The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.
1. Introduction
2. Elements of hyperbolic geometry
3. Cross sections, sets of branches, and transfer operators
4. Branch reduction
5. Identity elimination and reduced set of branches
6. Cuspidal acceleration
7. Structure of accelerated system
8. Existence of strict transfer operator approaches
9. A detailed example
Anke Pohl, University of Bremen, Germany, and Paul Wabnitz, University of Bremen, Germany
