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19 papers
A 2-adjunction between representations and preorder morphisms
Paul Brunet
The recently introduced model of representations has been defined and motivated somewhat ex-nihilo. In this document, I will show that representations are related to a more ''class…
Traces of functions in Besov spaces in Gibbs environment
Quentin Rible, Stéphane Seuret
This paper investigates the traces of functions belonging to the inhomogeneous Besov spaces B p,q , where is a product of capacities defined as powers of Gibbs measures. We…
A non-vanishing property for tensor products of wavelets
Quentin Rible, Stéphane Seuret
We prove that, given a wavelet , it is possible to choose some multi-integers such that, for every $x=(x_1,...,…
Artificial Intelligence / Human Intelligence: Who Controls Whom?
Charlotte Jacquemot
Using the example of the film 2001: A Space Odyssey, this chapter illustrates the challenges posed by an AI capable of making decisions that go against human interests. But are hum…
Representations
Paul Brunet
The formal analysis of automated systems is an important and growing industry. This activity routinely requires new verification frameworks to be developed to tackle new programmin…
Hitting Probabilities and the Ekstr{ö}m-Persson conjecture
Esa Järvenpää, Markus Myllyoja, Stéphane Seuret
We consider the Ekst\''om-Persson conjecture concerning the value of the Hausdorff dimension of random covering sets formed by balls with radii and centres…