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  • 1
    Electronic Resource
    Electronic Resource
    Green function, capacity and sample path properties for a class of hypoelliptic diffusion processes (1989)
    Springer
    Probability theory and related fields 83 (1989), S. 219-264 
    Details
    ISSN: 1432-2064
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary This paper presents a detailed probabilistic study of a class of hypoelliptic diffusion processes in ℝ3 including the so-called Brownian motion on the Heisenberg group. We obtain precise estimates for the Green function of the process and the capcity of small compact sets. These estimates are applied to various sample path properties such as the existence of double points or the asymptotic behavior of the volume of a small tubular neighborhood of the path. Differences with the elliptic case are emphasized.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00333149
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