Christian Huck

Recent Lectures and Seminars

• Sommersemester 2017
  • Analysis I (eKVV)

• Wintersemester 2017/2018
  • Analysis II (eKVV)
  • Proseminar Fourieranalysis (eKVV)

• Sommersemester 2018
  • Lineare Algebra I (eKVV)

• Wintersemester 2018/2019
  • Lineare Algebra II (eKVV)

Areas of Research

Preprints

• With M. Baake and M. Lemańczyk: Postive entropy shifts with small centraliser and large normaliser, in preparation.
• With M. Baake, F. Gähler and P. Zeiner: Spectral and arithmetic structures in aperiodic order, in preparation.

Edited Conference Proceedings

• With M. Baake: Dynamical properties of k-free lattice points, Acta Phys. Polon. A 126 (2014), 482-485. (arXiv)
• With M. Moll and J. Nilsson: Discrete tomography: Magic numbers for N-fold symmetry, Acta Phys. Polon. A 126 (2014), 486-489. (arXiv)
• Magic numbers in the discrete tomography of cyclotomic model sets, in: Aperiodic Crystals, S. Schmid et al. (eds.), Springer (2013), pp. 29-34. (arXiv)
• Discrete tomography of F-type icosahedral model sets, Z. Kristallogr. 223 (2008), 757-760. (arXiv)
• With M. Baake: Discrete tomography of Penrose model sets, Phil. Mag., Volume 87, Issue 18-21 (2007), 2839-2846. (arXiv)

Book Chapter

• On the logarithmic probability that a random integral ideal is A-free, in: Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics, S. Ferenczi, J. Kułaga-Przymus and M. Lemańczyk (eds.), Lecture Notes in Math. 2213, Springer (2018), pp. 249-258. (arXiv)
• With U. Grimm and P. Gritzmann: Discrete tomography of model sets: reconstruction and uniqueness, in: Aperiodic Order. Vol. 2: Crystallography and Almost Periodicity, M. Baake and U. Grimm (eds.), Cambridge Univ. Press (2017), pp. 39-71.

Articles

• With M. Baake and N. Strungaru: On weak model sets of extremal density, Indag. Math. 28 (2017), 3-31. (arXiv)
• With C. Richard: On pattern entropy of weak model sets, Discrete Comput. Geom. 54, Issue 3 (2015), 741-757. (arXiv)
• With M. Baake: Ergodic properties of visible lattice points, Proc. Steklov Inst. Math. 288 (2015), 165-188. (arXiv)
• With M. Baake, F. Götze and T. Jakobi: Radial spacing distributions from planar point sets, Acta Cryst. A70 (2014), 472-482. (arXiv)
• With P. A. B. Pleasants: Entropy and diffraction of the k-free points in n-dimensional lattices, Discrete Comput. Geom. 50, Issue 1 (2013), 39-68. (arXiv)
• With M. Spieß: Solution of a uniqueness problem in the discrete tomography of algebraic Delone sets, J. Reine Angew. Math. 677 (2013), 199-224. (arXiv)
• Uniqueness in discrete tomography of Delone sets with long-range order, Discrete Comput. Geom. 42, Issue 4 (2009), 740-758. (arXiv)
• On the existence of U-polygons of class c≥4 in planar point sets, Discrete Math. 309 (2009), 4977-4981. (arXiv)
• A note on coincidence isometries of modules in Euclidean space, Z. Kristallogr. 224 (2009), 341-344. (arXiv)
• Discrete tomography of icosahedral model sets, Acta Cryst. A65 (2009), 240-248. (arXiv)
• A note on affinely regular polygons, European J. Combin. 30, Issue 2 (2009), 387-395. (arXiv)
• With M. Baake, P. Gritzmann, B. Langfeld and K. Lord: Discrete tomography of planar model sets, Acta Cryst. A62 (2006), 419-433. (arXiv)

Theses

• Discrete Tomography of Delone Sets with Long-Range Order, PhD thesis (Universität Bielefeld), Logos, Berlin, 2007.
• Contributions to the Theory of Aperiodic Order: Discrete Tomography and Spectral Theory, Habilitationsschrift (Universität Bielefeld), 2015.

last update: 09.01.2019