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A Comprehensive Introduction to Sub-Riemannian Geometry
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inferredcites →https://doi.org/10.1002/cpa.3160270403openalex-snapshot
Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
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Chronological Calculus in Systems and Control Theory
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Partial Differential Equations I: Basic Theory
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Optimal Control, Geometry, and Mechanics
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On Singularities of Mappings of Euclidean Spaces. I. Mappings of the Plane Into the Plane
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Control Theory and Singular Riemannian Geometry
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Geometry of Quadrics and Spectral Theory
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Chronological Calculus in Systems and Control Theory
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Stable Mappings and Their Singularities
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Partial Differential Equations
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Mathematical Methods of Classical Mechanics
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Elliptic Functions and Applications
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Nonholonomic Mechanics and Control
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Methods of Control Theory in Nonholonomic Geometry
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The Differential of a Quasi-Conformal Mapping of a Carnot-Caratheodory Space
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The tangent space in sub-Riemannian geometry
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Carnot-Carathéodory spaces seen from within
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Survey of singular geodesics
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A cornucopia of four-dimensional abnormal sub-Riemannian minimizers
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An Invitation to Hypoelliptic Operators and Hörmander's Vector Fields
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Hausdorff measures and dimensions in non equiregular sub-Riemannian manifolds
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Sub-Riemannian Geometry and Optimal Transport
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Control of Nonholonomic Systems: from Sub-Riemannian Geometry to Motion Planning
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Stratified Lie Groups and Potential Theory for their Sub-Laplacians
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Smooth Distributions Are Globally Finitely Spanned
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Nonlinear and Optimal Control Theory
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Geometry of Optimal Control Problems and Hamiltonian Systems
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Various Aspects of Integrable Hamiltonian Systems
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A Panoramic View of Riemannian Geometry
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Perturbation Theory for Linear Operators
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Control Theory and Optimization I
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Control Theory from the Geometric Viewpoint
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Noncommutative Power Series and Formal Lie-algebraic Techniques in Nonlinear Control Theory
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The High Order Maximal Principle
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Riemannian Manifolds: An Introduction to Curvature
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The differential of a quasi-conformal mapping of a Carnot-Caratheodory space
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Strong minimality of abnormal geodesics for 2-distributions
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Balls and metrics defined by vector fields I: Basic properties
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Some remarks on the definition of tangent cones in a Carnot-Carathéodory space
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Subelliptic, second order differential operators
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Nilpotent lie groups: Structure and applications to analysis
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Nonlinear control in the Year 2000
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Subanalyticity of distance and spheres in sub-riemannian geometry
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Geometry of curves in generalized flag varieties
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End-Point Equations and Regularity of Sub-Riemannian Geodesics
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Morse-Sard type results in sub-Riemannian geometry
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Generalized Ricci curvature bounds for three dimensional contact subriemannian manifolds
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The subelliptic heat kernel on SU(2): representations, asymptotics and gradient bounds
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Non-minimality of corners in subriemannian geometry
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Strong Sard conjecture and regularity of singular minimizing geodesics for analytic sub-Riemannian structures in dimension 3
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A Morse-Sard theorem for the distance function on Riemannian manifolds
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The cut loci and the conjugate loci on ellipsoids
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On the Hausdorff volume in sub-Riemannian geometry
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Regularity results for sub-Riemannian geodesics
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Metrics with equatorial singularities on the sphere
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The Step-2 Nilpotent (n, n(n + 1)/2) Sub-Riemannian Geometry
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NILPOTENT (n, n(n + 1)/2) SUB-RIEMANNIAN PROBLEM
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Maxwell strata in the Euler elastic problem
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Conjugate Points in the Euler Elastic Problem
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The sphere and the cut locus at a tangency point in two-dimensional almost-Riemannian geometry
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Sub-Riemannian structures on 3D lie groups
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Exponential Mapping in Euler’s Elastic Problem
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Lie extensions of nonlinear control systems
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Trace heat kernel asymptotics in 3D contact sub-Riemannian geometry
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The Subelliptic Heat Kernels on SL(2, ℝ) and on its Universal Covering $\widetilde{\mathbf{SL}(2,\mathbb{R})}$ : Integral Representations and Some Functional Inequalities
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Lipschitz Classification of Almost-Riemannian Distances on Compact Oriented Surfaces
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Sub-Riemannian Curvature in Contact Geometry
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Nonholonomic manifolds and nilpotent analysis
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Geometric invariants of fanning curves
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Intrinsic random walks and sub-Laplacians in sub-Riemannian geometry
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Semiconcavity results for optimal control problems admitting no singular minimizing controls
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Two-dimensional almost-Riemannian structures with tangency points
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Sard property for the endpoint map on some Carnot groups
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On Malliavinʼs proof of Hörmanderʼs theorem
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Parametrized curves in Lagrange Grassmannians
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On variational approach to differential invariants of rank two distributions
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Differential geometry of curves in Lagrange Grassmannians with given Young diagram
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Commutators of flow maps of nonsmooth vector fields
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Extension of Chronological Calculus for dynamical systems on manifolds
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The intrinsic hypoelliptic Laplacian and its heat kernel on unimodular Lie groups
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On the regularity of abnormal minimizers for rank 2 sub-Riemannian structures
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Area formula for centered Hausdorff measures in metric spaces
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Hausdorff volume in non equiregular sub-Riemannian manifolds
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Hamiltonian point of view of non-Euclidean geometry and elliptic functions
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On the subanalyticity of Carnot–Caratheodory distances
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The Laplacian on a Riemannian Manifold
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Oxford Commemoration Ball
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Optimal Control and Geometry: Integrable Systems
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On Hammersley's minimum problem for a rolling sphere
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On the Dido Problem and Plane Isoperimetric Problems
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Chronological Algebras: Combinatorics and Control
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Some Properties of the Value Function and Its Level Sets for Affine Control Systems with Quadratic Cost
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On Sub-Riemannian Caustics and Wave Fronts for Contact Distributions in the Three-Space
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Geometry of Jacobi Curves. II
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Nilpotent (3, 6) Sub-Riemannian Problem
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On the K + P Problem for a Three-Level Quantum System: Optimality Implies Resonance
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Subanalyticity of the Sub-Riemannian Distance
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Feedback-Invariant Optimal Control Theory and Differential Geometry, II. Jacobi Curves for Singular Extremals
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Maxwell strata in sub-Riemannian problem on the group of motions of a plane
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Conjugate and cut time in the sub-Riemannian problem on the group of motions of a plane
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Cut locus and optimal synthesis in the sub-Riemannian problem on the group of motions of a plane
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On the codimension of the abnormal set in step two Carnot groups
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Sub-Riemannian sphere in Martinet flat case
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Optimal Control in laser-induced population transfer for two- or three-level quantum systems
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THE WEYL GROUP OF A GRADED LIE ALGEBRA
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DIFFUSION PROCESSES AND RIEMANNIAN GEOMETRY
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The optimal rolling of a sphere, with twisting but without slipping
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Fonction spectrale et valeurs propres d'une classe d'operateurs non elliptiques
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The wave equation on the heisenberg group
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Shortest paths for sub-Riemannian metrics on rank-two distributions
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On the cut locus of free, step two Carnot groups
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A fundamental solution for a subelliptic operator
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An Extension of a Theorem of Nagano on Transitive Lie Algebras
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Optimal transportation under nonholonomic constraints
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Sur les lignes géodésiques des surfaces convexes
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Hilbert Space Methods in the Theory of Harmonic Integrals
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Orbits of Families of Vector Fields and Integrability of Distributions
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Nonholonomic tangent spaces: intrinsic construction and rigid dimensions
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A Tour of Subriemannian Geometries, Their Geodesics and Applications
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On the Heat Diffusion for Generic Riemannian and Sub-Riemannian Structures
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On the equivalence of different types of local minima in sub-Riemannian problems
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Explicitly solvable control problems with nonholonomic constraints
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Superintegrability of left-invariant sub-Riemannian structures on unimodular three-dimensional Lie groups
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Geodesics and shortest arcs of a special sub-Riemannian metric on the Lie group SO(3)
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Geodesics and shortest arcs of a special sub-Riemannian metric on the Lie group SL(2)
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Any sub-Riemannian metric has points of smoothness
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Lie Theory and Control Systems Defined on Spheres
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Necessary Conditions for Singular Extremals Involving Multiple Control Variables
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The High Order Maximal Principle and Its Application to Singular Extremals
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Graded Approximations and Controllability Along a Trajectory
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Invariant Carnot–Caratheodory Metrics on $S^3$, $SO(3)$, $SL(2)$, and Lens Spaces
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Optimization and Nonsmooth Analysis
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On 2-Step, Corank 2, Nilpotent Sub-Riemannian Metrics
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On the Spherical Hausdorff Measure in Step 2 Corank 2 Sub-Riemannian Geometry
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On the Set of Points of Smoothness for the Value Function of Affine Optimal Control Problems
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Theory of Group Representations and Applications
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Über Systeme von linearen partiellen Differential-gleichungen erster Ordnung
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Sharp measure contraction property for generalized H-type Carnot groups
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Smoothness of the density for solutions to Gaussian rough differential equations
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The Sard conjecture on Martinet surfaces
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Connections between differential geometry and topology II. Closed surfaces
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Fanning curves of Lagrangian manifolds and geodesic flows
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Rigid paths of generic 2-distributions on 3-manifolds
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Dirichlet Forms and Symmetric Markov Processes
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Note von der geodätischen Linie auf einem Ellipsoid und den verschiedenen Anwendungen einer merkwürdigen analytischen Substitution.
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Développement asymptotique de la densité d’une diffusion dégénérée
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The Mathematical Theory of Optimal Processes
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On the Covering of a Complete Space by the Geodesics Through a Point
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The Heat Equation Method of Milgram and Rosenbloom for Open Riemannian Manifolds
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On Singularities of Mappings of Euclidean Spaces. I. Mappings of the Plane into the Plane
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Metriques de Carnot-Caratheodory et Quasiisometries des Espaces Symetriques de rang un
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Sur Les Lignes Geodesiques Des Surfaces Convexes
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Geometry, Analysis and Dynamics on sub-Riemannian Manifolds
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Incoming claims: where this work appears in other papers’ reference lists and arguments.
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The Holonomy of Optimal Mass Transport: The Gaussian-Linear Case
inferred← citeshttps://doi.org/10.1112/jlms.70254openalex-snapshot
Quasiregular mappings between equiregular sub‐Riemannian manifolds
inferred← citeshttps://doi.org/10.1134/s0001434620110176openalex-snapshot
Conjugate Points in the Generalized Dido Problem
inferred← citeshttps://doi.org/10.1134/s0001434620110280openalex-snapshot
Coadjoint Orbits and Time-Optimal Problems for Step-$$2$$ Free Nilpotent Lie Groups
inferred← citeshttps://doi.org/10.1134/s0001434621010375openalex-snapshot
An Abnormal Set for the $$(2,3,5,8)$$-Distribution
inferred← citeshttps://doi.org/10.1134/s0001434623010182openalex-snapshot
Sub-Lorentzian Problem on the Heisenberg Group
inferred← citeshttps://doi.org/10.1134/s0001434626602091openalex-snapshot
Isomorphism for the Holonomy Group of a K-Contact Sub-Riemannian Space
inferred← citeshttps://doi.org/10.1134/s0012266121110148openalex-snapshot
Homogeneous Sub-Riemannian Geodesics on a Group of Motions of the Plane
inferred← citeshttps://doi.org/10.1134/s0012266123120157openalex-snapshot
Existence of Sub-Lorentzian Longest Curves
inferred← citeshttps://doi.org/10.1134/s001226612403008xopenalex-snapshot
Sub-Lorentzian Extremals Defined by an Antinorm
inferred← citeshttps://doi.org/10.1134/s0012266125010112openalex-snapshot
Optimal Trajectories in the Grushin $$\alpha $$-Plane
inferred← citeshttps://doi.org/10.1134/s0037446621040030openalex-snapshot
Horizontal Joinability in Canonical 3-Step Carnot Groups with Corank 2 Horizontal Distributions
inferred← citeshttps://doi.org/10.1134/s0037446624050100openalex-snapshot
Control Theory Problems and the Rashevskii–Chow Theorem on a Cartan Group
inferred← citeshttps://doi.org/10.1134/s0081543821050163openalex-snapshot
Neighborhood of the Second-Order Singular Regime in Problems with Control in a Disk
inferred← citeshttps://doi.org/10.1134/s0081543826600365openalex-snapshot
Sub-Riemannian Geodesics and Shortest Arcs on the Universal Covering of the Full Connected Isometry Group of the Heisenberg Group with Left-Invariant Sub-Riemannian Metric
inferred← citeshttps://doi.org/10.1134/s0081543826600390openalex-snapshot
Almost Lorentzian Problems in the Grushin $$\alpha$$-Plane
inferred← citeshttps://doi.org/10.1134/s1064562420030187openalex-snapshot
Periodic Time-Optimal Controls on Two-Step Free-Nilpotent Lie Groups
inferred← citeshttps://doi.org/10.1134/s1064562420040158openalex-snapshot
Coadjoint Orbits of Three-Step Free Nilpotent Lie Groups and Time-Optimal Control Problem
inferred← citeshttps://doi.org/10.1134/s1064562421010105openalex-snapshot
Sub-Riemannian (2, 3, 5, 6)-Structures
inferred← citeshttps://doi.org/10.1134/s1064562421050215openalex-snapshot
Sub-Riemannian Engel Sphere
inferred← citeshttps://doi.org/10.1134/s1064562422700028openalex-snapshot
Sub-Riemannian Cartan Sphere
inferred← citeshttps://doi.org/10.1134/s1064562424702053openalex-snapshot
Sub-Lorentzian Geometry on the Martinet Distribution
inferred← citeshttps://doi.org/10.1134/s1560354720010050openalex-snapshot
Periodic Controls in Step 2 Strictly Convex Sub-Finsler Problems
inferred← citeshttps://doi.org/10.1137/18m120141xopenalex-snapshot
A Metric Model for the Functional Architecture of the Visual Cortex
inferred← citeshttps://doi.org/10.1137/19m1271166openalex-snapshot
Infinite Geodesics and Isometric Embeddings in Carnot Groups of Step 2
inferred← citeshttps://doi.org/10.1137/19m1273785openalex-snapshot
A Higher-Order Maximum Principle for Impulsive Optimal Control Problems
inferred← citeshttps://doi.org/10.1137/25m1740024openalex-snapshot
Control Analysis and Synthesis for General Control-Affine Systems
inferred← citeshttps://doi.org/10.1142/s0219199723500347openalex-snapshot
Steiner and tube formulae in 3D contact sub-Riemannian geometry
inferred← citeshttps://doi.org/10.1142/s0219887820501819openalex-snapshot
Path planning in a Riemannian manifold using optimal control
inferred← citeshttps://doi.org/10.1142/s1793525324500407openalex-snapshot
Mahler-type theorem and non-collapsed limits of sub-Riemannian compact Heisenberg manifolds
inferred← citeshttps://doi.org/10.1142/s2972458924500023openalex-snapshot
Symplectic reduction of the sub-Riemannian geodesic flow for metabelian nilpotent groups
inferred← citeshttps://doi.org/10.1155/2023/9077099openalex-snapshot
Nonequilibrium Geometric No-Arbitrage Principle and Asset Pricing Theorem
inferred← citeshttps://doi.org/10.1186/s13408-020-00099-4openalex-snapshot
A bio-inspired geometric model for sound reconstruction
inferred← citeshttps://doi.org/10.1214/20-aihp1124openalex-snapshot
Stochastic processes on surfaces in three-dimensional contact sub-Riemannian manifolds
inferred← citeshttps://doi.org/10.1214/20-ecp299openalex-snapshot
Extensions of Brownian motion to a family of Grushin-type singularities
inferred← citeshttps://doi.org/10.1214/20-ejp501openalex-snapshot
Radial processes for sub-Riemannian Brownian motions and applications
inferred← citeshttps://doi.org/10.1214/25-ejp1438openalex-snapshot
L∞-convergence to a quasi-stationary distribution
inferred← citeshttps://doi.org/10.1216/rmj.2025.55.597openalex-snapshot
SUB-FINSLER GEOMETRY AND NONHOLONOMIC MECHANICS
inferred← citeshttps://doi.org/10.1512/iumj.2022.71.9028openalex-snapshot
A rectifiability result for finite-perimeter sets in Carnot groups
inferred← citeshttps://doi.org/10.1515/acv-2020-0021openalex-snapshot
On sub-Riemannian geodesic curvature in dimension three
inferred← citeshttps://doi.org/10.1515/acv-2020-0098openalex-snapshot
Integrability of the sub-Riemannian mean curvature at degenerate characteristic points in the Heisenberg group
inferred← citeshttps://doi.org/10.1515/acv-2024-0119openalex-snapshot
A continuous model of transportation in the Heisenberg group
inferred← citeshttps://doi.org/10.1515/agms-2022-0138openalex-snapshot
A Cornucopia of Carnot Groups in Low Dimensions
inferred← citeshttps://doi.org/10.1515/agms-2022-0148openalex-snapshot
Exceptional families of measures on Carnot groups
inferred← citeshttps://doi.org/10.1515/agms-2024-0004openalex-snapshot
Curvature exponent and geodesic dimension on Sard-regular Carnot groups
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