Potential theory in probability


Placeholder. I am unfamiliar with potential theory a thing in itself. I keep running in to it, in Markov stochastic proccesses and in graphical models and would like to know that I understand the tools I am using properly. Some at least of the results seems to be terminological updates of words I know already, other perhaps not.

Doyle, Peter G, and J Laurie Snell. 1984. Random Walks and Electric Networks. Washington, D.C.: Mathematical Association of America. http://arxiv.org/abs/math/0001057.

Kallenberg, Olav. 2002. Foundations of Modern Probability. 2nd ed. Probability and Its Applications. New York: Springer-Verlag. https://doi.org/10.1007/978-1-4757-4015-8.

Kjærulff, Uffe B., and Anders L. Madsen. 2008. Bayesian Networks and Influence Diagrams. Information Science and Statistics. New York, NY: Springer New York. https://doi.org/10.1007/978-0-387-74101-7.

Kuehn, Christian. 2008. “Introduction to Potential Theory via Applications,” April. http://arxiv.org/abs/0804.4689.

Privault, Nicolas. 2008. “Potential Theory in Classical Probability.” In Quantum Potential Theory, edited by Uwe Franz and Michael Schürmann, 1954:3–59. Berlin, Heidelberg: Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-540-69365-9_2.