Geodesic
Non-binary branching process and non-Markovian exploration process
Drame, Ibrahima1, 2  ; Pardoux, Etienne1, 2  ; Sow, A.B.2 
1 Aix-Marseille Univ., CNRS, Centrale Marseille, I2M, Marseille, France.
2 LERSTAD, Université Gaston Berger, BP 234, Saint Louis, Sénégal.
ESAIM: Probability and Statistics, Tome 21 (2017), pp. 1-33

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We study both a continuous time non-binary Galton−Watson random tree and its exploration (or height) process in the subcritical, critical and supercritical cases. We then renormalize our branching process and exploration process, and take the weak limit as the size of the population tends to infinity.

Reçu le :
Accepté le :
DOI : 10.1051/ps/2016027
Classification : 60J80, 60J85, 92D25
Keywords: Branching process, exploration process, local time, weak limit

Drame, Ibrahima 1, 2 ; Pardoux, Etienne 1, 2 ; Sow, A.B. 2

1 Aix-Marseille Univ., CNRS, Centrale Marseille, I2M, Marseille, France.
2 LERSTAD, Université Gaston Berger, BP 234, Saint Louis, Sénégal. 
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     title = {Non-binary branching process and {non-Markovian} exploration process},
     journal = {ESAIM: Probability and Statistics},
     pages = {1--33},
     publisher = {EDP-Sciences},
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     year = {2017},
     doi = {10.1051/ps/2016027},
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Drame, Ibrahima; Pardoux, Etienne; Sow, A.B. Non-binary branching process and non-Markovian exploration process. ESAIM: Probability and Statistics, Tome 21 (2017), pp. 1-33. doi: 10.1051/ps/2016027

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