Abstract The aim of this paper is the analysis exponential mean-square stability properties nonlinear stochastic linear multistep methods. In particular it known that, under certain hypothesis on drift and diffusion terms equation, contractivity visible: qualitative feature exact problem here analysed numerical perspective, to understand whether a method can provide an analogous behaviour which...

For a class C of binary linear codes, we write θC : (0, 1) → [0, 12 ] for the maximum-likelihood decoding threshold function of C, the function whose value at R ∈ (0, 1) is the largest bit-error rate p that codes in C can tolerate with a negligible probability of maximum-likelihood decoding error across a binary symmetric channel. We show that, if C is the class of cycle codes of graphs, then θ...