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Conformally Invariant Random Fields and Processes—Old and New

  • S. Albeverio
  • K. Iwata
  • T. Kolsrud
Chapter
Part of the Progress in Probability book series (PRPR, volume 26)

Abstract

Introduction. In [7], based on earlier articles of which we refer to [1, 2, 3, 6], we studied the equation
$$\bar \partial A = F,$$
where Aand F are four-component random fields of four variables, and \(\bar \partial \) is a quaternionic version of the classical Cauchy-Riemann operator in C. Here F, the given source, is a white noise, not necessarily gaussian.

Keywords

Brownian Motion Invariant Measure Random Field Conformally Invariant Riemann Sphere 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York  1991

Authors and Affiliations

  • S. Albeverio
    • 1
    • 3
    • 4
    • 5
  • K. Iwata
    • 1
    • 3
  • T. Kolsrud
    • 2
  1. 1.Ruhr-Universität BochumGermany
  2. 2.Kungliga Tekniska HögskolanStockholmSweden
  3. 3.Bochum-Essen-DüsseldorfGermany
  4. 4.BiBo-S Research CentreUniversität BielefeldGermany
  5. 5.CERFIMLocarnoSwitzerland

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