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LATIN
2010
Springer
13 years 11 months ago
Tilings Robust to Errors
We study the error robustness of tilings of the plane. The fundamental question is the following: given a tileset, what happens if we allow a small probability of errors? Are the o...
Alexis Ballier, Bruno Durand, Emmanuel Jeandel
TIT
2002
60views more  TIT 2002»
13 years 4 months ago
A Zador-like formula for quantizers based on periodic tilings
We consider Zador's asymptotic formula for the distortion-rate function for a variable-rate vector quantizer in the high-rate case. This formula involves the differential ent...
N. J. A. Sloane, Vinay A. Vaishampayan
MOC
2002
101views more  MOC 2002»
13 years 4 months ago
Proving the deterministic period breaking of linear congruential generators using two tile quasicrystals
We describe the design of a family of aperiodic PRNGs (APRNGs). We show how a one-dimensional two tile cut and project quasicrystal (2TQC) used in conjunction with LCGs in an APRNG...
Louis-Sebastien Guimond, Jiri Patera
CPM
2007
Springer
84views Combinatorics» more  CPM 2007»
13 years 11 months ago
Tiling Periodicity
Juhani Karhumäki, Yury Lifshits, Wojciech Ryt...
DLT
2010
13 years 6 months ago
Periodicity in Tilings
Emmanuel Jeandel, Pascal Vanier