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  1. Properties of Markov chains - Mathematics Stack Exchange

    We covered Markov chains in class and after going through the details, I still have a few questions. (I encourage you to give short answers to the question, as this may become very cumbersome other...

  2. Intuitive meaning of recurrent states in a Markov chain

    Jun 6, 2025 · In a Markov process, a null recurrent state is returned to, but just not often enough for the return to be classified as periodic with any finite period. (eg. returning, on average once every 4.5 …

  3. What is the difference between all types of Markov Chains?

    Apr 25, 2017 · A Markov process is basically a stochastic process in which the past history of the process is irrelevant if you know the current system state. In other words, all information about the …

  4. property about transient and recurrent states of a Markov chain

    Dec 25, 2020 · All states of a finite irreducible Markov chain are recurrent. As irreducible Markov chains have one class, statement $1$ implies all states are either transient or recurrent.

  5. what is the difference between a markov chain and a random walk?

    Jun 17, 2022 · I think Surb means any Markov Chain is a random walk with Markov property and an initial distribution. By "converse" he probably means given any random walk , you cannot conclude …

  6. reference request - What are some modern books on Markov Chains …

    I would like to know what books people currently like in Markov Chains (with syllabus comprising discrete MC, stationary distributions, etc.), that contain many good exercises. Some such book on

  7. probability - How to prove that a Markov chain is transient ...

    Oct 5, 2023 · probability probability-theory solution-verification markov-chains random-walk See similar questions with these tags.

  8. probability - Understanding the "Strength" of the Markov Property ...

    Jan 13, 2024 · The strong markov property is an altogether different animal because it requires deep understanding of what a continuous time markov chain is. Yes, brownian motion is a ct mc but that's …

  9. Why Markov matrices always have 1 as an eigenvalue

    Now in markov chain a steady state vector ( when effect multiplying or any kind of linear transformation on prob state matrix yield same vector) : qp=q where p is prob state transition matrix this means Y = …

  10. Proof of the Markov Property - Mathematics Stack Exchange

    Feb 8, 2023 · You cannot "prove" Markov property, unless you are given some property of your chain beforehand (Markov property is often a part of the definition of a Markov chain)