Kaoru Sano

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20242026

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math.CO2025

Rectangulations avoiding a pattern

Kaoru Sano

Fix a strong rectangulation pattern $P$ of size $L$ . We show that the growth constant of the class of strong rectangulations avoiding $P$ is strictly smaller than $Λ = 27/2$ , the gro…

math.NT2025

The number of rational iterated preimages of the origin under unicritical polynomial maps

Kaoru Sano

We study rational iterated preimages of the origin under unicritical maps $f_{d, c} (x) = x^{d} + c$ . Earlier works of Faber--Hutz--Stoll and Hutz--Hyde--Krause established finiteness and…