Andrei Agrachev

6.2k total citations · 1 hit paper
104 papers, 2.8k citations indexed

About

Andrei Agrachev is a scholar working on Applied Mathematics, Geometry and Topology and Statistical and Nonlinear Physics. According to data from OpenAlex, Andrei Agrachev has authored 104 papers receiving a total of 2.8k indexed citations (citations by other indexed papers that have themselves been cited), including 47 papers in Applied Mathematics, 43 papers in Geometry and Topology and 26 papers in Statistical and Nonlinear Physics. Recurrent topics in Andrei Agrachev's work include Geometric Analysis and Curvature Flows (36 papers), Advanced Differential Geometry Research (22 papers) and Quantum chaos and dynamical systems (22 papers). Andrei Agrachev is often cited by papers focused on Geometric Analysis and Curvature Flows (36 papers), Advanced Differential Geometry Research (22 papers) and Quantum chaos and dynamical systems (22 papers). Andrei Agrachev collaborates with scholars based in Italy, Russia and France. Andrei Agrachev's co-authors include Yuri L. Sachkov, Daniel Liberzon, Р. В. Гамкрелидзе, Andrey Sarychev, Davide Barilari, Ugo Boscain, Héctor J. Sussmann, Vadim Utkin, A. Stephen Morse and Eduardo D. Sontag and has published in prestigious journals such as Lecture notes in mathematics, Transactions of the American Mathematical Society and Systems & Control Letters.

In The Last Decade

Andrei Agrachev

97 papers receiving 2.5k citations

Hit Papers

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What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Control Theory from the Geometric Viewpoint

2004 713 citations Andrei Agrachev et al. profile →

Peers

Countries citing papers authored by Andrei Agrachev

Since Specialization

Citations

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

Fields of papers citing papers by Andrei Agrachev

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Andrei Agrachev

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

#	Work	Indexed citations
1	Generic controllability of equivariant systems and applications to particle systems and neural networks 2025 ·Annales de l Institut Henri Poincaré C Analyse Non Linéaire ·Andrei Agrachev, (unknown)	2
2	“Good Lie Brackets” for Control Affine Systems 2024 ·Journal of Dynamical and Control Systems ·Andrei Agrachev	0
3	Relative heat content asymptotics for sub-Riemannian manifolds 2024 ·Analysis & PDE ·Andrei Agrachev, Luca Rizzi, (unknown)	0
4	Control on the Manifolds of Mappings with a View to the Deep Learning 2021 ·Florence Research (University of Florence) ·Andrei Agrachev, Andrey Sarychev	14
5	Jacobi Fields in Optimal Control: One-dimensional Variations 2020 ·Journal of Dynamical and Control Systems ·Andrei Agrachev, (unknown)	4
6	Volume geodesic distortion and Ricci curvature for Hamiltonian dynamics 2019 ·Annales de l’institut Fourier ·Andrei Agrachev, Davide Barilari, (unknown)	2
7	Generalized Ricci curvature bounds for three dimensional contact subriemannian manifolds 2014 ·Mathematische Annalen ·Andrei Agrachev, (unknown)	16
8	Dynamics control by a time-varying feedback 2010 ·Journal of Dynamical and Control Systems ·Andrei Agrachev, Marco Caponigro	4
9	The intrinsic hypoelliptic Laplacian and its heat kernel on unimodular Lie groups 2009 ·Journal of Functional Analysis ·Andrei Agrachev, Ugo Boscain, Jean-Paul Gauthier, Francesco Rossi	71
10	Optimal transportation under nonholonomic constraints 2009 ·Transactions of the American Mathematical Society ·Andrei Agrachev, Paul Lee	35
11	On Feedback Classification of Control-Affine Systems with One- and Two-Dimensional Inputs 2007 ·SIAM Journal on Control and Optimization ·Andrei Agrachev, Igor Zelenko	10
12	NUROWSKI'S CONFORMAL STRUCTURES FOR (2,5)-DISTRIBUTIONS VIA DYNAMICS OF ABNORMAL EXTREMALS(Developments of Cartan Geometry and Related Mathematical Problems) 2006 ·数理解析研究所講究録 ·Andrei Agrachev, Igor Zelenko	2
13	Hamiltonian systems of negative curvature are hyperbolic 2005 ·Doklady Mathematics ·Andrei Agrachev, (unknown)	3
14	Sub-Riemannian Metrics and Isoperimetric Problems in the Contact Case 2001 ·Journal of Mathematical Sciences ·Andrei Agrachev, Jean-Paul Gauthier	13
15	Feedback-Invariant Optimal Control Theory and Differential Geometry, II. Jacobi Curves for Singular Extremals 1998 ·Journal of Dynamical and Control Systems ·Andrei Agrachev	23
16	Sub-Riemannian sphere in Martinet flat case 1997 ·ESAIM Control Optimisation and Calculus of Variations ·Andrei Agrachev, Bernard Bonnard, Monique Chyba, Ivan Kupka	69
17	SYMPLECTIC GEOMETRY AND NECESSARY CONDITIONS FOR OPTIMALITY 1992 ·Mathematics of the USSR-Sbornik ·Andrei Agrachev, Р. В. Гамкрелидзе	7
18	THE LEVEL SET OF A SMOOTH MAPPING IN A NEIGHBORHOOD OF A SINGULAR POINT, AND ZEROS OF A QUADRATIC MAPPING 1992 ·Mathematics of the USSR-Sbornik ·E. R. Avakov, Andrei Agrachev, A. V. Arutyunov	15
19	THE LEVEL SET OF A SMOOTH MAPPING IN A NEIGHBOURHOOD OF A SINGULAR POINT AND THE ZEROS OF A QUADRATIC MAPPING 1991 ·Mathematics ·E. R. Avakov, Andrei Agrachev, A. V. Arutyunov	6
20	Quadratic maps and smooth vector-valued functions: Euler characteristics of level sets 1991 ·Journal of Mathematical Sciences ·Andrei Agrachev, Р. В. Гамкрелидзе	15

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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