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A. Kalikova. Statistical Analysis Of Random Walks On Network.pdf

Journal-AITU_5vol-77-83.pdf
Preview of A. Kalikova. Statistical analysis of random walks on network
🔗 Source: sj.astanait.edu.kz
📊 Size: 2.64 MB
📄 Pages: 7 pages
⬇️ Downloads: 484

Summary

Random walks are a fundamental dynamic process used to model various situations in mathematics, physics, and informatics. The paper surveys different aspects of the theory of random walks on graphs and discusses estimates of important parameters. It aims to derive simplified analytical expressions for the distribution of hitting time, commute time, and cover time for larger values of n. The paper also presents the probability mass function and cumulative distribution function for hitting time and commute time. The author uses a Markov chain approach to calculate the hitting time and provides an example of calculating hitting time using a transition matrix. Simulations are run in MATLAB to verify the results, showing that the probability mass function and cumulative distribution function of hitting time match the equation results.

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Description

Random walks are a fundamental dynamic process used to model various situations in mathematics, physics, and informatics.

Technical Information

  • File Format: PDF
  • File Size: 2.64 MB
  • Pages: 7
  • Language: EN
  • Total Downloads: 484
  • Last Updated: 5 days ago

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