Classical and Quantum Distances

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Independent Research Fund Denmark
31 Aug 2022

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Project funded by Independent Research Fund Denmark (DFF-Forskningsprojekt1), grant 9040-00107A. Participating organisations named by the source: SDU University of Southern Denmark. Runs n/a to 2022-08-31. Keywords: Deformed Lie groups, Metric spaces, Quantum metric spaces, Quasi-isometry, Nilpotent Lie groups. Source: OpenAIRE Graph, from the funder's project data (collected by OpenAIRE on 2025-08-01); national funding data, not CORDIS. Abstract given by the source: Begrebet afstand er allestedsnærværende i vores hverdag, og den matematiske teori om metriske rum giver en abstrakt måde at håndtere afstandsbegrebet på. Teorien giver en meget generel ramme som dækker næsten alle tænkelige afstandsbegreber, og en del af målet i dette projekt er at undersøge egenskaberne af metriske rum som ser ens ud når man ser dem på stor afstand - de såkaldt kvasi-isometriske rum. Ydermere vil vi undersøge de langt mere uudforskede kvante-metriske rum, der, som navnet antyder, er tæt knyttet til den matematiske teori der ligger til grund for kvante-mekanikken. For de kvante-metriske rum er afstandsbegrebet dog langt mere subtilt end det er for klassiske metriske rum, og det er ukendt om nogle af de mest fundamentale eksempler på kvante-rum faktisk tillader et naturligt kvante-afstands-begreb, og en del af projektet er at afklare dette.

Original source.

Source: OpenAIRE Graph: projects of national funders, OpenAIRE, from the project data of Independent Research Fund Denmark. Retrieved 2026-11-02. Licence: Creative Commons Attribution 4.0 (OpenAIRE Graph). Selected metadata, adapted presentation; the publisher's record is authoritative. No endorsement by the source is implied. Licence: Creative Commons Attribution 4.0 (CC BY 4.0).

AI-assisted summary: The project "Classical and Quantum Distances" is funded by the Independent Research Fund Denmark and involves the University of Southern Denmark. It aims to explore properties of metric spaces and quantum metric spaces, focusing on quasi-isometric spaces. Suggested technology pillar: simulation. Generated by AI from the public source text; it may contain errors and the original source is authoritative.

Source: explore.openaire.eu · checked 2 Nov 2026 · AI-assisted summary