DYNAMICAL SIMULATIONS OF PROBABILITIES

It has been demonstrated that classical probabilities, and in particul ar, the probabilistic Turing machine, can be simulated by combining ch aos and non-lipschitz dynamics, without utilization of any man-made de vices (such as random number generators). Self-organizing properties o f systems coupling simulated and calculated probabilities and their li nk to quantum computations are discussed. Special attention was focuse d upon coupled stochastic processes. defined in terms of conditional p robabilities, for which joint probability does not exist. Simulations of quantum probabilities are also discussed. (C) 1997 Elsevier Science Ltd.