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math.PR2025
How not to scramble a Rubik's cube
Thomas Fernique
We model the scrambling of a Rubik's cube by a Markov chain and introduce a stopping time which is a quite natural candidate to be a strong uniform time. This may pave the way…
math.MG2025
On Dense Tetrahedra in Binary Sphere Packings
Thomas Fernique, Daria Pchelina
This paper considers the density of tetrahedra arising in a specific decomposition of packings of unequal spheres in . It aims to extend a bound obtained in 2D in the…