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In this paper, we propose a stochastic version of the Hawking-Penrose blackhole model. We describe the dynamics of the stochastic model as acontinuous-time Markov jump process of quanta out and in the black hole. Theaverage of the random process satisfies the deterministic picture accepted inthe physical literature. Assuming that the number of quanta is finite theproposed Markov process consists of two components: the number of the quanta inthe black hole and the amount of the quanta outside.  The stochastic representation allows us to apply large deviation theory tostudy the asymptotics of probabilities of rare events when the number of quantagrows to infinity. The theory provides explicitly the rate functional for theprocess. Its infimum over the set of all trajectories leading to a largeemission event is attained on the most probable trajectory. This trajectory isa solution of a highly nonlinear Hamiltonian system of equations. Under thecondition of the stationarity of the fraction of quanta in the black hole, wefound the most probable trajectory corresponding to a large emission event.

Hawking-Penrose Black Hole Model. Large Emission Regime