17 citations · 33 across the 12 of their papers we have counts for
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math.DS2016★ 17 cited
Products of two Cantor sets
Yuki Takahashi
We consider products of two Cantor sets, and obtain the optimal estimates in terms of their thickness that guarantee that their product is an interval. This problem is motivated by…
math-ph2016★ 14 cited
Quantum and Spectral Properties of the Labyrinth Model
Yuki Takahashi
We consider the Labyrinth model, which is a two-dimensional quasicrystal model. We show that the spectrum of this model, which is known to be a product of two Cantor sets, is an in…