60 citations
- Université Paris-SaclayFR43 papers
- Centre National de la Recherche ScientifiqueFR36 papers
- CentraleSupélecFR17 papers
- Institut national de recherche en sciences et technologies du numériqueFR14 papers
- École Normale Supérieure - PSLFR11 papers
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- Laboratoire Lorrain de Recherche en Informatique et ses ApplicationsFR8 papers
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4 papers · 1 filter
Continuous R-valuations
Jean Goubault-Larrecq, Xiaodong Jia
We introduce continuous -valuations on directed-complete posets (dcpos, for short), as a generalization of continuous valuations in domain theory, by extending values of continu…
A cone-theoretic barycenter existence theorem
Jean Goubault-Larrecq, Xiaodong Jia
We show that every continuous valuation on a locally convex, locally convex-compact, sober topological cone has a barycenter. This barycenter is unique, and the bary…
Statures and Sobrification Ranks of Noetherian Spaces
Jean Goubault-Larrecq, Bastien Laboureix
There is a rich theory of maximal order types of well-partial-orders (wpos), pioneered by de Jongh and Parikh (1977) and Schmidt (1981). Every wpo is Noetherian in its Alexandroff…
Complete Quasi-Metrics for Hyperspaces, Continuous Valuations, and Previsions
Jean Goubault-Larrecq
The Kantorovich-Rubinshtein metric is an -like metric on spaces of probability distributions that enjoys several serendipitous properties. It is complete separable if the unde…