L. van den Dries

most citedThe theory of maximal Hardy fields

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math.AC2024

Constructing $ω$ -free Hardy fields

Matthias Aschenbrenner, Lou van den Dries, Joris van der Hoeven

We show that every Hardy field extends to an $ω$ -free Hardy field. This result relates to classical oscillation criteria for second-order homogeneous linear differential equations.…

math.AC2024

Normalizing Asymptotic Differential Equations

Matthias Aschenbrenner, Lou van den Dries, Joris van der Hoeven

We define the universal exponential extension of an algebraically closed differential field and investigate its properties in the presence of a nice valuation and in connection wit…

Constructing ω-free Hardy fields

Normalizing Asymptotic Differential Equations

Constructing $ω$ -free Hardy fields