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Open Math Notes

Resources and inspiration for math instruction and learning

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Welcome to AMS Open Math Notes, a repository of freely downloadable mathematical works hosted by the American Mathematical Society as a service to researchers, faculty and students. Open Math Notes includes:

  • Draft works including course notes, textbooks, and research expositions. These have not been published elsewhere and are subject to revision.
  • Items previously published in the Journal of Inquiry-Based Learning in Mathematics, a refereed journal
  • Refereed publications at the AMS

Visitors are encouraged to download and use any of these materials as teaching and research aids, and to send constructive comments and suggestions to the authors.

Open Math Notes Advisory Board:

  • Karen Vogtmann, Chair | University of Warwick
  • Tom Halverson | Macalester College
  • Andrew Hwang | College of the Holy Cross
  • Robert Lazarsfeld | Stony Brook University
  • Mary Pugh | University of Toronto

contact


Armand Azonnahin
Instituto de Matemática e Estatística da Universidade de São Paulo
Reference #
OMN:201909.110805

Attributes

Posted date
2019-10-18 17:59:20
Revised date
2019-10-18 17:59:20
Level
   Graduate
Notes type
   Research Monographs
Topic
   Analysis
      Complex Analysis
   Dynamical Systems and Ergodic Theory
      Discrete Time Systems
      Continuous Time Systems

On Cohomological Stochastic Dynamics of Higher Dimensions

Here is one of the best and the more recent books on Complex Dynamics in Higer Dimension. Here, we develop a calculus on positive closed currents of arbitrary bidegree on compact K{\"a}hler manifolds after
recalling a notion of super-potential associated to such currents by using deformations in the space of currents. We define in particular the intersection of such currents and the pull-back operator. We apply the theory of super-potentials to construct Green currents ...

Course Notes and Supplementary Material (PDF format)

TypeFile (Size)Date
Course notes v1 PDF (2.0M) 10/18/19