On the functional central limit theorem and the law of the iterated logarithm for Markov processes, vol.60, pp.185-201, 1982. ,

Asymptotics of solute dispersion in periodic porous media, SIAM Journal of Applied Mathematics, vol.49, pp.86-98, 1989. ,

, Normal Approximation and Asymptotic Expansions, 1976.

Diffusion and mixing in fluid flow, Annals of Mathematics, vol.168, issue.2, pp.643-674, 2008. ,

Variance reduction using nonreversible langevin samplers, Journal of Statistical Physics, vol.163, pp.457-506, 2016. ,

URL : https://hal.archives-ouvertes.fr/hal-01164466

, An Introduction to Probability Theory and Its Applications, vol.2, 1971.

Short notice the behavior of asymptotic variance for an drift accelerated diffusion ,

The behavior of the spectral gap under growing drift, Transactions of the American Mathematical Society, vol.362, issue.3, pp.1325-1350, 2010. ,

, Variance reduction for diffusions. Stochastic Processes and their Applications, vol.125, pp.3522-3540, 2015.

Phase transitions and metastability in markovian and molekular systems, Annals of Applied Probability, vol.14, issue.1, pp.419-458, 2004. ,

Perturbation Theory for Linear Operators, Grundlehren der Mathematischen Wissenschaften, vol.132, 1976. ,

Spectral theory and limit theorems for geometrically ergodic Markov processes, Annals of Applied Probability, vol.13, issue.1, pp.304-362, 2003. ,

, Markov Chains and Stochastic Stability, 2009.

, General Irreducible Markov Chains and Nonnegative Operators, 1984.

Said : Some remark on the asymptotic variance in a drift accelerated diffusion, Statistics and Probability Letters, vol.162, 2020. ,