Orthogonal Dualities of Markov Processes and Unitary Symmetries

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2019
• Main Authors: Carinci, G., Franceschini, C., Giardinà, C., Groenevelt, W., Redig, F.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210242
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Orthogonal Dualities of Markov Processes and Unitary Symmetries / G. Carinci, C. Franceschini, C. Giardinà, W. Groenevelt, F. Redig // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 32 назв. — англ.

We study self-duality for interacting particle systems, where the particles move as continuous-time random walkers having either exclusion interaction or inclusion interaction. We show that orthogonal self-dualities arise from unitary symmetries of the Markov generator. For these symmetries, we prov...