Why is Brownian motion important in the study of stochastic processes?

stochastic process. Mutual information based distance measure can thus be used to compare texts written by different authors or to build phylogenies of ... The analysis of the stochastic process reveals the properties of the informational cascade and the informational avalanche. 4.1. Optimal trading strategy. The stochastic properties of this process determine long-run learning dynamics. 9. Page 11. 3.3 Local Stability of Limit Outcomes. At a stationary point ... While classical state-space reconstruction won't work on stochastic processes, such processes do have state-space representations [11], and, in the special ... Admissible Data Processes. In applying the competitive message process to stochastic environments, we have thus far required uninformed agents to use the ... ... stochastic process, whether the original process is Markovian or not. ... information sharing called "informational coherence". Informational coherence, in ... We explore the effect on investment quantity in this real option regulation under various assumptions on the stochastic process for revenues. On the one ... ... stochastic processes or theoretical models. With the development of transfer ... In the bivariate case, information flow from process J to process I is ... ... Stochastic Processes and their Ap- plications, 74 (2) 195-201, 1998. 21 ... gineering and Informational Science, 18 (4) 493-502, 2004. 26. Zazanis ... Next, in Section 3, we model the HVAC problem as a Partially Observable Markov Decision Process (POMDP) with environment dependency. Section 4 shows that the ...