Reminder

In all DK related publications, it is required to acknowledge support of the FWF. The following naming convention must be used in all cases:

    Austrian Science Fund (FWF): W1230

For example, you may include a sentence such as "The author acknowledges the support of the Austrian Science Fund (FWF): W1230." Please do not forget!

Project 8:
Number systems and fractal structures

2011
[16]Horst Brunotte, Peter Kirschenhofer and Jörg M. Thuswaldner, Shift radix systems for Gaussian integers and Peth\H o's loudspeaker, Publicationes Mathematicae Debrecen, 79(3-4), 341-356, (2011). [bibtex] [doi]
2013
[15]Daniel Krenn, Jörg Thuswaldner and Volker Ziegler, On linear combinations of units with bounded coefficients and double-base digit expansions, Monatshefte für Mathematik, 171(3-4), 377-394, (2013). [bibtex] [doi]
[14]Johannes F. Morgenbesser, Wolfgang Steiner and Jörg M. Thuswaldner, Patterns in rational base number systems, The Journal of Fourier Analysis and Applications, 19(2), 225–250, (2013). [bibtex] [doi]
2014
[13]Minervino, Milton and Steiner, Wolfgang, Tilings for Pisot beta numeration, Indagationes Mathematicae, 25(4), 745–773, (2014). [bibtex] [doi]
[12]Minervino, Milton and Thuswaldner, Jörg, The geometry of non-unit Pisot substitutions, Ann. Inst. Fourier (Grenoble), 64(4), 1373–1417, (2014). [bibtex] [url]
[11]Milton Minervino, Rauzy fractals and tilings, PhD thesis, Montanuniversität Leoben, (2014). [bibtex] [pdf]
2015
[10]Steiner, Wolfgang and Thuswaldner, Jörg M., Rational self-affine tiles, Transactions of the American Mathematical Society, 367(11), 7863–7894, (2015). [bibtex] [doi]
2016
[9]Conner, Gregory R. and Thuswaldner, Jörg M., Self-affine manifolds, Adv. Math., 289, 725–783, (2016). [bibtex] [doi]
[8]Rao, Hui and Zhang, Shu-Qin, Space-filling curves of self-similar sets (I): iterated function systems with order structures, Nonlinearity, 29(7), 2112–2132, (2016). [bibtex] [doi]
2017
[7]Loridant, Benoît and Zhang, Shu-Qin, Topology of a class of p2-crystallographic replication tiles, Indagationes Mathematicae, 28(4), 805-823, (2017). [bibtex] [doi]
2018
[6]Loridant, Benoit and Minervino, Milton, Geometrical models for a class of reducible Pisot substitutions, Discrete Comput. Geom., 60(4), 981–1028, (2018). [bibtex] [url] [doi]
[5]Zhang, Shu-Qin, Optimal parametrizations of a class of self-affine sets, (2018). (In Preparation) [bibtex]
2019
[4]Dai, Xin-Rong, Rao, Hui and Zhang, Shu-Qin, Space-filling curves of self-similar sets (II): edge-to-trail substitution rule, Nonlinearity, 32(5), 1772–1809, (2019). [bibtex] [url] [doi]
[3]Shuqin Zhang, Geometry and topology of self-affine tiles and Rauzy fractals, PhD thesis, Montanuniversität Leoben, (2019). [bibtex] [html]
2020
[2]Thuswaldner, J. and Zhang, S.-Q., On self-affine tiles whose boundary is a sphere, Trans. Amer. Math. Soc., 373, 491–527, (2020). [bibtex]
[1]Rao, Hui and Zhang, Shu-Qin, Space-filling curves of self-similar sets (III): skeletons, Fractals, 28(02), 2050028, (2020). [bibtex] [url] [doi]