Random point sets and their diffraction

Philosophical Magazine

Volumn 91, Issue 19-21, 2011, Pages 2671-2679

  Baake, Michael ^a   Kosters, Holger ^a  

^a BIELEFELD UNIVERSITY   (Germany)

Author keywords

diffraction spectra; random matrix ensembles; stochastic point processes

Indexed keywords

COIN-TOSSING; DIFFRACTION SPECTRA; HIGHER DIMENSIONS; INTEGER LATTICE; LARGE CLASS; ONE-DIMENSIONAL STRUCTURE; POISSON PROCESS; RANDOM POINT SET; RANDOM SUBSETS; RANDOM TILING; RANDOM-MATRIX ENSEMBLES; RELATED SYSTEMS; RENEWAL PROCESS; STATIONARY POINTS; STOCHASTIC INTERACTION; STOCHASTIC POINT PROCESSES; UNIFIED APPROACH;

GEOMETRY; POISSON DISTRIBUTION; STOCHASTIC SYSTEMS;

DIFFRACTION;

EID: 79957810116     PISSN: 14786435     EISSN: 14786443     Source Type: Journal    
DOI: 10.1080/14786435.2010.513696     Document Type: Article

References (29)

1. J.M. Cowley, Diffraction Physics, 3rd ed., North-Holland, Amsterdam, 1995.
2. M. Baake and U. Grimm, Z. Krist. 222 (2007) p.54.
3. M. Baake and U. Grimm, Phys. Rev. B 79 (2009) p.020203(R);
4. M. Baake and U. Grimm, Phys. Rev. B 80 (2009) p.029903(E).
5. U. Grimm and M. Baake, Z. Krist. 223 (2008) p.777.
6. M. Baake and D. Lenz, Ergodic Theory Dynam. Syst. 24 (2004) p.1867.
7. M. Baake and D. Lenz, J. Fourier Anal. Appl. 11 (2005) p.125.
8. M. Baake, D. Lenz and R.V. Moody, Ergodic Theory Dynam. Syst. 27 (2007) p.341.
9. M. Baake and T. Ward, J. Stat. Phys. 140 (2010) p.90.
10. M. Baake and U. Grimm, J. Phys. A Math. Theor. 41 (2008) p.422001.
11. M. Höffe and M. Baake, Z. Krist. 215 (2000) p.441.
12. A.C.D. van Enter and J. Miȩkisz, J. Stat. Phys. 66 (1992) p.1147.
13. M. Baake, M. Birkner and R.V. Moody, Commun. Math. Phys. 293 (2010) p.611.
14. F. Dyson, J. Math. Phys. 3 (1962) p.166.
15. J. Ginibre, J. Math. Phys. 6 (1965) p.440.
16. M.L. Mehta, Random Matrices, 3rd ed., Elsevier, Amsterdam, 2004.
17. A. Hof, Commun. Math. Phys. 169 (1995) p.25.
18. M. Reed and B. Simon, Methods of Modern Mathematical Physics I: Functional Analysis, 2nd ed., Academic Press, San Diego, 1980.
19. R.L. Withers, Z. Krist. 220 (2005) p.1027.
20. W. Feller, An Introduction to Probability Theory and Its Applications, 3rd ed., Vol. I, rev. printing John Wiley, New York, 1968.
21. W. Feller, An Introduction to Probability Theory and Its Applications, 2nd ed., Vol. II, John Wiley, New York, 1971.
22. D. Stoyan and H. Stoyan, Math. Nachr. 122 (1985) p.205.
23. K. Matzutt, Diffraction of point sets with structural disorder, PhD Thesis, Universität Bielefeld, 2010.
24. N.G. Ushakov, Selected Topics in Characteristic Functions, Brill Academic Publishers, Utrecht, 1999.
25. G.W. Anderson, A. Guionnet and O. Zeitouni, An Introduction to Random Matrices, Cambridge University Press, Cambridge, 2010.
26. A. Soshnikov, Russian Math. Surveys 55 (2000) p.923.
27. I. Dumitriu and A. Edelman, J. Math. Phys. 43 (2002) p.5830.
28. B. Valkó and B. Virág, Invent. Math. 177 (2009) p.463.
29. R. Killip and M. Stoiciu, Duke Math. J. 146 (2009) p.361.