Diffraction Theory of Point Processes: Systems with Clumping and Repulsion

Baake M, Kösters H, Moody RV (2015)
Journal of Statistical Physics 159(4): 915-936.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Abstract / Bemerkung
We discuss several examples of point processes [all taken from Hough et al. (Zeros of Gaussian analytic functions and determinantal point processes, 2009)] for which the autocorrelation and diffraction measures can be calculated explicitly. These include certain classes of determinantal and permanental point processes, as well as an isometry-invariant point process that arises as the zero set of a Gaussian random analytic function.
Stichworte
Gaussian analytic function; Point processes; Diffraction spectrum
Erscheinungsjahr
2015
Zeitschriftentitel
Journal of Statistical Physics
Band
159
Ausgabe
4
Seite(n)
915-936
ISSN
0022-4715
Page URI
https://pub.uni-bielefeld.de/record/2736358

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Baake M, Kösters H, Moody RV. Diffraction Theory of Point Processes: Systems with Clumping and Repulsion. Journal of Statistical Physics. 2015;159(4):915-936.
Baake, M., Kösters, H., & Moody, R. V. (2015). Diffraction Theory of Point Processes: Systems with Clumping and Repulsion. Journal of Statistical Physics, 159(4), 915-936. https://doi.org/10.1007/s10955-014-1178-5
Baake, Michael, Kösters, Holger, and Moody, Robert V. 2015. “Diffraction Theory of Point Processes: Systems with Clumping and Repulsion”. Journal of Statistical Physics 159 (4): 915-936.
Baake, M., Kösters, H., and Moody, R. V. (2015). Diffraction Theory of Point Processes: Systems with Clumping and Repulsion. Journal of Statistical Physics 159, 915-936.
Baake, M., Kösters, H., & Moody, R.V., 2015. Diffraction Theory of Point Processes: Systems with Clumping and Repulsion. Journal of Statistical Physics, 159(4), p 915-936.
M. Baake, H. Kösters, and R.V. Moody, “Diffraction Theory of Point Processes: Systems with Clumping and Repulsion”, Journal of Statistical Physics, vol. 159, 2015, pp. 915-936.
Baake, M., Kösters, H., Moody, R.V.: Diffraction Theory of Point Processes: Systems with Clumping and Repulsion. Journal of Statistical Physics. 159, 915-936 (2015).
Baake, Michael, Kösters, Holger, and Moody, Robert V. “Diffraction Theory of Point Processes: Systems with Clumping and Repulsion”. Journal of Statistical Physics 159.4 (2015): 915-936.
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