@article {
author = {Kahkeshani, Reza},
title = {On the Entropy Rate of a Random Walk on t-Designs},
journal = {Mathematics Interdisciplinary Research},
volume = {5},
number = {4},
pages = {295-301},
year = {2020},
publisher = {University of Kashan},
issn = {2538-3639},
eissn = {2476-4965},
doi = {10.22052/mir.2020.233084.1214},
abstract = {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.},
keywords = {random walk,Markov chain,design,entropy rate,stationary distribution},
url = {https://mir.kashanu.ac.ir/article_110784.html},
eprint = {https://mir.kashanu.ac.ir/article_110784_434d9ff15d7d3aedacef7e70a559e573.pdf}
}