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math.GR2021
Complexity and randomness in the Heisenberg groups (and beyond)
Persi Diaconis, Maryanthe Malliaris
By studying the commuting graphs of conjugacy classes of the sequence of Heisenberg groups and their limit we find pseudo-random behavior (and the rando…
math.LO2021
Some simple theories from a Boolean algebra point of view
M. Malliaris, S. Shelah
We find a strong separation between two natural families of simple rank one theories in Keisler's order: the theories reflecting graph sequences, which witness tha…