A primer of substitution tilings of the Euclidean plane NP Frank Expositiones Mathematicae 26 (4), 295-326, 2008 | 85* | 2008 |
Fusion: a general framework for hierarchical tilings of NP Frank, L Sadun Geometriae Dedicata 171, 149-186, 2014 | 55 | 2014 |
Multidimensional constant-length substitution sequences NP Frank Topology and its Applications 152 (1-2), 44-69, 2005 | 55 | 2005 |
Generalized 𝛽-expansions, substitution tilings, and local finiteness N Frank, E Robinson Jr Transactions of the American Mathematical Society 360 (3), 1163-1177, 2008 | 45 | 2008 |
Substitution sequences in\mathbb {Z}^{d} with a non-simple Lebesgue component in the spectrum NP Frank Ergodic Theory and Dynamical Systems 23 (2), 519-532, 2003 | 44 | 2003 |
Fusion tilings with infinite local complexity NP Frank, L Sadun arXiv preprint arXiv:1201.3911, 2012 | 39 | 2012 |
Characterization of planar pseudo-self-similar tilings N Priebe, B Solomyak Discrete & Computational Geometry 26, 289-306, 2001 | 38 | 2001 |
Geometric properties of a binary non-Pisot inflation and absence of absolutely continuous diffraction M Baake, NP Frank, U Grimm, EA Robinson Jr arXiv preprint arXiv:1706.03976, 2017 | 31 | 2017 |
Topology of (some) tiling spaces without finite local complexity NP Frank, L Sadun arXiv preprint math/0701424, 2007 | 31 | 2007 |
On the existence of the adversarial bayes classifier P Awasthi, N Frank, M Mohri Advances in Neural Information Processing Systems 34, 2978-2990, 2021 | 20 | 2021 |
A dynamical system using the Voronoï tessellation N Priebe Frank, SM Hart The American Mathematical Monthly 117 (2), 99-112, 2010 | 18 | 2010 |
A fractal version of the pinwheel tiling NP Frank, MF Whittaker arXiv preprint arXiv:1001.2203, 2010 | 16 | 2010 |
Introduction to hierarchical tiling dynamical systems NP Frank Substitution and Tiling Dynamics: Introduction to Self-inducing Structures …, 2020 | 14 | 2020 |
Detecting combinatorial hierarchy in tilings using derived Voronoı tessellations NP Frank Discrete Comput. Geom 29 (3), 459-476, 2003 | 13 | 2003 |
Three variations on a theme by Fibonacci M Baake, NP Frank, U Grimm Stochastics and Dynamics 21 (03), 2140001, 2021 | 12 | 2021 |
Tilings with infinite local complexity NP Frank Mathematics of aperiodic order, 223-257, 2015 | 11 | 2015 |
Fractal dual substitution tilings NP Frank, SBG Webster, MF Whittaker Journal of Fractal Geometry 3 (3), 265-317, 2016 | 8 | 2016 |
Spectral theory of spin substitutions NP Frank, N Mañibo arXiv preprint arXiv:2108.08642, 2021 | 7 | 2021 |
Towards a characterization of self-similar tilings in terms of derived Voronoı tessellations NP Frank Geom. Dedicata 79 (3), 239-265, 2000 | 5 | 2000 |
Spectral theory of bijective substitution sequences NP Frank MFO Reports 6, 752-756, 2009 | 3 | 2009 |