- Merge Trees of Periodic Filtrations
2024/08/29 by Edelsbrunner, Herbert, Heiss, Teresa · 1 citation
#05C05 #05C38 #05C40 #05C63 #05C85 #05C90 #05C92 #52C22 #55-08 #55N31 (Primary) #68W05 #92E10 (Secondary) #Algebraic Topology (math.AT) #Combinatorics (math.CO) #Computational Geometry (cs.CG) #F.2.2 #FOS: Computer and information sciences #FOS: Mathematics #G.2.2 #G.2.3 #Metric Geometry (math.MG)
- On the minimal period of integer tilings
2024/06/21 by Łaba, Izabella, Zakharov, Dmitrii · 1 citation
#05B45 #52C22 #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)
- Blowups and Tops of Overlapping Iterated Function Systems
2023/02/21 by Barnsley, Louisa F., Barnsley, Michael F. · 1 citation
#05B45 #28A80 #52C22 #Dynamical Systems (math.DS) #FOS: Mathematics
- A note on reduction of tiling problems
2022/11/14 by Meyerovitch, Tom, Sanadhya, Shrey, Solomon, Yaar · 1 citation
#03B25 #03D30 #05B45 #52C22 #52C23 #Combinatorics (math.CO) #FOS: Mathematics #Logic (math.LO)
- Tiling of rectangles with squares via Diophantine approximation
2022/01/27 by Keleti, Tamás, Lacina, Stephen, Liu, Changshuo +2 · 1 citation
#05B45 #11J13 #52C20 #52C22 #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)
- Combinatorial and harmonic-analytic methods for integer tilings
2021/06/26 by Izabella Łaba, Itay Londner, Laba, Izabella +1 · 2 citations
Computer Science · Engineering · Materials Science · #11B75 #20K01. Secondary 11C08 #43A47 #51D20 #52C22 #Cellular Automata and Applications #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT) #Primary 05B45 #Quasicrystal Structures and Properties #graph theory and CDMA systems
- Domino tilings and flips in dimensions 4 and higher
2020/07/16 by Klivans, Caroline, Saldanha, Nicolau C. · 1 citation
#05B45 #05C70 #52C20 #52C22 #Combinatorics (math.CO) #FOS: Mathematics
- Tiling Iterated Function Systems
2020/02/10 by Barnsley, Michael F., Barnsley, Louisa F., Vince, Andrew · 1 citation
#05B45 #28A80 #52C22 #Dynamical Systems (math.DS) #FOS: Mathematics
- On self-affine tiles whose boundary is a sphere
2018/11/16 by Thuswaldner, Jörg, Zhang, Shu-qin · 1 citation
#28A80 #52C22 #54F65 #57M50 #57N05 #FOS: Mathematics #Geometric Topology (math.GT) #Secondary: 51M20
- Spectrality of product domains and Fuglede's conjecture for convex polytopes
2018/01/07 by Greenfeld, Rachel, Lev, Nir · 1 citation
#42B10 #52C22 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Metric Geometry (math.MG)
- Tiling sets and spectral sets over finite fields
2015/09/03 by Aten, C., Ayachi, B., Bau, E. +14 · 1 citation
#05D99 #46S10 #52C22 #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)
- Tiling, circle packing and exponential sums over finite fields
2015/07/21 by Haessig, C. D., Iosevich, A., Pakianathan, J. +2 · 1 citation
#37B50 #52C22 #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)
- Domino tilings of three-dimensional regions
2015/03/16 by Milet, Pedro H. · 1 citation
#05C70 #52C20 #52C22 #Combinatorics (math.CO) #FOS: Mathematics #Geometric Topology (math.GT) #Primary 05B45 #Secondary 57M25
- A candidate to the densest packing with equal balls in the Thurston\n geometries
2012/10/08 by J. Szirmai, Szirmai, Jen{\H}o, Szirmai, Jen{\\H}o · 1 citation
Engineering · Materials Science · Mathematics · #51M20 #52C17 #52C22 #53A35 #Advanced Materials and Mechanics #FOS: Mathematics #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Metric Geometry (math.MG) #Quasicrystal Structures and Properties
- Structure results for multiple tilings in 3D
2012/08/07 by Nick Gravin, Gravin, Nick, Mihail N. Kolountzakis +5 · 1 citation
Materials Science · Mathematics · #52C07 #52C22 #52C23 #Analytic and geometric function theory #Combinatorics (math.CO) #FOS: Mathematics #Metric Geometry (math.MG) #Point processes and geometric inequalities #Quasicrystal Structures and Properties
- The space of Penrose tilings and the non-commutative curve with homogeneous coordinate ring k/(y2)
2011/04/19 by S. Paul Smith, Smith, S. Paul · 1 citation
Mathematics · Physics and Astronomy · #14A22 #16E20 #16E50 #16S38 #16W50 #19K14 #52C20 #52C22 #58B34 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Rings and Algebras (math.RA)
- Complex Hadamard matrices and the Spectral Set Conjecture
2004/11/23 by Mihail N. Kolountzakis, Kolountzakis, Mihail N., Mate Matolcsi +2 · 9 citations
Engineering · Mathematics · #52C22 #68Q17 #Advanced Topics in Algebra #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Mathematical Analysis and Transform Methods #graph theory and CDMA systems #math.CA #math.CO #msc:52C22 #msc:68Q17
- Tiles with no spectra
2004/06/07 by Mihail N. Kolountzakis, Mate Matolcsi, Kolountzakis, Mihail N. +2 · 5 citations
Computer Science · Mathematics · #20K01 #42B99 #52C22 #Cellular Automata and Applications #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Nonlinear Dynamics and Pattern Formation #math.CA #math.CO #msc:20K01 #msc:42B99 #msc:52C22