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13 papers · 1 filter
Hyperdefinability of the Lie model for approximate subgroups
Beatrice Degasperi
Hrushovski proved the Lie model theorem in full generality with model theoretic methods. The theorem states that for every approximate group there exists a generalized definable lo…
A purity theorem for Mahler equations
Colin Faverjon, Julien Roques
The principal aim of this paper is to establish a purity theorem for Mahler functions that is reminiscent of famous purity theorems for G-functions by D. and G. Chudnovsky and for…
Multivariate Functional Data Analysis Uncovers Behavioral Fingerprints in Invertebrate Locomotor Response to Micropollutants
George Ruck, Jean-Baptiste Aubin, Alexandre Delétang +3
The need for effective biomonitoring in wastewater has become clear due to the impracticality of continuously tracking all chemicals and emerging contaminants in the aquatic exposo…
Omega-categorical groups and rings of finite dimension
Moreno Invitti
We prove that a finite-dimensional omega-categorical group is finite-by-abelian-by-finite and that a finite-dimensional omega-categorical ring is virtually finite-by-null.
Cut-free Deductive System for Continuous Intuitionistic Logic
Guillaume Geoffroy
We introduce and develop propositional continuous intuitionistic logic and propositional continuous affine logic via complete algebraic semantics. Our approach centres on AC-algebr…
Neural Field Equations and Hawkes processes: long-term stability of traveling wave profiles in the neutral case
Eric Luçon, Christophe Poquet
We consider the long-time behavior of a population of interacting Hawkes processes on the real line, with spatial extension. The large population behavior of the system is governed…