activity
19982023
most citedOn NIP and invariant measures

14 citations · 48 across the 32 of their papers we have counts for

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Showing 2023Show all

7 papers · 1 filter

eess.SY2023★ 1 cited

Identifiable specializations for ODE models

Alexey Ovchinnikov, Anand Pillay, Gleb Pogudin +1

The parameter identifiability problem for a dynamical system is to determine whether the parameters of the system can be found from data for the outputs of the system. Verifying wh…

math.LO2023★ 1 cited

Compactifications of pseudofinite and pseudo-amenable groups

Gabriel Conant, Ehud Hrushovski, Anand Pillay

We first give simplified and corrected accounts of some results in \cite{PiRCP} on compactifications of pseudofinite groups. For instance, we use a classical theorem of Turing \cit…

math.AG2023

Picard-Vessiot extensions, linear differential algebraic groups and their torsors

David Meretzky, Anand Pillay

Let K be differential field with algebraically closed field of constants. Let K^diff be a differential closure of K, and L the (iterated) Picard-Vessiot closure of K inside K^diff.…

math.LO2023

Forking and invariant measures in NIP theories

Anand Pillay, Atticus Stonestrom

We give an example of an NIP theory in which there is a formula that does not fork over but has measure under any global -invariant Keisler measu…

math.LO2023

On definable groups and D-group in certain fields with a generic derivation

Ya'acov Peterzil, Anand Pillay, Francoise Point

We continue our earlier study of finite dimensional definable groups in models of the the model companion of an o-minimal L-theory T expanded by a generic derivation as in [F-K]. W…

math.GR2023

Open subgroups of -adic algebraic groups

Anand Pillay, Ningyuan Yao

In \cite{Pillay} and more formally in \cite{Onshuus-Pillay} it was asked whether open subgroups of -adic algebraic groups are (-adic) semialgebraic, equivalently, definable i…