We consider a Poisson process Φ on a general phase space. The expectation of a function of Φ can be considered as a functional of the intensity measure λ of Φ. Extending earlier results of Molchanov ...

For uniformly ergodic Markov chains, we obtain new perturbation bounds which relate the sensitivity of the chain under perturbation to its rate of convergence to stationarity. In particular, we derive ...