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math.NA2023
Harmonic functions on finitely-connected tori
Chiu-Yen Kao, Braxton Osting, Édouard Oudet
In this paper, we prove a Logarithmic Conjugation Theorem on finitely-connected tori. The theorem states that a harmonic function can be written as the real part of a function whos…
stat.ME2023
Observational Causality Testing
Brian Knaeble, Braxton Osting, Placede Tshiaba
In prior work we have introduced an asymptotic threshold of sufficient randomness for causal inference from observational data. In this paper we extend that prior work in three mai…