Tracking of Lines in Spherical Images via Sub-Riemannian Geodesics in A Mashtakov, R Duits, Y Sachkov, EJ Bekkers, I Beschastnyi Journal of Mathematical Imaging and Vision 58, 239-264, 2017 | 28 | 2017 |
Geodesics in the sub-Riemannian problem on the group IY Beschastnyi, YL Sachkov Sbornik: Mathematics 207 (7), 915, 2016 | 16* | 2016 |
Left-invariant sub-Riemannian Engel structures: abnormal geodesics and integrability I Beschastnyi, A Medvedev SIAM Journal on Control and Optimization 56 (5), 3524-3537, 2018 | 14 | 2018 |
Algorithms for evaluation position and orientation of UAV AA Ardentov, IY Beschastnyi, AP Mashtakov, AY Popov, YL Sachkov, ... Program systems: Theory and applications 3 (3), 23-39, 2012 | 14 | 2012 |
The optimal rolling of a sphere, with twisting but without slipping IY Beschastnyǐ Sbornik: Mathematics 205 (2), 157, 2014 | 11 | 2014 |
Jacobi fields in optimal control: Morse and Maslov indices A Agrachev, I Beschastnyi Nonlinear Analysis 214, 112608, 2022 | 9 | 2022 |
Closure of the Laplace-Beltrami operator on 2D almost-Riemannian manifolds and semi-Fredholm properties of differential operators on Lie manifolds I Beschastnyi Results in Mathematics 78 (2), 59, 2023 | 8 | 2023 |
Quantum Confinement for the Curvature Laplacian −Δ + cK on 2D-Almost-Riemannian Manifolds I Beschastnyi, U Boscain, E Pozzoli Potential Analysis 58 (3), 441-464, 2023 | 7 | 2023 |
An obstruction to small-time controllability of the bilinear Schrödinger equation I Beschastnyi, U Boscain, M Sigalotti Journal of Mathematical Physics 62 (3), 2021 | 6 | 2021 |
Jacobi fields in optimal control: one-dimensional variations A Agrachev, I Beschastnyi Journal of Dynamical and Control Systems 26, 685-732, 2020 | 5 | 2020 |
Volume of small balls and sub-Riemannian curvature in 3D contact manifolds D Barilari, I Beschastnyi, A Lerario arXiv preprint arXiv:1802.10155, 2018 | 5 | 2018 |
Symplectic geometry of constrained optimization AA Agrachev, IY Beschastnyi Regular and Chaotic Dynamics 22, 750-770, 2017 | 5 | 2017 |
Index theorems for graph-parametrized optimal control problems A Agrachev, S Baranzini, I Beschastnyi Nonlinearity 36 (5), 2792, 2023 | 2 | 2023 |
Cartan connections for stochastic developments on sub-Riemannian manifolds I Beschastnyi, K Habermann, A Medvedev The Journal of Geometric Analysis 32 (1), 13, 2022 | 1 | 2022 |
Sub-Riemannian geodesics in SO (3) with application to vessel tracking in spherical images of retina AP Mashtakov, R Duits, YL Sachkov, E Bekkers, IY Beschastnyi Doklady Mathematics 95, 168-171, 2017 | 1 | 2017 |
Morse index of block Jacobi matrices via optimal control S Baranzini, I Beschastnyi Portugaliae Mathematica, 2024 | | 2024 |
Self-adjointness criteria and self-adjoint extensions of the Laplace-Beltrami operator on -Grushin manifolds I Beschastnyi, H Quan arXiv preprint arXiv:2305.08280, 2023 | | 2023 |
Embedding the Grushin Cylinder in and Schroedinger evolution I Beschastnyi, U Boscain, D Cannarsa, E Pozzoli arXiv preprint arXiv:2304.00867, 2023 | | 2023 |
Analysis on noncompact manifolds and Index Theory: Fredholm conditions and Pseudodifferential operators I Beschastnyi, C Carvalho, V Nistor, Y Qiao Ghent Methusalem Colloquium, 3-14, 2021 | | 2021 |