Probability laws in the distribution of the fractional parts of the values of polynomials and evidence for the quantum chaos conjecture
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 54 (1999) no. 6, pp. 1259-1260
Cet article a éte moissonné depuis la source Math-Net.Ru
@article{RM_1999_54_6_a15,
author = {L. D. Pustyl'nikov},
title = {Probability laws in the distribution of the fractional parts of the values of polynomials and evidence for the quantum chaos conjecture},
journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
pages = {1259--1260},
year = {1999},
volume = {54},
number = {6},
language = {en},
url = {http://geodesic.mathdoc.fr/item/RM_1999_54_6_a15/}
}
TY - JOUR AU - L. D. Pustyl'nikov TI - Probability laws in the distribution of the fractional parts of the values of polynomials and evidence for the quantum chaos conjecture JO - Trudy Matematicheskogo Instituta imeni V.A. Steklova PY - 1999 SP - 1259 EP - 1260 VL - 54 IS - 6 UR - http://geodesic.mathdoc.fr/item/RM_1999_54_6_a15/ LA - en ID - RM_1999_54_6_a15 ER -
%0 Journal Article %A L. D. Pustyl'nikov %T Probability laws in the distribution of the fractional parts of the values of polynomials and evidence for the quantum chaos conjecture %J Trudy Matematicheskogo Instituta imeni V.A. Steklova %D 1999 %P 1259-1260 %V 54 %N 6 %U http://geodesic.mathdoc.fr/item/RM_1999_54_6_a15/ %G en %F RM_1999_54_6_a15
L. D. Pustyl'nikov. Probability laws in the distribution of the fractional parts of the values of polynomials and evidence for the quantum chaos conjecture. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 54 (1999) no. 6, pp. 1259-1260. http://geodesic.mathdoc.fr/item/RM_1999_54_6_a15/
[1] Hardi G. H., Littlewood J. E., Proc. Internat. Congr. Math. Cambridge, 1912, 223–229
[2] Weyl H., Math. Ann., 77 (1916), 313–352 | DOI | MR
[3] Kac M., Ann. of Math. (2), 47:1 (1946), 33–49 | DOI | MR | Zbl
[4] Fortet R., Studia Math., 1 (1940), 54–69 | MR
[5] Berry M. V., Tabor M., Proc. Roy. Soc. London. Ser. A, 356 (1977), 375–394 | DOI
[6] Casati G., Chirikov B. V., Guarneri I., Phys. Rev. Lett., 54 (1985), 1350–1353 | DOI | MR
[7] Knauf A., Sinai Ya. G., Classical Nonintegrability, Quantum Chaos, DMV Seminar, 27, Birkhäuser, Basel, 1997 | Zbl