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  • 1
    Electronic Resource
    Electronic Resource
    Dirichlet forms, quasiregular functions and Brownian motion (1988)
    Springer
    Inventiones mathematicae 91 (1988), S. 273-297 
    Details
    ISSN: 1432-1297
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary Given a quasiregular function ϕ on an open setU in ℝ n it is shown that there exists a diffusionX t inU such that ϕ mapsX t inton-dimensional Brownian motion. The process is constructed from a Dirichlet form which can be described explicitly. This enables us to apply stochastic methods in the investigation of quasiregular mappings. Some examples of applications are given, including boundary behaviour and value distribution.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01389369
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