Scaling Limits for the Gibbs States on Distance-Regular Graphs with Classical Parameters

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2021
• Main Authors: Koohestani, Masoumeh, Obata, Nobuaki, Tanaka, Hajime
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2021
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211423
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Scaling Limits for the Gibbs States on Distance-Regular Graphs with Classical Parameters. Masoumeh Koohestani, Nobuaki Obata and Hajime Tanaka. SIGMA 17 (2021), 104, 22 pages

We determine the possible scaling limits in the quantum central limit theorem with respect to the Gibbs state, for a growing distance-regular graph that has so-called classical parameters with base unequal to one. We also describe the corresponding weak limits of the normalized spectral distribution...