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Markov Processes

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Applied Linear Algebra and Matrix Methods
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Abstract

A Markov process is a dynamical system where movement within the system consists of transitions between a finite set of states. These transitions are governed by prescribed probabilistic rules and are memoryless in the sense that the transition to a new state depends only on the current state of the system and not on the entire transition history. We consider only finite-state, discrete-time Markov processes.

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References

  1. Isaacson, Dean L., and Richard W. Madsen, Markov Chains: Theory and Applications, John Wiley & Sons, New York, 1976.

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  2. Noble, Safiya Umoja, Algorithms of Oppression: How Search Engines Reinforce Racism, New York University Press, New York, 2018.

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© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG

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Feeman, T.G. (2023). Markov Processes. In: Applied Linear Algebra and Matrix Methods. Springer Undergraduate Texts in Mathematics and Technology. Springer, Cham. https://doi.org/10.1007/978-3-031-39562-8_8

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