On the growth of averaged Weyl sums for rigid rotations
de Bièvre, S. ; Forni, G.
Studia Mathematica, Tome 129 (1998), p. 199-212 / Harvested from The Polish Digital Mathematics Library
Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:216552
@article{bwmeta1.element.bwnjournal-article-smv130i3p199bwm,
     author = {S. de Bi\`evre and G. Forni},
     title = {On the growth of averaged Weyl sums for rigid rotations},
     journal = {Studia Mathematica},
     volume = {129},
     year = {1998},
     pages = {199-212},
     zbl = {0908.11037},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv130i3p199bwm}
}
de Bièvre, S.; Forni, G. On the growth of averaged Weyl sums for rigid rotations. Studia Mathematica, Tome 129 (1998) pp. 199-212. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv130i3p199bwm/

[00000] [AG] S. Aubry and C. Godrèche, Incommensurate structure with no average lattice an example of one-dimensional quasicrystal, J. Physique 47 (1986), no. 7, 187-196.

[00001] [B] M. Berry, Incommensurability in an exactly soluble quantal and classical model for a kicked rotator, Phys. D 10 (1984), 369-378.

[00002] [Be] J. Bellissard, Stability and instability in quantum mechanics, in: Trends and Developments in the 80's (Bielefeld, 1982//1983), S. Albeverio and P. Blanchard (eds.), World Sci., 1985, 1-106.

[00003] [CMPS] D. Crisp, W. Moran, A. Pollington and P. Shiue, Substitution invariant cutting sequences, J. Théor. Nombres Bordeaux 5 (1993), 123-137. | Zbl 0786.11041

[00004] [DBF] S. De Bièvre and G. Forni, Transport properties of kicked and quasi-periodic Hamiltonians, J. Statist. Phys. (1998), to appear. | Zbl 0923.47042

[00005] [D] J. M. Dumont, Summation formulae for substitutions on a finite alphabet, in: Number Theory and Physics, J. M. Luck, P. Moursa and M. Waldschmidt (eds.), Lecture Notes in Phys. 47, Springer, 1990, 185-194.

[00006] [G] G. Gallavotti, Elements of Classical Mechanics, Texts Monographs Phys., Springer, 1983.

[00007] [GLV] C. Godrèche, J. M. Luck and F. Vallet, Quasiperiodicity and types of order a study in one dimension, J. Phys. A 20 (1987), 4483-4499.

[00008] [K] A. Khinchin, Continued Fractions, The Univ. of Chicago Press, Chicago and London, 1964. | Zbl 0117.28601

[00009] [Ke] H. Kesten, On a conjecture by Erdős and Szüsz related to uniform distribution modulo 1, Acta Arith. 12 (1966), 193-212. | Zbl 0144.28902

[00010] [KN] L. Kuipers and H. Niederreiter, Uniform Distribution of Sequences, Wiley, New York, 1974. | Zbl 0281.10001

[00011] [L] P. Liardet, Regularities of distribution, Compositio Math. 61 (1987), 267-293. | Zbl 0619.10053

[00012] [LV] P. Liardet and D. Volný, Sums of continuous and differentiable functions in dynamical systems, Israel J. Math. 98 (1997), 29-60. | Zbl 0881.28012

[00013] [Pa] D. A. Pask, Skew products over the irrational rotation, ibid. 69 (1990), 65-74. | Zbl 0703.28009

[00014] [P1] K. Petersen, Ergodic Theory, Cambridge Univ. Press, Cambridge, 1983.

[00015] [P2] K. Petersen, On a series of cosecants related to a problem in ergodic theory, Compositio Math. 26 (1973), 313-317. | Zbl 0269.10030