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math.LO2022★ 1 cited
The degree of nonminimality is at most two
James Freitag, Rémi Jaoui, Rahim Moosa
It is shown that if is a complete type of Lascar rank at least 2 over , in the theory of differentially closed fields of characteristic zero, then there exists a pair of rea…
math.LO2016
Painleve equations, vector fields, and ranks in differential fields
James Freitag
Model theoretic ranks of solutions to Painleve equations are calculated, and the type of the generic solution of the second Painleve equation is shown to be disintegrated, strength…