Publications (28)
Jacobi Fields in Optimal Control II: One-dimensional Variations
Andrei Agrachev, Ivan Beschastnyi
Systems of Quadratic Inequalities
Andrei Agrachev, Antonio Lerario
Bishop and Laplacian Comparison Theorems on Three Dimensional Contact Subriemannian Manifolds with Symmetry
Andrei Agrachev, Paul W. Y. Lee
Geometry of optimal control problems and Hamiltonian systems
Andrei Agrachev
Generalized Ricci Curvature Bounds for Three Dimensional Contact Subriemannian manifolds
Andrei Agrachev, Paul Lee
On feedback classification of control-affine systems with one and two-dimensional inputs
Andrei Agrachev, Igor Zelenko
Nurowski's conformal structures for (2,5)-distributions via dynamics of abnormal extremals
Andrei Agrachev, Igor Zelenko
Sub-Riemannian curvature in contact geometry
Andrei Agrachev, Davide Barilari, Luca Rizzi
On finite-dimensional projections of distributions for solutions of randomly forced PDE's
Andrei Agrachev, Sergei Kuksin, Andrey Sarychev +1
Well-posed infinite horizon variational problems on a compact manifold
Andrei Agrachev
Rolling balls and Octonions
Andrei Agrachev
Spectrum of the second variation
Andrei Agrachev
Quadratic cohomology
Andrei Agrachev
The intrinsic hypoelliptic Laplacian and its heat kernel on unimodular Lie groups
Andrei Agrachev, Ugo Boscain, Jean-Paul Gauthier +1
Families of vector fields which generate the group of diffeomorphisms
Andrei Agrachev, Marco Caponigro
Intrinsic random walks in Riemannian and sub-Riemannian geometry via volume sampling
Andrei Agrachev, Ugo Boscain, Robert Neel +1
On the Hausdorff volume in sub-Riemannian geometry
Andrei Agrachev, Davide Barilari, Ugo Boscain
Control in the spaces of ensembles of points
Andrei Agrachev, Andrey Sarychev
Two-Dimensional Almost-Riemannian Structures with Tangency Points
Andrei Agrachev, Ugo Boscain, Grégoire Charlot +2
Optimal Transportation under Nonholonomic Constraints
Andrei Agrachev, Paul Lee
Sub-Riemannian structures on 3D Lie groups
Andrei Agrachev, Davide Barilari
Some open problems
Andrei Agrachev
On conjugate times of LQ optimal control problems
Andrei Agrachev, Luca Rizzi, Pavel Silveira
Tangent hyperplanes to subriemannian balls
Andrei Agrachev
On the Space of Symmetric Operators with Multiple Ground States
Andrei Agrachev
Curvature: a variational approach
Andrei Agrachev, Davide Barilari, Luca Rizzi
Any sub-Riemannian Metric has Points of Smoothness
Andrei Agrachev
Volume geodesic distortion and Ricci curvature for Hamiltonian dynamics
Andrei Agrachev, Davide Barilari, Elisa Paoli