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math.CO2023★ 3 cited
Undecidability of translational monotilings
Rachel Greenfeld, Terence Tao
In the 60's, Berger famously showed that translational tilings of with multiple tiles are algorithmically undecidable. Recently, Bhattacharya proved the decidability…
math.CA2023
Tiling, spectrality and aperiodicity of connected sets
Rachel Greenfeld, Mihail N. Kolountzakis
Let be a set of finite measure. The periodic tiling conjecture suggests that if tiles by translations then it admits at least one periodi…