%0 Generic %1 lalleycritical %A Lalley, Steven P. %A Zheng, Bowei %D 2015 %K Fisher-KPP branching_Brownian_motion branching_processes %T Critical Branching Brownian Motion with Killing %U http://arxiv.org/abs/1507.02345 %X We obtain sharp asymptotic estimates for hitting probabilities of a critical branching Brownian motion in one dimension with killing at 0 We also obtain sharp asymptotic formulas for the tail probabilities of the number of particles killed at 0. In the special case of double-or-nothing branching, we give exact formulas for both the hitting probabilities, in terms of elliptic functions, and the distribution of the number of killed particles.

@misc{lalleycritical, abstract = {We obtain sharp asymptotic estimates for hitting probabilities of a critical branching Brownian motion in one dimension with killing at 0 We also obtain sharp asymptotic formulas for the tail probabilities of the number of particles killed at 0. In the special case of double-or-nothing branching, we give exact formulas for both the hitting probabilities, in terms of elliptic functions, and the distribution of the number of killed particles.}, added-at = {2015-08-30T07:38:08.000+0200}, author = {Lalley, Steven P. and Zheng, Bowei}, biburl = {https://www.bibsonomy.org/bibtex/291b39610fd5d735e1956ec15aba27892/peter.ralph}, interhash = {db273a0a9a893ca7279b40595783469f}, intrahash = {91b39610fd5d735e1956ec15aba27892}, keywords = {Fisher-KPP branching_Brownian_motion branching_processes}, note = {cite arxiv:1507.02345}, timestamp = {2015-08-30T07:38:08.000+0200}, title = { Critical Branching Brownian Motion with Killing}, url = {http://arxiv.org/abs/1507.02345}, year = 2015 }