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Part of the book series: Progress in Probability and Statistics ((PRPR,volume 5))

Abstract

This paper contains a few remarks on results given in [2] and [4]. In [4], the authors have obtained some results on energy by using such probabilistic tools as sub-Markov resolvents, Revuz measures [5], and additive functionals. These tools are more general than Dirichlet space techniques and kernel theory customarily used when dealing with the concept of energy.

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References

  1. R.M. Blumenthal and R.K. Getoor. Markov Processes and Potential Theory. Academic Press, New York, 1968.

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  2. R.K. Getoor and M.J. Sharpe. Some remarks on energy and duality. To appear.

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  3. J. Glover. Energy and the maximum principle for nonsymmetric Hunt processes. Theory of Probability and its Applications, 26 (1981), 757–768.

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  4. Z.R. Pop-Stojanovic and K.M. Rao. Some results on energy. Seminar on Stochastic Processes, 1981, 135–150. Birkhäuser, Boston, 1981.

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  5. D. Revuz. Mesures associées à fonctionnelles additive de Markov. Trans. Amer. Math. Soc. 148 (1970), 501–531.

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© 1983 Birkhäuser, Boston, Inc.

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Pop-Stojanovic, Z.R., Rao, K.M. (1983). Remarks on Energy. In: Çinlar, E., Chung, K.L., Getoor, R.K. (eds) Seminar on Stochastic Processes, 1982. Progress in Probability and Statistics, vol 5. Birkhäuser Boston. https://doi.org/10.1007/978-1-4684-0540-8_12

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  • DOI: https://doi.org/10.1007/978-1-4684-0540-8_12

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-0-8176-3131-4

  • Online ISBN: 978-1-4684-0540-8

  • eBook Packages: Springer Book Archive

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