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  1. Confusion regarding discrete diffusion and Markov processes

    Feb 11, 2026 · A complication is that we're working in the time-inhomogeneous case; I found Norris' Markov Chains to be a good reference for the time-homogeneous case and worked out Chapters 1 …

  2. Question about the definition of Markov chain and transition ...

    Feb 8, 2026 · 0 On page 497 of Introduction to Probability by Blitzstein and Hwang, they define the Markov chain as follows:

  3. probability theory - Question about the definition of Markov kernel ...

    Dec 8, 2022 · To sum up, Markov kernels are a formal way to set up conditional distributions. (2) is precisely the part of the definition that captures this aspect, while (1) is needed for technical reasons …

  4. stochastic processes - Mathematics Stack Exchange

    Sep 30, 2023 · A Gauss-Markov process is a random process that is both a Gaussian process and a Markov process. What is the difference between them? Are there Gauss-Markov processes that are …

  5. 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 …

  6. Markov process vs. markov chain vs. random process vs. stochastic ...

    Markov processes and, consequently, Markov chains are both examples of stochastic processes. Random process and stochastic process are completely interchangeable (at least in many books on …

  7. 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)

  8. Ergodic Markov chains and the ergodic theorem

    Sep 27, 2024 · This mapping between deterministic systems and Markov chain is a useful bridge. For example in the study of dynamical systems, this allows you to reduce the study of chaotic maps to …

  9. What is a Markov Chain? - Mathematics Stack Exchange

    Jul 23, 2010 · 7 Markov chains, especially hidden Markov models are hugely important in computation linguistics. A hidden Markov model is one where we can't directly view the state, but we do have …

  10. Markov Property of a Ito Process - Mathematics Stack Exchange

    Mar 31, 2024 · Markov Property of a Ito Process Ask Question Asked 1 year, 11 months ago Modified 1 year, 10 months ago