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44 papers · 1 filter
Commuting quasi-interpolators and Maxwell compactness for a polytopal de Rham complex
Théophile Chaumont-Frelet, Jérôme Droniou, Simon Lemaire
We establish Maxwell compactness results for the Discrete De Rham (DDR) polytopal complex: sequences in this polytopal complex with bounded discrete …
Euclid preparation. Cosmology Likelihood for Observables in Euclid (CLOE). 6: Impact of systematic uncertainties on the cosmological analysis
Euclid Collaboration, L. Blot, K. Tanidis +309
Extracting cosmological information from the Euclid galaxy survey will require modelling numerous systematic effects during the inference process. This implies varying a large numb…
Confluence of the Node-Domination and Edge-Domination Hypergraph Rewrite Rules
Antoine Amarilli, Mikaël Monet, Rémi De Pretto
In this note, we study two rewrite rules on hypergraphs, called edge-domination and node-domination, and show that they are confluent. These rules are rather natural and commonly u…
Euclid preparation. Cosmology Likelihood for Observables in Euclid (CLOE). 4: Validation and Performance
Euclid Collaboration, M. Martinelli, A. Pezzotta +334
The Euclid satellite will provide data on the clustering of galaxies and on the distortion of their measured shapes, which can be used to constrain and test the cosmological model.…
Cosmology Likelihood for Observables in \Euclid (CLOE). 1. Theoretical recipe
Euclid Collaboration, V. F. Cardone, S. Joudaki +323
As the statistical precision of cosmological measurements increases, the accuracy of the theoretical description of these measurements needs to increase correspondingly in order to…
Fourier interpolation in dimensions 3 and 4 and real-variable Kloosterman sums
Danylo Radchenko, Qihang Sun
We give a construction of radial Fourier interpolation formulas in dimensions 3 and 4 using Maass--Poincaré type series. As a corollary we obtain explicit formulas for the basis fu…