J. Avigad, P. Gerhardy, and H. Towsner, Local stability of ergodic averages. Transactions of the, pp.261-288, 2010.

L. Bienvenu, A. Day, I. Mezhirov, and A. Shen, Ergodic-Type Characterizations of Algorithmic Randomness, CiE, pp.49-58, 2010.
DOI : 10.1007/978-3-642-13962-8_6

L. Bienvenu and B. Monin, Von Neumann's Biased Coin Revisited, 2012 27th Annual IEEE Symposium on Logic in Computer Science, pp.145-154
DOI : 10.1109/LICS.2012.26
URL : https://hal.archives-ouvertes.fr/hal-01397207

J. Franklin and H. Towsner, Randomness and non-ergodic systems, 2012.

E. Cameron, D. M. Freer, and . Roy, Computable exchangeable sequences have computable de Finetti measures, Lecture Notes in Computer Science, vol.5635, issue.8, pp.218-231, 2009.

P. Gács, Uniform test of algorithmic randomness over a general space, Theoretical Computer Science, vol.341, issue.1-3, pp.91-137, 2005.
DOI : 10.1016/j.tcs.2005.03.054

P. Gács, Lecture notes on descriptional complexity and randomness, p.9, 2008.

P. Gács, M. Hoyrup, and C. Rojas, Randomness on Computable Probability Spaces???A??Dynamical Point of View, STACS, LIPIcs Schloss Dagstuhl -Leibniz-Zentrum fuer Informatik, pp.469-480, 2009.
DOI : 10.1007/s00224-010-9263-x

P. Hertling and K. Weihrauch, Random elements in effective topological spaces with measure. Information and Computation, pp.32-56, 2003.

M. Hoyrup, Randomness and the Ergodic Decomposition, CiE, pp.122-131, 2011.
DOI : 10.1007/978-3-642-56999-9
URL : https://hal.archives-ouvertes.fr/inria-00586736

M. Hoyrup and C. Rojas, Computability of probability measures and Martin-L??f randomness over metric spaces, Information and Computation, vol.207, issue.7, pp.830-847, 2009.
DOI : 10.1016/j.ic.2008.12.009

L. A. Levin, On the notion of a random sequence, Soviet Mathematics Doklady, vol.14, issue.4, pp.1413-1416, 1973.

P. Martin-löf, The definition of random sequences, Information and Control, vol.9, issue.6, pp.602-619, 1966.
DOI : 10.1016/S0019-9958(66)80018-9

K. R. Parthasarathy, On the category of ergodic measures, Ill. J. Math, vol.5, issue.6, pp.648-656, 1961.

R. R. Phelps, Lectures on Choquet's Theorem, 2001.
DOI : 10.1007/b76887

V. Vladimir and . V-'yugin, Effective convergence in probability and an ergodic theorem for individual random sequences. SIAM Theory of Probability and Its Applications, pp.39-50, 1997.

K. Weihrauch, Computable Analysis, 2000.