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math.CO2021★ 1 cited
A combinatorial proof of a sumset conjecture of Furstenberg
Daniel Glasscock, Joel Moreira, Florian K. Richter
We give a new proof of a sumset conjecture of Furstenberg that was first proved by Hochman and Shmerkin in 2012: if is irrational and and are -…
math.DS2021
Additive averages of multiplicative correlation sequences and applications
Sebastián Donoso, Anh N. Le, Joel Moreira +1
We study sets of recurrence, in both measurable and topological settings, for actions of and . In particular, we show that autocorre…