2016/04/18 by Servet Martı́nez, Servet Martinez, Martinez, Servet
Mathematics · #60J10 #92D10 #Advanced Topics in Algebra #Advanced Topology and Set Theory #FOS: Mathematics #Probability (math.PR) #Stochastic processes and statistical mechanics #math.PR #msc:60J10 #msc:92D10
paper · pdf · doi:10.48550/arxiv.1604.05124
arxiv created 2016/04/18 · openalex publication_date 2016/04/18 · arxiv updated 2016/04/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the discrete-time evolution of a transformation on a set of probability measures that is up-dated combining independently the marginals on the atoms of partitions. This model was recently introduced in Baake, Baake and Salamat (Discr. and contin. dynam. syst. 36, 2016) for continuous-time evolution and generalizes previous ones based upon dyadic partitions. We associate to the discrete-time evolution a natural Markov chain and describe its quasi-stationary behavior retrieving all the results we recently found for dyadic partitions.