University of KashanMathematics Interdisciplinary Research2538-36395420201201On the Entropy Rate of a Random Walk on t-Designs29530111078410.22052/mir.2020.233084.1214ENRezaKahkeshaniDepartment of Pure Mathematics,
Faculty of Mathematical Sciences, University of Kashan, Kashan, I. R. IranJournal Article20200528In this paper, a random walk on t-designs are considered. We assign a weight to each block and walk randomly on the vertices with a probability proportional to the weight of blocks. This stochastic process is a Markov chain. We obtain a stationary distribution for this process and compute its entropy rate. It is seen that, when the blocks have the same weight, the uniform distribution on the vertices is a stationary distribution and the entropy rate depends only on the number of vertices.https://mir.kashanu.ac.ir/article_110784_434d9ff15d7d3aedacef7e70a559e573.pdf