Potential-theoretical methods in the construction of measure-valued Markov branching processes
Journal of the European Mathematical Society, Tome 13 (2011) no. 3, pp. 685-707
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We develop potential-theoretical methods in the construction of measure-valued branching processes.We complete results of P. J. Fitzsimmons and E. B. Dynkin on the construction, regularity and other properties of the superprocess associated with a given right process and a branching mechanism.
Classification :
60-XX, 47-XX, 00-XX
Keywords: Branching process, superprocess, excessive function, right process
Keywords: Branching process, superprocess, excessive function, right process
@article{JEMS_2011_13_3_a4,
author = {Lucian Beznea},
title = {Potential-theoretical methods in the construction of measure-valued {Markov} branching processes},
journal = {Journal of the European Mathematical Society},
pages = {685--707},
publisher = {mathdoc},
volume = {13},
number = {3},
year = {2011},
doi = {10.4171/jems/264},
url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/264/}
}
TY - JOUR AU - Lucian Beznea TI - Potential-theoretical methods in the construction of measure-valued Markov branching processes JO - Journal of the European Mathematical Society PY - 2011 SP - 685 EP - 707 VL - 13 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4171/jems/264/ DO - 10.4171/jems/264 ID - JEMS_2011_13_3_a4 ER -
%0 Journal Article %A Lucian Beznea %T Potential-theoretical methods in the construction of measure-valued Markov branching processes %J Journal of the European Mathematical Society %D 2011 %P 685-707 %V 13 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4171/jems/264/ %R 10.4171/jems/264 %F JEMS_2011_13_3_a4
Lucian Beznea. Potential-theoretical methods in the construction of measure-valued Markov branching processes. Journal of the European Mathematical Society, Tome 13 (2011) no. 3, pp. 685-707. doi: 10.4171/jems/264
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