ergodic Markov chains we obtain error bounds with the optimal order of convergence n1/p−1 and if there exists a spectral gap …

Let (Xn)n≥1 be a Markov chain on a general state space with stationary distribution π and a spectral gap in the space …

vector field. The spectral gap, denoted by λ(C), of L(C) is defined by −sup{real part of μ,μ is in the spectrum ofLC, μ≠0 …, the convergence to the equilibrium is accelerated using the spectral gap as a comparison criterion. However, how good can …

confined to a cube in of width n, the spectral gap is bounded below by positive multiple of (n2(1+[rho])1-[gamma])-1, where …