On some basic aspects of transfer operator methods for coupled cell systems / Mirko Hessel-von Molo. 2008
Inhalt
- Abstract
- Zusammenfassung
- Introduction
- Mathematical background
- Coupled Cell Systems
- Prerequisites from the Representation Theory for Groups
- Basics
- Description of the irreducible representations of Sd
- Description of isotypic decompositions of Vd
- Measure Theoretical Prerequisites
- Transfer Operators
- Transfer Operators for Coupled Cell Systems
- Consequences of Independence -- Block decompositions of Pf
- Consequences of Groupoid Equivariance for the Transfer Operator
- Numerical Approximations of Coupled Cell Transfer Operators
- Conclusion
- Bibliography