Topics on random fields (Mathematical Study of Quantum Dynamical Systems and Its Application to Quantum Computer)
Si Si · Institutional Repositories DataBase (IRDB) · 2004
First we review our previous work on finding innovation of Gaussian processes and Gaussian random fields.Next stochastic processes and random fields which can be expressed by the repre sentation in terms of Poisson noises are discussed.From the characteristic functional of a given compound Poisson process, a single Poisson process is deduced by computing its characteristic func- tiou.The computability of jump finding is shown for Poisson paths with fixed height of jumps and different heights of jumps.