2024-10-142024-10-142022-10-27Koestler, C. and Krishnan, A. (2022) 'Markovianity and the Thompson Group F', Symmetry, Integrability and Geometry: Methods and Applications, 18(083), available: https://doi.org/10.3842/SIGMA.2022.083.1815-0659https://dspace.mic.ul.ie/handle/10395/3338We show that representations of the Thompson group F in the automorphisms of a noncommutative probability space yield a large class of bilateral stationary noncommutative Markov processes. As a partial converse, bilateral stationary Markov processes in tensor dilation form yield representations of F. As an application, and building on a result of Kuemmerer, we canonically associate a representation of F to a bilateral stationary Markov process in classical probability.engOpen Accesshttps://www.emis.de/journals/SIGMA/2022/083/Noncommutative stationary Markov processesRepresentations of Thompson group FArticle10.3842/SIGMA.2022.083