Forschung
Theses:
- Diploma thesis: Unordnung im free-fermion-Fall des 8-Vertex-Modells, Universität Bonn (1995)
- Ph.D. thesis: Statistische Physik stochastischer Parkettierungen, Universität Tübingen (1999)
- Habilitation thesis: Combinatorial Structures in Statistical Physics and Theoretical Solid State Physics, Universität Greifswald (2003)
Research interests:
My mathematical research is inspired by problems of statistical physics such as phase transitions, entropy and diffraction of non-periodic structures. My major fields of interest are the mathematical theory of aperiodic order (model sets and tilings) and exactly solvable models (polymer models and spin systems). Mathematical methods include enumerative combinatorics, asymptotic analysis, dynamical systems, ergodic theory and probability theory.
Please visit MathSciNet for my author profile and the arXiv preprint server.
Publications in CRIS
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Inter-model sets in Rd are model sets
In: Indagationes Mathematicae 35 (2024), S. 865-889
ISSN: 0019-3577
DOI: 10.1016/j.indag.2023.06.007
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On the Garden of Eden theorem for B-free subshifts
In: Israel Journal of Mathematics 251 (2022), S. 567-594
ISSN: 0021-2172
DOI: 10.1007/s11856-022-2437-9
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Spectrum of weak model sets with Borel windows
In: Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques (2022)
ISSN: 0008-4395
DOI: 10.4153/S0008439522000352
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Leptin Densities in Amenable Groups
In: Journal of Fourier Analysis and Applications 28 (2022)
ISSN: 1069-5869
DOI: 10.1007/s00041-022-09978-8
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Correction to: On Sampling and Interpolation by Model Sets (Journal of Fourier Analysis and Applications, (2020), 26, 3, (39), 10.1007/s00041-020-09742-w)
In: Journal of Fourier Analysis and Applications 27 (2021), Art.Nr.: 50
ISSN: 1069-5869
DOI: 10.1007/s00041-021-09851-0
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Modulated crystals and almost periodic measures
In: Letters in Mathematical Physics 110 (2020), S. 3435-3472
ISSN: 0377-9017
DOI: 10.1007/s11005-020-01337-2
BibTeX: Download - , :
On Sampling and Interpolation by Model Sets
In: Journal of Fourier Analysis and Applications 26 (2020)
ISSN: 1069-5869
DOI: 10.1007/s00041-020-09742-w
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Periods and factors of weak model sets
In: Israel Journal of Mathematics 229 (2019), S. 85-132
ISSN: 0021-2172
DOI: 10.1007/s11856-018-1788-8
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A short guide to pure point diffraction in cut-and-project sets
In: Journal of Physics A: Mathematical and Theoretical 50 (2017), S. 154003
ISSN: 1751-8113
URL: http://stacks.iop.org/1751-8121/50/i=15/a=154003
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Pure Point Diffraction and Poisson Summation
In: Annales Henri Poincaré 18 (2017), S. 3903--3931
ISSN: 1424-0637
DOI: 10.1007/s00023-017-0620-z
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Dynamics on the graph of the torus parametrisation
In: Ergodic Theory and Dynamical Systems 38 (2016), S. 1-38
ISSN: 0143-3857
DOI: 10.1017/etds.2016.53
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On pattern entropy of weak model sets
In: Discrete & Computational Geometry 54 (2015), S. 741-757
ISSN: 0179-5376
DOI: 10.1007/s00454-015-9718-6
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Dynamical properties of almost repetitive Delone sets
In: Discrete and Continuous Dynamical Systems 34 (2014), S. 531-556
ISSN: 1078-0947
DOI: 10.3934/dcds.2014.34.531
BibTeX: Download - :
On pattern entropy of model sets
In: Oberwolfach reports 53 (2014)
ISSN: 1660-8933
DOI: 10.4171/OWR/2014/53
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Ergodic properties of randomly coloured point sets
In: Canadian Journal of Mathematics-Journal Canadien De Mathematiques 65 (2013), S. 349--402
ISSN: 0008-414X
DOI: 10.4153/CJM-2012-009-7
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Area limit laws for symmetry classes of staircase polygons
In: Combinatorics, Probability & Computing 19 (2010), S. 441--461
ISSN: 0963-5483
DOI: 10.1017/S0963548309990629
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Limit distributions and scaling functions
In: Anthony J. Guttmann (Hrsg.): Polygons, polyominoes and polycubes, Dordrecht: Springer, 2009, S. 247-299 (Lecture Notes in Physics, Bd.775)
ISBN: 978-1-4020-9926-7
DOI: 10.1007/978-1-4020-9927-4_11
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On q-functional equations and excursion moments
In: Discrete Mathematics 309 (2009), S. 207--230
ISSN: 0012-365X
DOI: 10.1016/j.disc.2007.12.072
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Area distribution and scaling function for punctured polygons
In: Electronic Journal of Combinatorics 15 (2008), S. Research Paper 53,50
ISSN: 1077-8926
URL: http://www.combinatorics.org/Volume_15/Abstracts/v15i1r53.html
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Pure point diffraction implies zero entropy for Delone sets with uniform cluster frequencies
In: Letters in Mathematical Physics 82 (2007), S. 61-77
ISSN: 0377-9017
DOI: 10.1007/s11005-007-0186-7
URL: http://link.springer.com/article/10.1007/s11005-007-0186-7
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Pure point diffraction and cut and project schemes for measures: the smooth case
In: Mathematische Zeitschrift 256 (2007), S. 347-378
ISSN: 0025-5874
DOI: 10.1007/s00209-006-0077-0
URL: http://link.springer.com/article/10.1007/s00209-006-0077-0
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Staircase polygons: moments of diagonal lengths and column heights
In: Journal of Physics: Conference Series 42 (2006), S. 239-257
ISSN: 1742-6588
DOI: 10.1088/1742-6596/42/1/022
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Area distribution of the planar random loop boundary
In: Journal of Physics A: Mathematical and General 37 (2004), S. 4493-4500
ISSN: 0305-4470
DOI: 10.1088/0305-4470/37/16/002
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Limit distributions for model of exactly solvable walks
In: Oberwolfach reports 1 (2004), S. 1189-1191
ISSN: 1660-8933
BibTeX: Download - , :
On the entropy and letter frequencies of ternary square-free words
In: Electronic Journal of Combinatorics 11 (2004), S. Research Paper 14, 19 pp. (electronic)
ISSN: 1077-8926
URL: http://www.combinatorics.org/Volume_11/Abstracts/v11i1r14.html
BibTeX: Download - , :
Poland-Scheraga models and the DNA denaturation transition
In: Journal of Statistical Physics 115 (2004), S. 925-947
ISSN: 0022-4715
DOI: 10.1023/B:JOSS.0000022370.48118.8b
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Scaling prediction for self-avoiding polygons revisited
In: Journal of Statistical Mechanics-Theory and Experiment (2004), Art.Nr.: P08007
ISSN: 1742-5468
DOI: 10.1088/1742-5468/2004/08/P08007
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Which distributions of matter diffract? - Some answers
In: Hans-Rainer Trebin (Hrsg.): Quasicrystals: Structure and Physical Properties, Berlin: WILEY - VCH, 2003, S. 89-207
ISBN: 978-3527403998
DOI: 10.1002/3527606572
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Dense Dirac combs in Euclidean space with pure point diffraction
In: Journal of Mathematical Physics 44 (2003), S. 4436-4449
ISSN: 0022-2488
DOI: 10.1063/1.1609032
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Kombinatorische Strukturen in Statistischer Mechanik und Theoretischer Festkörperphysik (Habilitationsschrift, 2003)
BibTeX: Download - , , :
Scaling function for self-avoiding polygons
In: Iagolnitzer D., Rivasseau V., Zinn-Justin J. (Hrsg.): Proceedings of the International Congress on Theoretical Physics TH2002, Basel: Birkhäuser, 2003, S. 267-277
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Self-avoiding walks and polygons on quasiperiodic tilings
In: Journal of Physics A: Mathematical and General 36 (2003), S. 6661-6673
ISSN: 0305-4470
DOI: 10.1088/0305-4470/36/24/305
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Scaling behaviour of two-dimensional polygon models
In: Journal of Statistical Physics 108 (2002), S. 459-493
ISSN: 0022-4715
DOI: 10.1023/A:1015773723188
URL: http://link.springer.com/article/10.1023/A:1015773723188
BibTeX: Download - , :
Integrable lattice realizations of N = 1 superconformal boundary conditions
In: Nuclear Physics B 631 (2002), S. 447-470
ISSN: 0550-3213
DOI: 10.1016/S0550-3213(02)00234-1
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An alternative description of random tilings
In: Ferroelectrics 250 (2001), S. 169-174
ISSN: 0015-0193
DOI: 10.1080/00150190108225058
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q-linear approximants: scaling functions for polygon models
In: Journal of Physics A: Mathematical and General 34 (2001), S. 4783-4796
ISSN: 0305-4470
DOI: 10.1088/0305-4470/34/23/301
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Scaling function and universal amplitude combinations for self-avoiding polygons
In: Journal of Physics A: Mathematical and General 34 (2001), S. L495-L501
ISSN: 0305-4470
DOI: 10.1088/0305-4470/34/36/102
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Analysis Alive—an Integrated Learning Environment for Higher Mathematics
In: Robert P. Gilbert, Joji Kajiwara, Yongzhi S. Xu (Hrsg.): Recent Developments in Complex Analysis and Computer Algebra, Springer US, 1999, S. 13-23 (International Society for Analysis, Applications and Computation, Bd.4)
DOI: 10.1007/978-1-4613-0297-1_2
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An alternative view on quasicrystalline random tilings
In: Journal of Physics A: Mathematical and General 32 (1999), S. 8823-8829
ISSN: 0305-4470
DOI: 10.1088/0305-4470/32/50/304
BibTeX: Download - , :
A Symbolic Numeric Environment for Analyzing Measurement Data in Multi-Model Settings
In: Victor G. Ganzha, Ernst W. Mayr, Evgenii V. Vorozhtsov (Hrsg.): Computer Algebra in Scientific Computing CASC’99, Berlin, Heidelberg: Springer, 1999, S. 343-347
DOI: 10.1007/978-3-642-60218-4_28
URL: http://link.springer.com/chapter/10.1007%2F978-3-642-60218-4_28
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Random tilings and dimer models
6th International Conference on Quasicrystals (Tokyo, 26-05-1997 - 30-05-1997)
In: Takeuchi S., Fujiwara T. (Hrsg.): Proceedings of the International Conference on Quasicrystals 6, Singapore: 1998
BibTeX: Download - , , :
Analysis alive - Ein interaktiver Mathematik-Kurs
Basel: Birkhäuser Verlag, 1998
ISBN: 3-7643-5966-8
DOI: 10.1007/978-3-0348-8781-6
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Random tilings: concepts and examples
In: Journal of Physics A: Mathematical and General 31 (1998), S. 6385-6408
ISSN: 0305-4470
DOI: 10.1088/0305-4470/31/30/007
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A guide to the symmetry structure of quasiperiodic tiling classes
In: Journal de Physique I 7 (1997), S. 1003-1018
ISSN: 1155-4304
DOI: 10.1051/jp1:1997200
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Disorder in the free-fermion case of the eight-vertex model
Symposium at the 21st International Colloquium on Group '21, ICGTMP '96 (Goslar)
In: H.-D. Doebner, W. Scherer, C. Schulte (Hrsg.): Proceedings of the Symposium at the 21st International Colloquium; Group'21, Singapore: 1997
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Unordnung im "free-fermion"-Fall des 8-Vertex-Modells (Diplomarbeit, 1995)
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