@article{Ma2019,
 author = {Mallein, Bastien},
 title = {{Necessary and sufficient conditions for the convergence of the consistent maximal displacement of the branching random walk}},
 fjournal = {{Brazilian Journal of Probability and Statistics}},
 journal = {{Braz. J. Probab. Stat.}},
 issn = {0103-0752},
 volume = {33},
 number = {2},
 pages = {356--373},
 year = {2019},
 publisher = {Institute of Mathematical Statistics (IMS), Bethesda, MD; Brazilian Statistical Association, S\~ao Paulo},
 language = {English},
 doi = {10.1214/18-BJPS391},
 msc2010 = {60-XX 34-XX}
}