On the Entropy Rate of a Random Walk on t-Designs

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Kahkeshani Reza

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Journal Paper

Paper Information

Journal: Mathematics Interdisciplinary Research Year:2020 | Volume:5 | Issue:4 Page(s): 295-301

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Information Journal Paper

Title

On the Entropy Rate of a Random Walk on t-Designs

Author(s)

Kahkeshani Reza | Issue Writer Certificate

Keywords

random walk

Markov chain

design

entropy rate

stationary distribution

Abstract

In 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.

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