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math.CO2026
The 1-2-3 conjecture for polygonal tilings
Alison Charlesworth, Christopher Ramsey, Nicolae Strungaru
The 1-2-3 conjecture has been solved positively in 2024 for finite graphs and by extension for infinite graphs which are locally finite. The solution is non-constructive, and findi…
math.DS2026
On the spectrum of non-ergodic measures
Michael Francis, Christopher Ramsey, Nicolae Strungaru
Consider a topological dynamical system where the group is abelian and the topologies are locally compact and second-countable. Given an invariant measure for this system, we show…