(>>6より) https://arxiv.org/pdf/2004.13108.pdf PROBABILISTIC SZPIRO, BABY SZPIRO, AND EXPLICIT SZPIRO FROM MOCHIZUKI'S COROLLARY 3.12 TAYLOR DUPUY AND ANTON HILADO Date: April 30, 2020.
Abstract. In particular, for an elliptic curve in initial theta data we show how to derive uniform Szpiro (with explicit numerical constants). The inequalities we get will be strictly weaker than [Moc15b, Theorem 1.10] but the proofs are more transparent, modifiable, and user friendly. All of these inequalities are derived from an probabilistic version of [Moc15a, Corollary 3.12] formulated in [DH20b] based on the notion of random measurable sets.