there may be juridictional wrinkles, ie, cf. UCB, where there are sworn officers whose jurisdiction probably displaces Berkeley PD, whereas at Stanford (I think) the law enforcement agency is the Palo Alto PD, possibly supplemented by Stanford Rent-a-Cops
(not germane to the easement granted to travel over the roads which is in the power of the trustees to grant, and not, as you say, in any sense inhering to the student body.)