B E R N D    S I N G 



Lecturer in Mathematics
University of the West Indies, Cave Hill, Barbados


 
 
 

PUBLICATIONS


All papers listed below can be downloaded as pdf files and/or gzipped postscript files.
Mathematical Diffraction Theory

B. Sing
Modulated Quasicrystals [pdf]
Z. Kristallographie 223, No. 11-12, 765-769 (2008) [Proceedings of the ICQ-10]
DOI: 10.1524/zkri.2008.1073
Poster prepared for the ICQ-10 (DIN A4) [pdf]

The following article appeared in Z. Kristallographie and may be found here.
B. Sing and T.R. Welberry
Deformed model sets and distorted Penrose tilings [pdf]
Z. Kristallographie 221, No. 9, 621-634 (2006); mp_arc/06-199
DOI: 10.1524/zkri.2006.221.9.621
Poster prepared for the SET for BRITAIN Annual Reception
at the House of Commons on 19 March 2007 (DIN A4) [ps.gz]

Author Posting. (c) Taylor & Francis, 2007. This is the author's version of the work. It is posted here by permission of Taylor & Francis for personal use, not for redistribution. The definitive version was published in Philosophical Magazine.
T.R. Welberry and B. Sing
Deformed Penrose tilings [pdf]
Philosophical Magazine 87, No. 18-21, 2877-2886 (2007) [Proceedings of the Aperiodic 2006]
DOI: 10.1080/14786430701364978

M. Baake and B. Sing
Diffraction spectrum of lattice gas models above Tc [ps.gz]
Lett. Math. Phys. 68, No. 3, 165-173 (2004); math-ph/0405064
DOI: 10.1023/B:MATH.0000045555.93532.6d
Poster prepared for Workshop in Oberwolfach (DIN A4) [ps.gz]
Presentation [ps.gz] at the Jahrestagung der DMV, Heidelberg, 14.9.04

M. Baake, R.V. Moody, C. Richard, and B. Sing
Which distributions of matter diffract? - Some answers [ps.gz]
in: H.-R. Trebin (ed.)
Quasicrystals: Structure and Physical Properties
Wiley-VCH, Berlin (2003), pp. 188-207; math-ph/0301019
DOI: 10.1002/3527606572
ISBN-13: 978-3-527-40399-8 (Online ISBN: 978-3-527-60657-3)
Presentation [pdf] at the Joint Colloquium GDR-CINQ and SPQK, Nancy, 27.5.03.

Pisot Substitutions & Cut and Project Schemes

PhD-thesis entitled Pisot Substitutions and Beyond is available on BieSOn: http://nbn-resolving.de/urn/resolver.pl?urn=urn:nbn:de:hbz:361-11555
If you cite this document, please include the above URN (in URL representation).

B. Sing and V. Sirvent
Geometry of the common dynamics of flipped Pisot substitutions [pdf]
Monatshefte für Mathematik 155, No. 3-4, 431-448 (2008).
DOI: 10.1007/s00605-008-0004-z

B. Sing
Non-unimodularity [pdf]
Actes des rencontres du CIRM 1, No. 1, 69-74 (2009).
DOI: not yet known - direct link to journal
Presentation [pdf] at the Workshop Numération: Mathématiques et Informatique, Luminy, 24.3.09.

Extended abstract [pdf] for the presentation given at the Mini-Workshop The Pisot Conjecture - From Substitution Dynamical Systems to Rauzy Fractals and Meyer Sets, Oberwolfach, 3.3.09.

Presentation [pdf] at the Workshop Computational and Combinatorial Aspects of Tilings, London, 30.7.08.

Presentation [pdf] at the Workshop Aspects of Aperiodic Order, Bielefeld, 3.7.08.

Presentation [pdf] at the Workshop Ordre apériodique: noveaux liens et anciens problèmes revisités, Luminy, 11.9.07.
Handout [pdf] distributed during the talk.

Presentation [pdf] at the Workshop Generalized substitutions, tilings and numeration, Ile de Porquerolles, 11.6.07.

Presentation [pdf] at the AMS 2007 Spring Southeastern Section Meeting, Davidson, NC, 4.3.07.

Presentation [pdf] at the Applied Mathematics Seminar, The Open University, Milton Keynes, 9.5.06.

Presentation [pdf] at the Workshop Generalized substitutions, tilings and numeration, Marseille, 7.3.06.

Presentation [pdf] at the Forschungsseminar Mathematische Physik, TU Chemnitz, 7.6.05.

Presentation [pdf] at the MASCOS Workshop on Algebraic Dynamics, Sydney, 15.2.05.

also see the article "Kolakoski-(3,1) is a (deformed) model set" (with M. Baake) below

Visible Point Sets

Presentation [pdf] at the Mathematical Physics Seminar, University of Bristol, 24.10.08.

Presentation [pdf] at the Oberseminar Geometrie und Topologie, TU Dortmund, 30.6.08.

Presentation [pdf] at the 2007 British Combinatorial Conference, Reading, 12.7.07.

Lattice Substitution Systems

D. Frettlöh and B. Sing
Computing modular coincidences for substitution tilings and point sets [ps.gz] [pdf]
Discrete Comput. Geom. 37, No.3, 381-401 (2007); math.MG/0601067
DOI: 10.1007/s00454-006-1280-9

Iterated Function Systems & Hausdorff Measures

B. Sing
Iterated function systems in mixed Euclidean and p-adic spaces [ps.gz] [pdf]
in: M.M. Novak (ed.)
Complexus Mundi - Emergent Patterns in Nature
World Scientific, Singapore (2006), pp. 267-276; math.MG/0610687
ISBN-13: 978-981-256-666-9
Presentation [pdf] at the Conference Fractal 2006, Wien, 12.2.06.

Kolakoski-Sequences

B. Sing
Kolakoski sequences - an example of aperiodic order [ps.gz]
J. Non-Cryst. Solids 334-335, 100-104 (2004) [Proceedings of the ICQ-8]
DOI: 10.1016/j.jnoncrysol.2003.11.021
Poster prepared for the ICQ-8 (DIN A4) [ps.gz]

The following article appeared in J. Math. Phys. and may be found here.
B. Sing
Kolakoski-(2m,2n) are limit-periodic model sets [ps.gz] [pdf]
J. Math. Phys. 44, No. 2, 899-912 (2003); math-ph/0207037
DOI: 10.1063/1.1521239
© (2003) American Institute of Physics.
This article may be downloaded for personal use only.
Any other use requires prior permission of the author and the American Institute of Physics.

M. Baake and B. Sing
Kolakoski-(3,1) is a (deformed) model set [ps.gz] [pdf]
Canad. Math. Bull. 47, No. 2, 168-190 (2004); math.MG/0206098

Diploma-thesis entitled Spektrale Eigenschaften der Kolakoski-Sequenzen is available as [ps.gz] and as [pdf.gz]

Frost Heave

D-M. Zhu, O.E. Vilches, J.G. Dash, B. Sing and J.S. Wettlaufer
Frost heave in argon [ps.gz]
Phys. Rev. Lett. 85, No. 23, 4908-4911 (2000)
DOI: 10.1103/PhysRevLett.85.4908


 

 
© 2004-2010 by Bernd Sing • • last update: 13.01.2010 (01/13/2010)