@article{Wei:2016:10.1103/PhysRevE.94.066101,
author = {Wei, N and Pruessner, G},
doi = {10.1103/PhysRevE.94.066101},
journal = {Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics},
title = {Comment on “Finite-size scaling of survival probability in branching processes”},
url = {http://dx.doi.org/10.1103/PhysRevE.94.066101},
volume = {94},
year = {2016}
}

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TY  - JOUR
AB  - R. Garcia-Millan et al. [Phys. Rev. E 91, 042122 (2015)] reported a universal finite-size scaling form of the survival probability in discrete time branching processes. In this comment, we generalize the argument to a wide range of continuous time branching processes. Owing to the continuity, the resulting differential (rather than difference) equations can be solved in closed form, rendering some approximations by R. Garcia-Millan et al. superfluous, although we work along similar lines. In the case of binary branching, our results are in fact exact. Demonstrating that discrete time and continuous time models have their leading order asymptotics in common, raises the question to what extent corrections are identical.
AU  - Wei,N
AU  - Pruessner,G
DO  - 10.1103/PhysRevE.94.066101
PY  - 2016///
SN  - 2470-0045
TI  - Comment on “Finite-size scaling of survival probability in branching processes”
T2  - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
UR  - http://dx.doi.org/10.1103/PhysRevE.94.066101
UR  - http://hdl.handle.net/10044/1/43507
VL  - 94
ER  - 

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