Description: 1. Overview.- 1.1 Prologue.- 1.2 Setting of the research domain.- 1.3 Purpose of this research work.- 1.4 Three ways to follow.- 1.5 Overview of published work.- 1.6 Overview of this research work.- 2. Definitions and Basic Models.- 2.1 Model for the circuit.- 2.2 Model for the architecture.- 2.3 Model for the layout.- 2.4 Rent's rule.- 3. Multi-Terminal Nets.- 3.1 Model for multi-terminal nets.- 3.2 Synthetic benchmark circuits.- 4. A priori Wire Length Estimation.- 4.1 Overview of wire length estimation principles.- 4.2 Donath's hierarchical wire length estimation method.- 4.3 Global wire length distribution.- 4.4 Extending Donath's placement model.- 4.5 Discussion and results.- 4.6 External nets.- 5. Three-Dimensional Architectures.- 5.1 Conquest of the third dimension.- 5.2 Three-dimensional architectures.- 5.3 Wire length in three-dimensional architectures.- 5.4 Anisotropic architectures.- 6. Applications of a priori Wire Length Estimation.- 6.1 Applications in computer-aided design.- 6.2 Evaluation of new architectures.- 6.3 Theoretical characterization of circuits.- 7. Conclusion.- 7.1 Overview of research results presented in this book.- 7.2 Possibilities for further research.- Appendices.- Generating polynomials as efficient representation of distributions.- A.1 Enumeration of site density functions.- A.1.1 Problem formulation.- A.1.2 Generating polynomials.- A.2 Construction of polynomials.- A.2.1 Composition.- A.2.2 Convolution.- A.3 Extraction of distributions.- A.4 Examples.- A.4.1 Two-dimensional isotropic grid.- A.4.2 More complicated architectures.- Symbols.- References.

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