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Birth, Death, and Horizontal Flight: Malthusian flocks with an easy plane in three dimensions

Birth, Death, and Horizontal Flight: Malthusian flocks with an easy plane in three dimensions

I formulate the theory of three dimensional "Malthusian flocks" -- i.e., coherently moving collections of self-propelled entities (such as living creatures) which are being "born" and "dying" during their motion -- whose constituents all have a preference for having their velocity vectors lie parallel to the same two-dimensional plane. I …