J. Aaronson, An introduction to infinite ergodic theory, Mathematical surveys and monographs 50, 1997.

J. Aaronson, The asymptotic distributional behaviour of transformations preserving infinite measures, Journal d'Analyse Math??matique, vol.5, issue.1, pp.203-234, 1981.
DOI : 10.1007/BF02803336

V. Arnold, Small denominators. I. Mapping the circle onto itself, Izv. Akad, Nauk SSSR Ser. Mat, vol.25, pp.21-86, 1961.

J. Conze, Recurrence, ergodicity and invariant measures for cocycles over a rotation, preprint, 2007.

J. Conze and N. Chevallier, Examples of recurrent or transient stationary walks in R d over a rotation of T 2, 2008.

B. Fayad, On the ergodicity of the Weyl sums cocycles, Acta Arith, pp.305-316, 2006.

J. Feldman and C. Moore, Ergodic equivalence relations, cohomology, and von Neumann algebras. I, Transactions of the American Mathematical Society, vol.234, issue.2, pp.289-324, 1977.
DOI : 10.1090/S0002-9947-1977-0578656-4

URL : http://projecteuclid.org/download/pdf_1/euclid.bams/1183537250

G. Gelbrich, Self-similar periodic tilings on the Heisenberg group, Journal of Lie Theory, vol.4, pp.31-37, 1994.

V. Golodets and S. Sinel-'shchikov, Locally compact groups appearing as ranges of cocycles of ergodic -actions, Ergodic Theory and Dynamical Systems, vol.26, issue.01, pp.45-57, 1985.
DOI : 10.1007/BF01361167

G. Greschonig, Recurrence in unipotent groups and ergodic nonabelian group extensions, Israel Journal of Mathematics, vol.109, issue.4, pp.245-267, 2005.
DOI : 10.1007/BF02785367

M. Herman, Sur la Conjugaison Diff??rentiable des Diff??omorphismes du Cercle a des Rotations, Publications math??matiques de l'IH??S, vol.28, issue.4, pp.5-233, 1979.
DOI : 10.1007/BF02684798

L. Kuipers and H. Niederreiter, Uniform distribution of sequences. Pure and applied mathematics, 1974.

M. Lema´nczyklema´nczyk, F. Parreau, and D. Voln´yvoln´y, Ergodic properties of real cocycles and pseudo-homogeneous Banach spaces, Transactions of the American Mathematical Society, vol.348, issue.12, pp.4919-4938, 1996.
DOI : 10.1090/S0002-9947-96-01799-0

P. Liardet and D. Voln´yvoln´y, Sums of continuous and differentiable functions in dynamical systems, Israel Journal of Mathematics, vol.38, issue.1, pp.29-60, 1997.
DOI : 10.1007/BF02937328

M. Nerurkar, Ergodic continuous skew product actions of amenable groups, Pacific Journal of Mathematics, vol.119, issue.2, pp.343-363, 1985.
DOI : 10.2140/pjm.1985.119.343

M. Nerurkar, On the construction of smooth ergodic skew-products, Ergodic Theory and Dynamical Systems, pp.311-326, 1988.

K. Schmidt, Lectures on Cocycles of Ergodic Transformations Groups, Lecture Notes in Math, vol.1, 1977.

W. Thurston, Three dimensional geometry and topology, 1997.

D. Voln´yvoln´y, Completely squashable smooth ergodic cocycles over irrational rotations, Topological Methods in Nonlinear Analysis, vol.22, issue.2, pp.331-344, 2003.
DOI : 10.12775/TMNA.2003.043

J. Yoccoz, Sur la disparition de propriétés de type Denjoy-Koksma en dimension 2, C. R. Acad. Sci. Paris Sér. A-B, vol.291, issue.13, 1980.