This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Notes on Chapter 14
R. S. Martin Minimal positive harmonic functions, Trans. Amer. Math. Soc. 49 (1941), 137–172.
T. Watanabe On the theory of Martin boundaries induced by countable Markov processes, Mem. Coll. Sci. Univ. Kyoto Ser. A Math. 33 (1960/1961), 39–108.
G. A. Hunt Markoff chains and Martin boundaries, Ill. J. Math. 4 (1960), 316–340.
J. L. Doob Conditional Brownian motion and the boundary limits of harmonic functions, Bull. Soc. Math. France 85 (1957) 431–458.
G. A. Hunt Markoff chains and Martin boundaries, Ill. J. Math. 4 (1960), 316–340.
K. L. Chung On the Martin Boundary for Markov chains, Proc. Nat. Acad. Sci. 48 (1962), 963–968.
J. L. Doob Conditional Brownian motion and the boundary limits of harmonic functions, Bull. Soc. Math. France 85 (1957) 431–458.
H. Kunita and T. Watanabe Markov processes and Martin boundaries I, Ill. J. Math. 9 (1965), 485–526.
P. A. Meyer Processus de Markov: la frontière de Martin, Lecture Notes in Mathematics, 77, Springer-Verlag, 1967.
G. Mokobodzki Dualité formelle et représentation intégrale des fonctions excessives, Actes du Congrés International des mathématiciens, Nice, 1970, tome 2, 531–535, Gauthier-Villars, Paris, 1971.
Rights and permissions
Copyright information
© 2005 Springer Science+Business Media Inc.
About this chapter
Cite this chapter
(2005). The Martin Boundary. In: Markov Processes, Brownian Motion, and Time Symmetry. Grundlehren der mathematischen Wissenschaften, vol 249. Springer, New York, NY. https://doi.org/10.1007/0-387-28696-9_14
Download citation
DOI: https://doi.org/10.1007/0-387-28696-9_14
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-22026-0
Online ISBN: 978-0-387-28696-9
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)