
Softcover ISBN: | 978-2-85629-894-7 |
Product Code: | AST/405 |
List Price: | $90.00 |
AMS Member Price: | $72.00 |

Softcover ISBN: | 978-2-85629-894-7 |
Product Code: | AST/405 |
List Price: | $90.00 |
AMS Member Price: | $72.00 |
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Book DetailsAstérisqueVolume: 405; ; 314 ppMSC: Primary 35; 37; 81
The authors study semiclassical resonances generated by homoclinic trapped sets. First, under some general assumptions, they prove that there is no resonance in a region below the real axis. Then, they obtain a quantization rule and the asymptotic expansion of the resonances when there is a finite number of homoclinic trajectories. The same kind of result is proved for homoclinic sets of maximal dimension.
Next, the authors generalize to the case of homoclinic/heteroclinic trajectories and study the three bump cases. In all of these settings, the resonances may either accumulate on curves or form clouds. The authors also describe the corresponding resonant states.
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
ReadershipGraduate students and research mathematicians.
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The authors study semiclassical resonances generated by homoclinic trapped sets. First, under some general assumptions, they prove that there is no resonance in a region below the real axis. Then, they obtain a quantization rule and the asymptotic expansion of the resonances when there is a finite number of homoclinic trajectories. The same kind of result is proved for homoclinic sets of maximal dimension.
Next, the authors generalize to the case of homoclinic/heteroclinic trajectories and study the three bump cases. In all of these settings, the resonances may either accumulate on curves or form clouds. The authors also describe the corresponding resonant states.
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
Graduate students and research mathematicians.