@article {BARILARI2017118,
	title = {Curvature terms in small time heat kernel expansion for a model class of hypoelliptic H{\"o}rmander operators},
	journal = {Nonlinear Analysis},
	volume = {164},
	year = {2017},
	pages = {118 - 134},
	abstract = {<p>We consider the heat equation associated with a class of second order hypoelliptic H{\"o}rmander operators with constant second order term and linear drift. We completely describe the small time heat kernel expansions on the diagonal giving a geometric characterization of the coefficients in terms of the divergence of the drift field and the curvature-like invariants of the optimal control problem associated with the diffusion operator.</p>},
	keywords = {Curvature, Hypoelliptic heat equation, Small time asymptotics},
	issn = {0362-546X},
	doi = {https://doi.org/10.1016/j.na.2017.09.002},
	url = {http://www.sciencedirect.com/science/article/pii/S0362546X17302298},
	author = {Davide Barilari and Elisa Paoli}
}
