1. Introduction 2. Problems with the standard trace method 3. Background and terminology 4. Tangles 5. Walk sums and new types 6. The selective trace 7. Ramanujan functions 8. An expansion for some selective traces 9. Selective traces in graphs with (without) tangles 10. Strongly irreducible traces 11. A sidestepping lemma 12. Magnification theorems 13. Finishing the $\mathcal {G}_{n, d}$ proof 14. Finishing the proofs of the main theorems 15. Closing remarks
Notes
"Volume 195, number 910 (first of 4 numbers)."
"September 2008."
Bibliography
Includes bibliographical references (pages 99-100)
