%0 Journal Article
%T On the Entropy Rate of a Random Walk on t-Designs
%J Mathematics Interdisciplinary Research
%I University of Kashan
%Z 2538-3639
%A Kahkeshani, Reza
%D 2020
%\ 12/01/2020
%V 5
%N 4
%P 295-301
%! On the Entropy Rate of a Random Walk on t-Designs
%K random walk
%K Markov chain
%K design
%K entropy rate
%K stationary distribution
%R 10.22052/mir.2020.233084.1214
%X In this paper, a random walk onĀ 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.
%U https://mir.kashanu.ac.ir/article_110784_434d9ff15d7d3aedacef7e70a559e573.pdf