Diffraction of Stochastic Point Sets: Explicitly Computable Examples

Baake M, Birkner M, Moody RV (2010)
COMMUNICATIONS IN MATHEMATICAL PHYSICS 293(3): 611-660.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Baake, MichaelUniBi; Birkner, Matthias; Moody, Robert V.
Abstract / Bemerkung
Stochastic point processes relevant to the theory of long-range aperiodic order are considered that display diffraction spectra of mixed type, with special emphasis on explicitly computable cases together with a unified approach of reasonable generality. The latter is based on the classical theory of point processes and the Palm distribution. Several pairs of autocorrelation and diffraction measures are discussed which show a duality structure analogous to that of the Poisson summation formula for lattice Dirac combs.
Erscheinungsjahr
2010
Zeitschriftentitel
COMMUNICATIONS IN MATHEMATICAL PHYSICS
Band
293
Ausgabe
3
Seite(n)
611-660
ISSN
0010-3616
Page URI
https://pub.uni-bielefeld.de/record/1589453

Zitieren

Baake M, Birkner M, Moody RV. Diffraction of Stochastic Point Sets: Explicitly Computable Examples. COMMUNICATIONS IN MATHEMATICAL PHYSICS. 2010;293(3):611-660.
Baake, M., Birkner, M., & Moody, R. V. (2010). Diffraction of Stochastic Point Sets: Explicitly Computable Examples. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 293(3), 611-660. https://doi.org/10.1007/s00220-009-0942-x
Baake, M., Birkner, M., and Moody, R. V. (2010). Diffraction of Stochastic Point Sets: Explicitly Computable Examples. COMMUNICATIONS IN MATHEMATICAL PHYSICS 293, 611-660.
Baake, M., Birkner, M., & Moody, R.V., 2010. Diffraction of Stochastic Point Sets: Explicitly Computable Examples. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 293(3), p 611-660.
M. Baake, M. Birkner, and R.V. Moody, “Diffraction of Stochastic Point Sets: Explicitly Computable Examples”, COMMUNICATIONS IN MATHEMATICAL PHYSICS, vol. 293, 2010, pp. 611-660.
Baake, M., Birkner, M., Moody, R.V.: Diffraction of Stochastic Point Sets: Explicitly Computable Examples. COMMUNICATIONS IN MATHEMATICAL PHYSICS. 293, 611-660 (2010).
Baake, Michael, Birkner, Matthias, and Moody, Robert V. “Diffraction of Stochastic Point Sets: Explicitly Computable Examples”. COMMUNICATIONS IN MATHEMATICAL PHYSICS 293.3 (2010): 611-660.

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