@article {2013,
	title = {Some open problems},
	number = {arXiv:1304.2590;},
	year = {2013},
	publisher = {SISSA},
	abstract = {We discuss some challenging open problems in the geometric control theory and
sub-Riemannian geometry.},
	keywords = {Geometry},
	url = {http://hdl.handle.net/1963/7070},
	author = {Andrei A. Agrachev}
}
@article {2012,
	title = {Sub-Riemannian structures on 3D Lie groups},
	journal = {Journal of Dynamical and Control Systems. Volume 18, Issue 1, January 2012, Pages 21-44},
	number = {arXiv:1007.4970;},
	year = {2012},
	publisher = {SISSA},
	abstract = {<p>We give a complete classification of left-invariant sub-Riemannian structures on three dimensional Lie groups in terms of the basic differential invariants. As a corollary we explicitly find a sub-Riemannian isometry between the nonisomorphic Lie groups $SL(2)$ and $A^+(\mathbb{R})\times S^1$, where $A^+(\mathbb{R})$ denotes the group of orientation preserving affine maps on the real line.</p>},
	doi = {10.1007/s10883-012-9133-8},
	url = {http://hdl.handle.net/1963/6453},
	author = {Andrei A. Agrachev and Davide Barilari}
}
@article {2012,
	title = {Systems of Quadratic Inequalities},
	journal = {Proceedings of the London Mathematical Society, Volume 105, Issue 3, September 2012, Pages 622-660},
	number = {arXiv:1012.5731;},
	year = {2012},
	publisher = {SISSA},
	abstract = {We present a spectral sequence which efficiently computes Betti numbers of a
closed semi-algebraic subset of RP^n defined by a system of quadratic
inequalities and the image of the homology homomorphism induced by the
inclusion of this subset in RP^n. We do not restrict ourselves to the term E_2
of the spectral sequence and give a simple explicit formula for the
differential d_2.},
	doi = {DOI: 10.1112/plms/pds010},
	url = {http://hdl.handle.net/1963/7072},
	author = {Andrei A. Agrachev and Antonio Lerario}
}
@article {2011,
	title = {On the Space of Symmetric Operators with Multiple Ground States},
	journal = {Functional Analysis and its Applications, Volume 45, Issue 4, December 2011, Pages 241-251},
	number = {arXiv:1107.3010;},
	year = {2011},
	publisher = {SISSA},
	abstract = {We study homological structure of the filtrations of the spaces of
self-adjoint operators by the multiplicity of the ground state. We consider
only operators acting in a finite dimensional complex or real Hilbert space but
infinite dimensional generalizations are easily guessed.},
	keywords = {Multiple eigenvalue},
	doi = {DOI: 10.1007/s10688-011-0026-5},
	url = {http://hdl.handle.net/1963/7069},
	author = {Andrei A. Agrachev}
}
@article {2001,
	title = {On the subanalyticity of Carnot-Caratheodory distances},
	journal = {Ann. I. H. Poincare - An., 2001, 18, 359},
	number = {SISSA;25/00/M},
	year = {2001},
	publisher = {SISSA Library},
	doi = {10.1016/S0294-1449(00)00064-0},
	url = {http://hdl.handle.net/1963/1483},
	author = {Andrei A. Agrachev and Jean-Paul Gauthier}
}
