Reversible Markov Chains and Random Walks on Graphs Monograph in preparation Available from the Aldous's home page at http ,
The Berry-Esseen theorem for functionals of discrete Markov chains, Zeitschrift f???r Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol.9, issue.1, pp.59-73, 1980. ,
DOI : 10.1007/BF00535354
Large deviations for quadratic functionals of gaussian processes, Journal of Theoretical Probability, vol.10, issue.2, pp.307-332, 1997. ,
DOI : 10.1023/A:1022656331883
Estimation of spectral gap for elliptic operators, Transactions of the American Mathematical Society, vol.349, issue.03, pp.1239-1267, 1997. ,
DOI : 10.1090/S0002-9947-97-01812-6
Markov chains with stationnary transition probabilities, 1960. ,
Analysis of a non-reversible markov chain sampler, Biometrics Unit, 1997. ,
A Probability Inequality for the Occupation Measure of a Reversible Markov Chain, The Annals of Applied Probability, vol.5, issue.1, pp.37-43, 1995. ,
DOI : 10.1214/aoap/1177004826
Expectations for Nonreversible Markov Chains, Journal of Mathematical Analysis and Applications, vol.220, issue.2, pp.585-596, 1998. ,
DOI : 10.1006/jmaa.1997.5850
Occupation measures for Markov chains, Journal of Theoretical Probability, vol.43, issue.3, pp.679-691, 1995. ,
DOI : 10.1007/BF02218050
An Introduction to Probability Theory and Its Applications, 1971. ,
Hidden Markov Chains: Rates of Convergence and the Complexity of Inference, 1993. ,
Logarithmic Sobolev inequalities and contractivity properties of semigroups, Dirichlet forms ,
DOI : 10.1007/BFb0074091
Perturbation theory for linear operators, 1966. ,
DOI : 10.1007/978-3-662-12678-3
On the rate of convergence in the central limit theorem for Markov-chains, Zeitschrift f???r Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol.2, issue.1, pp.169-183, 1976. ,
DOI : 10.1007/BF00532600
Bounds on the L 2 spectrum for Markov chains and Markov processes: A generalization of Cheeger's inequality, Trans. Amer. Math. Soc, vol.309, pp.557-580, 1988. ,
Chernoff-type bound for finite Markov chains, The Annals of Applied Probability, vol.8, issue.3, pp.849-867, 1998. ,
DOI : 10.1214/aoap/1028903453
URL : https://hal.archives-ouvertes.fr/hal-00940907
Berry?Esseen Central Limit Theorem for Markov chains, 1996. ,
A measure concentration inequality for contracting markov chains, Geometric and Functional Analysis, vol.81, issue.158, pp.556-571, 1996. ,
DOI : 10.1007/BF02249263
Some limit theorems for stationary Markov chains. Theory Probab, Appl, vol.2, pp.378-406, 1957. ,
Concentration of measure inequalities for Markov chains and $\Phi$-mixing processes, The Annals of Probability, vol.28, issue.1, pp.416-461, 2000. ,
DOI : 10.1214/aop/1019160125
On the product of semi-groups of operators, Proc. Amer, pp.545-551, 1959. ,
DOI : 10.1090/S0002-9939-1959-0108732-6
Existence of spectral gap for elliptic operators. M a t h .S c i .R e s .I n s t, 1998. ,