Voir la notice de l'article provenant de la source Math-Net.Ru
@article{MMO_2021_82_1_a11, author = {S. V. Tikhonov}, title = {A violation of multiple mixing close to an extremal}, journal = {Trudy Moskovskogo matemati\v{c}eskogo ob\^{s}estva}, pages = {205--215}, publisher = {mathdoc}, volume = {82}, number = {1}, year = {2021}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MMO_2021_82_1_a11/} }
S. V. Tikhonov. A violation of multiple mixing close to an extremal. Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 82 (2021) no. 1, pp. 205-215. http://geodesic.mathdoc.fr/item/MMO_2021_82_1_a11/
[1] B. Host, “Mixing of all orders and pairwise independent joinings of systems with singular spectrum”, Isr. J. Math., 76:3 (1991), 289–298 | DOI | MR | Zbl
[2] S. A. Kalikow, “Twofold mixing implies threefold mixing for rank one transformations”, Ergod. Th. Dynam. Sys., 4:2 (1984), 237–259 | DOI | MR | Zbl
[3] J. L. King, “Ergodic properties where order 4 implies infinite order”, Isr. J. Math., 80:1-2 (1992), 65–86 | DOI | MR | Zbl
[4] F. Ledrappier, “Un champ markovien peut être d'entropie nulle et mélangeant”, C. R. Acad. Sci. Paris Sér. A-B, 287:7 (1978), A561-A563 | MR
[5] S. Mozes, “Mixing of all orders of Lie group actions”, Invent. Math., 107:2 (1992), 235–241 | DOI | MR | Zbl
[6] K. Schmidt, “Dynamical properties of principal algebraic group actions”, Ergod. Th. Dynam. Sys.: Perspectives and Prospects, Univ. Warwick, 2012 | MR | Zbl
[7] S. V. Tikhonov, “Zhestkost deistvii s ekstremalnym otkloneniem ot kratnogo peremeshivaniya”, Matem. zametki, 103:6 (2018), 912–926 | Zbl
[8] V. A. Rokhlin, “Ob endomorfizmakh kompaktnykh kommutativnykh grupp”, Izv. AN SSSR. Ser. matem., 13:4 (1949), 329–340 | Zbl
[9] V. V. Ryzhikov, “Peremeshivanie, rang i minimalnoe samoprisoedinenie deistvii s invariantnoi meroi”, Matem. sb., 183:3 (1992), 133–160
[10] V. V. Ryzhikov, “Dzhoiningi i kratnoe peremeshivanie deistvii konechnogo ranga”, Funkts. analiz i ego pril., 27:2 (1993), 63–78 | MR | Zbl
[11] S. V. Tikhonov, “Ob otsutstvii kratnogo peremeshivaniya i tsentralizatore sokhranyayuschikh meru deistvii”, Mat. zametki, 97:4 (2015), 636–640 | Zbl