Contemporary Mathematics 2003; 216 pp; softcover Volume: 339 ISBN10: 0821832867 ISBN13: 9780821832868 List Price: US$65 Member Price: US$52 Order Code: CONM/339
 Science and engineering have been great sources of problems and inspiration for generations of mathematicians. This is probably true now more than ever as numerous challenges in science and technology are met by mathematicians. One of these challenges is understanding propagation of waves of different nature in systems of complex structure. This book contains the proceedings of the research conference, "Waves in Periodic and Random Media". Papers are devoted to a number of related themes, including spectral theory of periodic differential operators, Anderson localization and spectral theory of random operators, photonic crystals, waveguide theory, mesoscopic systems, and designer random surfaces. Contributions are written by prominent experts and are of interest to researchers and graduate students in mathematical physics. Readership Graduate students and research mathematicians interested in mathematical physics and partial differential equations. Table of Contents  J. M. Combes, B. Gralak, and A. Tip  Spectral properties of absorptive photonic crystals
 J.M. Combes, P. D. Hislop, and F. Klopp  Regularity properties for the density of states of random Schrödinger operators
 P. Exner  Spectral properties of Schrödinger operators with a strongly attractive \(\delta\) interaction supported by a surface
 L. Friedlander  Absolute continuity of the spectra of periodic waveguides
 F. Germinet and A. Klein  The Anderson metalinsulator transport transition
 S. E. Golowich and M. I. Weinstein  Theory and computation of scattering resonances of photonic microstructures
 Yu. Karpeshina  Asymptotic formulas for eigenvalues and eigenfunctions of periodic magnetic Schrödinger operators
 P. Kuchment and B. Ong  On guided waves in photonic crystal waveguides
 T. A. Leskova, A. A. Maradudin, E. R. Méndez, and J. MuñozLopez  The design and photofabrication of random achromatic optical diffusers for uniform illumination
 B. Pavlov and K. Robert  Resonance optical switch: Calculation of resonance eigenvalues
 A. V. Sobolev  High energy asymptotics of the density of states for certain periodic pseudodifferential operators in dimension one
 T. A. Suslina  On discrete spectrum in the gaps of a twodimensional periodic elliptic operator perturbed by a decaying potential
 V. V. Yurinsky  On the principal eigenvalue of the Schrödinger operator with a scaled random potential
