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Baake, Michael; Birkner, Matthias and Grimm, Uwe
(2015).
URL: http://www.springer.com/en/book/9783034809023
Abstract
The present state of mathematical diffraction theory for systems with continuous spectral components is reviewed and extended. We begin with a discussion of various characteristic examples with singular or absolutely continuous diffraction, and then continue with a more general exposition of a systematic approach via stationary stochastic point processes. Here, the intensity measure of the Palm measure takes the role of the autocorrelation measure in the traditional approach. We furthermore introduce a 'Palm-type' measure for general complex-valued random measures that are stationary and ergodic, and relate its intensity measure to the autocorrelation measure.
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- Item ORO ID
- 44126
- Item Type
- Book Section
- ISBN
- 3-0348-0902-6, 978-3-0348-0902-3
- Keywords
- kinematic diffraction; random dynamical systems; stationary stochastic processes
- Academic Unit or School
-
Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM) - Copyright Holders
- © 2015 Springer, Basel
- Depositing User
- Uwe Grimm