Sufficient conditions for the existence of global random attractors for stochastic lattice dynamical systems and applications (Q1018163)

For random dynamical systems induced by stochastic lattice differential equations on \(l^2(\mathbb Z)\) with additive white noise a sufficient condition for the existence of a global random set attractor is given. As an application a `lattice sine-Gordon equation' (i.e., a space discretization of a sine-Gordon equation) is discussed. For this case an upper bound for the \(\varepsilon\)-covering number, \(\varepsilon>0\), of the attractor is obtained in addition.