Semyon Dyatlov, University of California,
Berkeley, CA, and MIT, Cambridge, MA.
Maciej Zworski, University of California,
Berkeley, CA.
This is an up to date account of modern mathematical scattering
theory with an emphasis on the deep interplay between the location
of the scattering poles or resonances, and the underlying dynamics
and geometry. The masterful exposition reflects the authors'
significant roles in shaping this very active field. A must read
for researchers and students working in scattering theory or
related areas." - Peter Sarnak, Institute for Advanced Study
"This is a very broad treatise of the modern theory of scattering
resonances, beautifully written with a wealth of important
mathematical results as well as applications, motivations and
numerical and experimental illustrations. For experts, it will be a
basic reference and for non-experts and graduate students an
appealing and quite accessible introduction to a fascinating field
with multiple connections to other branches of mathematics and to
physics." - Johannes Sjostrand, Universite de Bourgogne
"Resonance is the Queen of the realm of waves. No other book
addresses this realm so completely and compellingly, oscillating
effortlessly between illustration, example, and rigorous
mathematical discourse. Mathematicians will find a wonderful array
of physical phenomena given a solid intuitive and mathematical
foundation, linked to deep theorems. Physicists and engineers will
be inspired to consider new realms and phenomena. Chapters travel
between motivation, light mathematics, and deeper mathematics,
passing the baton from one to the other and back in a way that
these authors are uniquely qualified to do." - Eric J. Heller,
Harvard University
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