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arXiv · 1510.04925

Curvature terms in small time heat kernel expansion for a model class of hypoelliptic Hörmander operators

Davide Barilari·Elisa Paoli
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Abstract

We consider the heat equation associated with a class of second order hypoelliptic Hörmander operators with constant second order term and linear drift. We describe the possible small time heat kernel expansion 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.

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Davide Barilari, Elisa Paoli. 2015-10-16. Curvature terms in small time heat kernel expansion for a model class of hypoelliptic Hörmander operators. https://arxiv.org/abs/1510.04925

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