Do immigrants cause crime?

According to a newly published study in the Journal of the European Economic Association by Bianchi, Buonanno, and Pinotti (an earlier working paper is here):

According to these estimates, immigration increases only the incidence of robberies, while leaving unaffected all other types of crime. Since robberies represent a very minor fraction of all criminal offenses, the effect on the overall crime rate is not significantly different from zero.