A stochastic infinite dimensional version of the GOY model is rigorously investigated. Well posedness of strong solutions, existence and p-integrability of invariant measures is proved. Existence of solutions to the zero viscosity equation is also proved. With these preliminary results, the asymptotic exponents ζp of the structure function are investigated. Necessary and sufficient conditions f...

Based on characteristics of the nonlife joint-stock insurance company, this paper presents a compound binomial risk model that randomizes the premium incomeonunit time and sets the thresholdx for paying dividends to shareholders. In thismodel, the insurance company obtains the insurance policy in unit time with probability p 0 and pays dividends to shareholders with probability p 1 when the sur...

This work concern an extension of the asymptotic compensation problem in hyperbolic systems. We introduce and characterize the notion of asymptotic remediability, which consists to compensate asymp-totically a disturbance by a convenient choice of actuators (efficient actuators). We also study the relationship between these different notions and asymptotic controllability as well as strategic a...