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9781470477301 Academic Inspection Copy

Rare Transitions in Noisy Heteroclinic Networks

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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.
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
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