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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
DNA
2007
Springer
159views Bioinformatics» more  DNA 2007»
13 years 10 months ago
Activatable Tiles: Compact, Robust Programmable Assembly and Other Applications
While algorithmic DNA self-assembly is, in theory, capable of forming complex patterns, its experimental demonstration has been limited by significant assembly errors. In this pa...
Urmi Majumder, Thomas H. LaBean, John H. Reif
DNA
2003
Springer
153views Bioinformatics» more  DNA 2003»
13 years 9 months ago
Proofreading Tile Sets: Error Correction for Algorithmic Self-Assembly
Abstract. For robust molecular implementation of tile-based algorithmic self-assembly, methods for reducing errors must be developed. Previous studies suggested that by control of ...
Erik Winfree, Renat Bekbolatov
NC
2008
120views Neural Networks» more  NC 2008»
13 years 4 months ago
Combining self-healing and proofreading in self-assembly
Molecular self-assembly is a promising approach to bottom-up fabrication of complex structures. A major impediment to the practical use of self-assembly to create complex structure...
David Soloveichik, Matthew Cook, Erik Winfree
ICALP
2009
Springer
14 years 4 months ago
High Complexity Tilings with Sparse Errors
Abstract. Tile sets and tilings of the plane appear in many topics ranging from logic (the Entscheidungsproblem) to physics (quasicrystals). The idea is to enforce some global prop...
Bruno Durand, Andrei E. Romashchenko, Alexander Sh...