2 citations · 3 across the 6 of their papers we have counts for
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Dimension theory for the asymptotic couple of the field of logarithmic transseries
Allen Gehret, Elliot Kaplan, Nigel Pynn-Coates
In this paper we completely characterize all dimension functions on all models of the theory of the asymptotic couple of the field of logarithmic transseries (Dimension…
Distality in valued fields and related structures
Matthias Aschenbrenner, Artem Chernikov, Allen Gehret +1
We investigate distality and existence of distal expansions in valued fields and related structures. In particular, we characterize distality in a large class of ordered abelian gr…
Hamel Spaces and Distal Expansions
Allen Gehret, Travis Nell
In this note, we construct a distal expansion for the structure , where is a dense -vector space basis of (a s…
A tale of two Liouville closures
Allen Gehret
An -field is a type of ordered valued differential field with a natural interaction between ordering, valuation, and derivation. The main examples are Hardy fields and fields of…
NIP for the Asymptotic Couple of the Field of Logarithmic Transseries
Allen Gehret
The derivation on the differential-valued field of logarithmic transseries induces on its value group a certain map . The structure $Γ= (Γ_{\log},…