One property of the multiple Rademacher system and its applications to problems of graph discrepancy
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 79 (2024) no. 4, pp. 727-729 Cet article a éte moissonné depuis la source Math-Net.Ru

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S. V. Astashkin; K. V. Lykov. One property of the multiple Rademacher system and its applications to problems of graph discrepancy. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 79 (2024) no. 4, pp. 727-729. http://geodesic.mathdoc.fr/item/RM_2024_79_4_a6/

[1] M. Talagrand, Mean field models for spin glasses, v. I, Ergeb. Math. Grenzgeb. (3), 54, Basic examples, Springer, Heidelberg, 2011, xviii+485 pp. ; v. II, Ergeb. Math. Grenzgeb. (3), 55, Advanced replica-symmetry and low temperature, 2011, xii+629 pp. | DOI | MR | Zbl | DOI | MR | Zbl

[2] S. V. Astashkin and K. V. Lykov, Izv. Math., 88:1 (2024), 1–17 | DOI | MR | Zbl

[3] S. V. Astashkin, The Rademacher system in function spaces, Birkhäuser/Springer, Cham, 2020, xx+559 pp. | DOI | MR | Zbl

[4] P. Billard, S. Kwapień, A. Pełczyński, and Ch. Samuel, Texas functional analysis seminar 1985–1986 (Austin, TX 1985–1986), Longhorn Notes, Univ. Texas, Austin, TX, 1986, 13–35 | MR | Zbl

[5] V. H. de la Peña and E. Giné, Decoupling. From dependence to independence. Randomly stopped processes. $U$-statistics and processes. Martingales and beyond, Probab. Appl. (N. Y.), Springer-Verlag, New York, 1999, xvi+392 pp. | DOI | MR | Zbl

[6] R. Adamczak, J. Prochno, M. Strzelecka, and M. Strzelecki, Math. Ann., 388:4 (2024), 3463–3527 | DOI | MR | Zbl

[7] G. Bennett, Duke Math. J., 44:3 (1977), 603–639 | DOI | MR | Zbl

[8] N. Alon and A. Naor, STOC {'}04: Proceedings of the 36th annual ACM symposium on theory of computing, ACM Press, New York, 2004, 72–80 | DOI | MR | Zbl

[9] N. Alon and J. H. Spencer, The probabilistic method, Wiley-Intersci. Ser. Discrete Math. Optim., 2nd ed., Wiley-Interscience [John Wiley Sons], New York, 2000, xviii+301 pp. | DOI | MR | Zbl

[10] A. M. Raigorodskii and D. D. Cherkashin, Russian Math. Surveys, 75:1 (2020), 89–146 | DOI | MR | Zbl

[11] P. Erdös and J. Spencer, Networks, 1:4 (1971/72), 379–385 | DOI | MR | Zbl

[12] J. Balogh, D. Cherkashin, and S. Kiselev, European J. Combin., 79 (2019), 228–236 | DOI | MR | Zbl