@article {2011,
	title = {Bishop and Laplacian Comparison Theorems on Three Dimensional Contact  Subriemannian Manifolds with Symmetry},
	year = {2011},
	note = {25 pages},
	publisher = {SISSA},
	abstract = {We prove a Bishop volume comparison theorem and a Laplacian comparison\r\ntheorem for three dimensional contact subriemannian manifolds with symmetry.},
	url = {http://hdl.handle.net/1963/6508},
	author = {Andrei A. Agrachev and Paul Lee}
}
@article {2011,
	title = {Generalized Ricci Curvature Bounds for Three Dimensional Contact Subriemannian manifolds},
	number = {arXiv:0903.2550;},
	year = {2011},
	note = {This is a revised extended version that contains new results.},
	publisher = {SISSA},
	url = {http://hdl.handle.net/1963/6507},
	author = {Andrei A. Agrachev and Paul Lee}
}
@article {2010,
	title = {Continuity of optimal control costs and its application to weak KAM theory},
	journal = {Calculus of Variations and Partial Differential Equations. Volume 39, Issue 1, 2010, Pages 213-232},
	number = {arXiv:0909.3826;},
	year = {2010},
	note = {23 pages, 1 figures},
	publisher = {SISSA},
	abstract = {We prove continuity of certain cost functions arising from optimal control of\\r\\naffine control systems. We give sharp sufficient conditions for this\\r\\ncontinuity. As an application, we prove a version of weak KAM theorem and\\r\\nconsider the Aubry-Mather problems corresponding to these systems.},
	doi = {10.1007/s00526-010-0308-4},
	url = {http://hdl.handle.net/1963/6459},
	author = {Andrei A. Agrachev and Paul Lee}
}
@article {2009,
	title = {Optimal transportation under nonholonomic constraints},
	journal = {Trans. Amer. Math. Soc.  361  (2009) 6019-6047},
	number = {SISSA;68/2007/M},
	year = {2009},
	abstract = {We study the Monge\\\'s optimal transportation problem where the cost is given by optimal control cost. We prove the existence and uniqueness of optimal map under certain regularity conditions on the Lagrangian, absolute continuity of the measures and most importantly the absent of sharp abnormal minimizers. In particular, this result is applicable in the case of subriemannian manifolds with a 2-generating distribution and cost given by d2, where d is the subriemannian distance. Also, we discuss some properties of the optimal plan when abnormal minimizers are present. Finally, we consider some examples of displacement interpolation in the case of Grushin plane.},
	doi = {10.1090/S0002-9947-09-04813-2},
	url = {http://hdl.handle.net/1963/2176},
	author = {Andrei A. Agrachev and Paul Lee}
}
