Subcritical branching diffusions

H. Hering

Compositio Mathematica (1977)

  • Volume: 34, Issue: 3, page 289-306
  • ISSN: 0010-437X

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Hering, H.. "Subcritical branching diffusions." Compositio Mathematica 34.3 (1977): 289-306. <http://eudml.org/doc/89329>.

@article{Hering1977,
author = {Hering, H.},
journal = {Compositio Mathematica},
language = {eng},
number = {3},
pages = {289-306},
publisher = {Noordhoff International Publishing},
title = {Subcritical branching diffusions},
url = {http://eudml.org/doc/89329},
volume = {34},
year = {1977},
}

TY - JOUR
AU - Hering, H.
TI - Subcritical branching diffusions
JO - Compositio Mathematica
PY - 1977
PB - Noordhoff International Publishing
VL - 34
IS - 3
SP - 289
EP - 306
LA - eng
UR - http://eudml.org/doc/89329
ER -

References

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  1. [1] S. Agmon: Lectures on Elliptic Boundary Value Problems. Van Nostrand, Princeton1965. Zbl0142.37401MR178246
  2. [2] S. Asmussen and H. Hering: Strong limit theorems for general supercritical branching processes with applications to branching diffusions. Z. Wahrscheinlichkeitstheorie verw. Geb.36 (1976) 195-212. Zbl0325.60081MR420889
  3. [3] K.B. Athreya: On the supercritical one dimensional age dependent branching processes. Ann. Math. Statist.40 (1969) 743-763. Zbl0175.46603MR243628
  4. [4] T.E. Harris: The Theory of Branching Processes. Springer Verlag, Berlin-Göttingen- Heidelberg1963. Zbl0117.13002MR163361
  5. [5] H. Hering: Critical Markov branching processes with general set of types. Trans. Amer. Math. Soc.160 (1971) 185-202. Zbl0232.60067MR281272
  6. [6] H. Hering: Limit theorem for critical branching diffusion processes with absorbing barriers. Math. Biosci.19 (1974) 355-377. Zbl0282.60053MR341641
  7. [7] H. Hering: Refined positivity theorem for semigroups generated by perturbed elliptic differential operators. (To appear). Zbl0374.47021
  8. [8] N. Ikeda, M. Nagasawa, and S. Watanabe: Branching Markov processes I, II, III. J. Math. Kyoto Univ.8 (1968) 233-278, 365-410; 9 (1969) 95-160. Zbl0233.60070MR232439
  9. [9] S. Itô: Fundamental solutions of parabolic differential equations and boundary value problems. Jap. J. Math.27 (1957) 55-102. Zbl0092.31101MR98240
  10. [10] A. Joffe and F. Spitzer: On multitype branching processes with ρ ≤ 1. J. Math. Anal. Appl.19 (1967) 409-430. Zbl0178.19504
  11. [11] T. Savits: The explosion problem for branching Markov process. Osaka J. Math.6 (1969) 375-395. Zbl0216.47104MR282426
  12. [12] M. Westcott: The probability generating functional. J. Austral. Math. Soc.14 (1972) 448-466. Zbl0251.60008MR324772

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