Abstract
In this article the theory of Markov processes is described as an evolution on the space of probability measures. Following a brief historical account of its origins in physics, a mathematical formulation of the theory is given. Emphasis has been placed on the ergodic properties of Markov processes, and their presence is checked in a simple example.
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Bibliography
Elementary Texts
Karlin, S., and H. Taylor. 1975. A first course in stochastic processes. 2nd ed. New York: Academic Press.
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Stroock, D.W. (2018). Markov Processes. In: The New Palgrave Dictionary of Economics. Palgrave Macmillan, London. https://doi.org/10.1057/978-1-349-95189-5_2668
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DOI: https://doi.org/10.1057/978-1-349-95189-5_2668
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Publisher Name: Palgrave Macmillan, London
Print ISBN: 978-1-349-95188-8
Online ISBN: 978-1-349-95189-5
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