4 papers · 1 filter
Large Scale Raman Spectrum Calculations in Defective 2D Materials using Deep Learning
Olivier Malenfant-Thuot, Dounia Shaaban Kabakibo, Simon Blackburn +2
We introduce a machine learning prediction workflow to study the impact of defects on the Raman response of 2D materials. By combining the use of machine-learned interatomic potent…
An upper bound on the per-tile entropy of ribbon tilings
Simon Blackburn, Yinsong Chen, Vladislav Kargin
This paper considers -ribbon tilings of general regions and their per-tile entropy (the binary logarithm of the number of tilings divided by the number of tiles). We show that t…
Tredoku Patterns
Simon R. Blackburn
Donald A. Preece gave two talks in 2013, in which he introduced the notion of tredoku patterns. These are certain configurations of diamond-shaped tiles, inspired by the sukodu-lik…
Exponent-Critical Groups
Simon R. Blackburn, William Cocke, Andrew Misseldine +1
We define and investigate the property of being `exponent-critical' for a finite group. A finite group is said to be exponent-critical if its exponent is not the least common multi…