Multilevel contours on bundles of complex planes

Research output: Chapter in Book/Report/Conference proceedingChapter


A new concept called multilevel contours is introduced through this article by the author. Theorems on contours constructed on a bundle of complex planes are stated and proved. Multilevel contours can transport information from one complex plane to another. Within a random environment, the behavior of contours and multilevel contours passing through the bundles of complex planes are studied. Further properties of contours by a removal process of the data are studied. The concept of “islands” and “holes” within a bundle is introduced through this article. These all constructions help to understand the dynamics of the set of points of the bundle. Further research on the topics introduced here will be followed up by the author. These include closed approximations of the multilevel contour formations and their removal processes. The ideas and results presented in this article are novel.

Original languageEnglish (US)
Title of host publicationHandbook of Statistics
PublisherElsevier B.V.
StateAccepted/In press - 2022

Publication series

NameHandbook of Statistics
ISSN (Print)0169-7161


  • Holomorphism
  • Multilevel complex planes
  • PDEs
  • Randomness
  • Spinning

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • Applied Mathematics


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