  Induction-transduction of activating-deactivating points are fundamental
mechanisms of action that underlie innumerable systems and phenomena,
mathematical, natural, and anthropogenic, and can exhibit complex behaviors
such as self-excitation, phase transitions, hysteresis, polarization,
periodicity, chaos, wave behavior, geometry, and energy transfer. We describe a
class of primitives for induction-transduction based on dynamics on images of
marked random counting measures under graphical random transformations. We
derive a field equation for the law of the activation-deactivation (Bernoulli)
process on an arbitrary measurable space and describe some mechanisms of action
on the unit interval.
