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Ito's- and Tanaka's-type formulae for the stochastic heat equation: The linea...
In this paper, we consider the linear stochastic heat equation with additive noise in dimension one. Then, using the representation of its solution X as a stochastic... -
m-order integrals and generalized Ito's formula; the case of a fractional Bro...
Given an integer m, a probability measure ν on [0,1], a process X and a real function g, we define the m-order ν-integral having as integrator X and as integrand g(X).... -
Generalized covariations, local time and Stratonovich Itô's formula for fract...
Given a locally bounded real function g, we examine the existence of a 4-covariation $[g(B^H), B^H, B^H, B^H]$, where $B^H$ is a fractional Brownian motion with a... -
Reduced-order filter for stochastic bilinear systems with multiplicative noise
This paper deals with the design of a reduced-order H-infinty filter for a stochastic bilinear systems with a prescribed H-infinty norm criterion. The problem is...
