise. arXiv (Cornell University). 23 indexed citations
3.
Jakšić, Vojkan, et al.. (2017). Large Deviations and Fluctuation Theorem for Selectively Decoupled Measures on Shift Spaces. HAL AMU. 9 indexed citations
4.
Shirikyan, Armen. (2017). Control theory for the Burgers equation: Agrachev–Sarychev approach. HAL (Le Centre pour la Communication Scientifique Directe).
5.
Shirikyan, Armen, et al.. (2015). Statistical Analysis of Fast Fluctuating Random Signals with Arbitrary-Function Envelope and Unknown Parameters. Communications - Scientific letters of the University of Zilina. 17(1A). 35–43. 5 indexed citations
6.
Shirikyan, Armen. (2015). Control and mixing for 2D Navier-Stokes equations with space-time localised noise. Annales Scientifiques de l École Normale Supérieure. 48(2). 253–280. 9 indexed citations
7.
Shirikyan, Armen. (2011). Local times for solutions of the complex Ginzburg–Landau equation and the inviscid limit. Journal of Mathematical Analysis and Applications. 384(1). 130–137. 10 indexed citations
8.
Shirikyan, Armen. (2010). Controllability of nonlinear PDE’s: Agrachev–Sarychev approach. Journées Équations aux dérivées partielles. 1–11. 1 indexed citations
9.
Barbu, Viorel, et al.. (2010). Internal exponential stabilization for Navier-Stokes equations by means of finite-dimensional distributed controls. arXiv (Cornell University). 1 indexed citations
10.
Shirikyan, Armen. (2007). Qualitative properties of stationary measures for three-dimensional Navier–Stokes equations. Journal of Functional Analysis. 249(2). 284–306. 16 indexed citations
11.
Shirikyan, Armen. (2006). Some mathematical problems of statistical hydrodynamics. 304–311. 1 indexed citations
12.
Kuksin, Sergei & Armen Shirikyan. (2004). Randomly forced CGL equation: stationary measures and the inviscid limit. Journal of Physics A Mathematical and General. 37(12). 3805–3822. 31 indexed citations
13.
Shirikyan, Armen. (2004). Exponential Mixing for 2D Navier-Stokes Equations Perturbed by an Unbounded Noise. Journal of Mathematical Fluid Mechanics. 6(2). 169–193. 17 indexed citations
14.
Kuksin, Sergei, et al.. (2004). О случайных аттракторах для систем перемешивающего типа. Функциональный анализ и его приложения. 38(1). 34–46. 4 indexed citations
15.
Shirikyan, Armen. (2003). A VERSION OF THE LAW OF LARGE NUMBERS AND APPLICATIONS. 263–271. 6 indexed citations
16.
Kuksin, Sergei & Armen Shirikyan. (2002). Coupling approach to white-forced nonlinear PDEs. Journal de Mathématiques Pures et Appliquées. 81(6). 567–602. 58 indexed citations
17.
Kuksin, Sergei & Armen Shirikyan. (2001). Ergodicity for the Randomly Forced 2D Navier–Stokes Equations. Mathematical Physics Analysis and Geometry. 4(2). 147–195. 42 indexed citations
18.
Kuksin, Sergei & Armen Shirikyan. (2001). A Coupling Approach¶to Randomly Forced Nonlinear PDE's. I. Communications in Mathematical Physics. 221(2). 351–366. 80 indexed citations
19.
Volevich, L. R. & Armen Shirikyan. (1999). Stable and unstable manifolds for nonlinear elliptic equations with parameter. ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 79. 108–152. 5 indexed citations
20.
Shirikyan, Armen. (1993). On classical almost-periodic solutions of nonlinear hyperbolic equations. Mathematical Notes. 54(6). 1288–1290. 1 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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