Categorial Independence and Lévy Processes

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2022
• ISSN: 1815-0659
• Main Authors: Gerhold, Malte, Lachs, Stephanie, Schürmann, Michael
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2022
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211713
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Categorial Independence and Lévy Processes. Malte Gerhold, Stephanie Lachs and Michael Schürmann. SIGMA 18 (2022), 075, 27 pages

We generalize Franz's independence in tensor categories with inclusions from two morphisms (which represent generalized random variables) to arbitrary ordered families of morphisms. We will see that this only works consistently if the unit object is an initial object, in which case the inclusio...