Rare Transitions in Noisy Heteroclinic Networks

Yuri Bakhtin, Courant Institute of Mathematical Sciences, New York University, New York. Hong-Bin Chen, Courant Institute of Mathematical Sciences, New York University, New York. Zsolt Pajor-Gyulai, Courant Institute of Mathematical Sciences, New York University, New York

• Chapters; 1. Introduction; 2. The typical behavior; 3. Some notation and terminology; 4. Two saddles; 5. Heteroclinic chains of arbitrary length; 6. Long-term asymptotics of diffusions near heteroclinic networks; 7. Proofs in the rectified coordinates; 8. Proofs in the original coordinates; 9. Gaussian approximation for the stopped process U^1; 10. Local limit theorems; 11. Density estimates