Abstract
In an earlier paper [2], p. 148, dealing with properties of the energy of Markov processes, M. Rao and the author have shown that the so-called sector condition introduced by M. L. Silverstein [4], p. 17, is sufficient for the regularity of the limit potential. This paper will explain the meaning of the sector condition in relation to convergence in energy for certain classes of Markov processes.
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References
R.M. Blumenthal and R.K. rgetoor. Markov Processes and Potential Theory. Academic Press, New York, 1968.
Z.R. POP-STOJANOVIC and MURALI RAO. Some Results on Energy. Seminar on Stochastic Processes 1981, pp. 135–150. Birkhäuser, Boston, 1981.
z.R. Pop-Stojanovic and Murali Rao. Remarks on Energy. Seminar on Stochastic Processes 1982, pp. 229–235, Birkhäuser, Boston, 1983.
M.L. Silverstein. The Sector Condition implies that semipolar sets are quasi-polar. Z. Wahrscheinlichkeitstheorie verw. Gebiete, 41 (1977), 13–33.
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© 1986 Birkhäuser Boston, Inc.
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Pop-Stojanovic, Z.R. (1986). Convergence in Energy and the Sector Condition for Markov Processes. In: Çinlar, E., Chung, K.L., Getoor, R.K. (eds) Seminar on Stochastic Processes, 1984. Progress in Probability and Statistics, vol 9. Birkhäuser Boston. https://doi.org/10.1007/978-1-4684-6745-1_10
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DOI: https://doi.org/10.1007/978-1-4684-6745-1_10
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