Potential Analysis

, Volume 8, Issue 3, pp 217–258

Singularities of Hypoelliptic Green Functions


  • Gerard Ben Arous
    • Départment de MathématiquesEacute;cole Polytechnique Fédérale de Lausanne
  • Mihai Gradinaru
    • Institut Elie CartanUniversité Henri Poincaré

DOI: 10.1023/A:1008608825872

Cite this article as:
Arous, G.B. & Gradinaru, M. Potential Analysis (1998) 8: 217. doi:10.1023/A:1008608825872


This paper is devoted to a precise description of the singularity near the diagonal of the Green function associated to a hypoelliptic operator using a probabilistic approach. Examples and some applications to potential theory are given.

Hypoelliptic operatorGreen functiondegenerate diffusionTaylor stochastic expansioncapacity.
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© Kluwer Academic Publishers 1998