4 citations · 5 across the 8 of their papers we have counts for
8 papers · 1 filter
Truncation Structures
Lou van den Dries
We characterize intrinsically the truncation structures on valued fields arising from embeddings into Hahn fields with truncation closed image.
Short Hardy fields
Matthias Aschenbrenner, Lou van den Dries
Differentially algebraic Hardy field extensions of short Hardy fields are short. This is proved in the more general setting of -fields. As an application we extend a theorem of…
On a Differential Intermediate Value Property
Matthias Aschenbrenner, Lou van den Dries, Joris van der Hoeven
Liouville closed -fields are ordered differential fields whose ordering and derivation interact in a natural way and where every linear differential equation of order has a…
Hardy fields, the intermediate value property, and -freeness
Matthias Aschenbrenner, Lou van den Dries, Joris van der Hoeven
We discuss the conjecture that every maximal Hardy field has the Intermediate Value Property for differential polynomials, and its equivalence to the statement that all maximal Har…
Logarithmic Hyperseries
Lou van den Dries, Joris van der Hoeven, Elliot Kaplan
We define the field of logarithmic hyperseries, construct on natural operations of differentiation, integration, and composition, establish the basic prop…
Homogeneous Universal H-fields
Lou van den Dries, Philip Ehrlich
We consider derivations on Conway's field of surreal numbers such that the ordered differential field has constant field $\mathbb{…