Recurrence in Mean
Matematičeskie zametki, Tome 72 (2002) no. 4, pp. 625-632.

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper, the mean values of the recurrence and N-recurrence constants are computed; in the topological case, the recurrence constant is found.
@article{MZM_2002_72_4_a13,
     author = {I. D. Shkredov},
     title = {Recurrence in {Mean}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {625--632},
     publisher = {mathdoc},
     volume = {72},
     number = {4},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2002_72_4_a13/}
}
TY  - JOUR
AU  - I. D. Shkredov
TI  - Recurrence in Mean
JO  - Matematičeskie zametki
PY  - 2002
SP  - 625
EP  - 632
VL  - 72
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2002_72_4_a13/
LA  - ru
ID  - MZM_2002_72_4_a13
ER  - 
%0 Journal Article
%A I. D. Shkredov
%T Recurrence in Mean
%J Matematičeskie zametki
%D 2002
%P 625-632
%V 72
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2002_72_4_a13/
%G ru
%F MZM_2002_72_4_a13
I. D. Shkredov. Recurrence in Mean. Matematičeskie zametki, Tome 72 (2002) no. 4, pp. 625-632. http://geodesic.mathdoc.fr/item/MZM_2002_72_4_a13/

[1] Puankare A., “Novye metody nebesnoi mekhaniki”, Izbrannye trudy, T. 2, Nauka, M., 1972

[2] Boshernitzan M. D., “Quantitative recurrence results”, Invent. Math., 113:3 (1993), 617 | DOI | MR | Zbl

[3] Moschevitin N. G., “Ob odnoi teoreme Puankare”, UMN, 53:1 (1998), 223–234

[4] Oxtoby J., “Ergodic sets”, Bull. Amer. Math. Soc., 58:2 (1952), 116–136 | DOI | MR | Zbl

[5] Spitzer F., Principles of Random Walk, Van Nostrand, 1964 | Zbl

[6] Katok A. B., Khasselblat B., Vvedenie v sovremennuyu teoriyu dinamicheskikh sistem, Faktorial, M., 1999

[7] Kolmogorov A. N., “O nekotorykh asimptoticheskikh kharakteristikakh vpolne ogranichennykh metricheskikh prostranstv”, Dokl. AN, 108:3 (1956), 385 | MR | Zbl

[8] Galeev E. M., Tikhomirov V. M., Kratkii kurs teorii ekstremalnykh zadach, Izdatelstvo MGU, M., 1989 | Zbl