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
35 2017 Geodesics in the sub-Riemannian problem on the group SO (3) IY Beschastnyi, YL Sachkov
Sb. Math 207 (7), 915-941, 2016
18 * 2016 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
17 2012 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 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
13 2023 The optimal rolling of a sphere, with twisting but without slipping IY Beschastnyǐ
Sbornik: Mathematics 205 (2), 157, 2014
12 2014 Quantum Confinement for the Curvature Laplacian −Δ + c K on 2D-Almost-Riemannian Manifolds I Beschastnyi, U Boscain, E Pozzoli
Potential Analysis 58 (3), 441-464, 2023
10 2023 Jacobi fields in optimal control: Morse and Maslov indices A Agrachev, I Beschastnyi
Nonlinear Analysis 214, 112608, 2022
9 2022 An obstruction to small-time controllability of the bilinear Schrödinger equation I Beschastnyi, U Boscain, M Sigalotti
Journal of Mathematical Physics 62 (3), 2021
8 2021 Volume of small balls and sub-Riemannian curvature in 3D contact manifolds D Barilari, I Beschastnyi, A Lerario
arXiv preprint arXiv:1802.10155, 2018
6 2018 Jacobi fields in optimal control: one-dimensional variations A Agrachev, I Beschastnyi
Journal of Dynamical and Control Systems 26, 685-732, 2020
5 2020 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
3 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
2 2022 Embedding the Grushin Cylinder in and Schroedinger evolution I Beschastnyi, U Boscain, D Cannarsa, E Pozzoli
arXiv preprint arXiv:2304.00867, 2023
1 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
1 2021 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 Schr\" odinger operators with non-integer power-law potentials and Lie-Rinehart algebras I Beschastnyi, C Carvalho, V Nistor, Y Qiao
arXiv preprint arXiv:2412.19290, 2024
2024 The Gauss-Bonnet-Chern theorem for α-Grushin Manifolds I Beschastnyi, P Cerejeiras, S Lucas
2024 Morse index of block Jacobi matrices via optimal control S Baranzini, I Beschastnyi
Portugaliae Mathematica 81 (1), 107-126, 2024
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