@article{RM_2021_76_6_a8,
author = {P. A. Borodin and I. A. Ibragimov and B. S. Kashin and V. V. Kozlov and A. V. Kolesnikov and S. V. Konyagin and E. D. Kosov and O. G. Smolyanov and N. A. Tolmachev and D. V. Treshchev and A. V. Shaposhnikov and S. V. Shaposhnikov and A. N. Shiryaev and A. A. Shkalikov},
title = {Vladimir {Igorevich} {Bogachev} (on his 60th birthday)},
journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
pages = {1149--1157},
year = {2021},
volume = {76},
number = {6},
language = {en},
url = {http://geodesic.mathdoc.fr/item/RM_2021_76_6_a8/}
}
TY - JOUR AU - P. A. Borodin AU - I. A. Ibragimov AU - B. S. Kashin AU - V. V. Kozlov AU - A. V. Kolesnikov AU - S. V. Konyagin AU - E. D. Kosov AU - O. G. Smolyanov AU - N. A. Tolmachev AU - D. V. Treshchev AU - A. V. Shaposhnikov AU - S. V. Shaposhnikov AU - A. N. Shiryaev AU - A. A. Shkalikov TI - Vladimir Igorevich Bogachev (on his 60th birthday) JO - Trudy Matematicheskogo Instituta imeni V.A. Steklova PY - 2021 SP - 1149 EP - 1157 VL - 76 IS - 6 UR - http://geodesic.mathdoc.fr/item/RM_2021_76_6_a8/ LA - en ID - RM_2021_76_6_a8 ER -
%0 Journal Article %A P. A. Borodin %A I. A. Ibragimov %A B. S. Kashin %A V. V. Kozlov %A A. V. Kolesnikov %A S. V. Konyagin %A E. D. Kosov %A O. G. Smolyanov %A N. A. Tolmachev %A D. V. Treshchev %A A. V. Shaposhnikov %A S. V. Shaposhnikov %A A. N. Shiryaev %A A. A. Shkalikov %T Vladimir Igorevich Bogachev (on his 60th birthday) %J Trudy Matematicheskogo Instituta imeni V.A. Steklova %D 2021 %P 1149-1157 %V 76 %N 6 %U http://geodesic.mathdoc.fr/item/RM_2021_76_6_a8/ %G en %F RM_2021_76_6_a8
P. A. Borodin; I. A. Ibragimov; B. S. Kashin; V. V. Kozlov; A. V. Kolesnikov; S. V. Konyagin; E. D. Kosov; O. G. Smolyanov; N. A. Tolmachev; D. V. Treshchev; A. V. Shaposhnikov; S. V. Shaposhnikov; A. N. Shiryaev; A. A. Shkalikov. Vladimir Igorevich Bogachev (on his 60th birthday). Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 76 (2021) no. 6, pp. 1149-1157. http://geodesic.mathdoc.fr/item/RM_2021_76_6_a8/
[1] V. I. Bogachev, “Negligible sets and differentiable measures in Banach spaces”, Moscow Univ. Math. Bull., 37:3 (1982), 54–59 | MR | Zbl
[2] V. I. Bogachev, “Three problems of Aronszajn in measure theory”, Funct. Anal. Appl., 18:3 (1984), 242–244 | DOI | MR | Zbl
[3] V. I. Bogachev, “Some results on differentiable measures”, Math. USSR-Sb., 55:2 (1986), 335–349 | DOI | MR | Zbl
[4] V. I. Bogachev, “On Skorokhod differentiability of measures”, Theory Probab. Appl., 33:2 (1988), 330–334 | DOI | MR | Zbl
[5] V. I. Bogachev, O. G. Smolyanov, “Analytic properties of infinite-dimensional distributions”, Russian Math. Surveys, 45:3 (1990), 1–104 | DOI | MR | Zbl
[6] V. I. Bogachev, “Functionals of random processes and infinite-dimensional oscillatory integrals connected with them”, Russian Acad. Sci. Izv. Math., 40:2 (1993), 235–266 | DOI | MR | Zbl
[7] V. I. Bogachev, M. Röckner, “Les capacités gaussiennes sont portées par des compacts métrisables”, C. R. Acad. Sci. Paris Sér. I Math., 315:2 (1992), 197–202 | MR | Zbl
[8] V. I. Bogachev, M. Röckner, “Regularity of invariant measures on finite and infinite dimensional spaces and applications”, J. Funct. Anal., 133:1 (1995), 168–223 | DOI | MR | Zbl
[9] V. I. Bogachev, M. Röckner, B. Schmuland, “Generalized Mehler semigroups and applications”, Probab. Theory Related Fields, 105:2 (1996), 193–225 | DOI | MR | Zbl
[10] V. I. Bogachev, Gaussian measures, Math. Surveys Monogr., 62, Amer. Math. Soc., Providence, RI, 1998, xii+433 pp. | DOI | MR | MR | Zbl | Zbl
[11] V. I. Bogachev, “On the small balls problem for equivalent Gaussian measures”, Sb. Math., 189:5 (1998), 683–705 | DOI | DOI | MR | Zbl
[12] S. Albeverio, V. Bogachev, M. Röckner, “On uniqueness of invariant measures for finite- and infinite-dimensional diffusions”, Comm. Pure Appl. Math., 52:3 (1999), 325–362 | 3.0.CO;2-V class='badge bg-secondary rounded-pill ref-badge extid-badge'>DOI | MR | Zbl
[13] V. Bogachev, M. Röckner, “A generalization of Khasminskii's theorem on the existence of invariant measures for locally integrable drifts”, Theory Probab. Appl., 45:3 (2001), 363–378 | DOI | DOI | MR | Zbl
[14] V. I. Bogachev, A. V. Kolesnikov, “Open mappings of probability measures and the Skorokhod representation theorem”, Theory Probab. Appl., 46:1 (2002), 20–38 | DOI | DOI | MR | Zbl
[15] V. I. Bogachev, N. V. Krylov, M. Röckner, “On regularity of transition probabilities and invariant measures of singular diffusions under minimal conditions”, Comm. Partial Differential Equations, 26:11-12 (2001), 2037–2080 | DOI | MR | Zbl
[16] V. I. Bogachev, M. Röckner, W. Stannat, “Uniqueness of solutions of elliptic equations and uniqueness of invariant measures of diffusions”, Sb. Math., 193:7 (2002), 945–976 | DOI | DOI | MR | Zbl
[17] V. I. Bogachev, Osnovy teorii mery, v. 1, 2, NITs “Regulyarnaya i khaoticheskaya dinamika”, M.–Izhevsk, 2003, 544 s., 576 pp.; 2-Рμ РёР·Рґ., 2006, 584 c., 680 СЃ.; 3-Рμ РёР·Рґ., 2020, 584 c., 688 СЃ.; V. I. Bogachev, Measure theory, С‚. I, II, Springer-Verlag, Berlin, 2007, xviii+500 pp., xiv+575 СЃ. | DOI | MR | Zbl
[18] V. I. Bogachev, A. V. Kolesnikov, “On the Monge–Ampère equation in infinite dimensions”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 8:4 (2005), 547–572 | DOI | MR | Zbl
[19] V. I. Bogachev, A. V. Kolesnikov, K. V. Medvedev, “Triangular transformations of measures”, Sb. Math., 196:3 (2005), 309–335 | DOI | DOI | MR | Zbl
[20] V. I. Bogachev, È. Priola, N. A. Tolmachev, “On Fréchet differentiability of Lipschitzian functions on spaces with Gaussian measures”, Dokl. Math., 75:3 (2007), 353–357 | DOI | MR | Zbl
[21] V. I. Bogachev, Differentiable measures and the Malliavin calculus, Math. Surveys Monogr., 164, Amer. Math. Soc., Providence, RI, 2010, xvi+488 pp. | DOI | MR | Zbl
[22] V. I. Bogachev, N. V. Krylov, M. Röckner, “Elliptic and parabolic equations for measures”, Russian Math. Surveys, 64:6 (2009), 973–1078 | DOI | DOI | MR | Zbl
[23] V. I. Bogachev, O. G. Smolyanov, Deistvitelnyi i funktsionalnyi analiz: universitetskii kurs, NITs “Regulyarnaya i khaoticheskaya dinamika”, M.–Izhevsk, 2009, 724 pp.; 2-Рμ РёР·Рґ., 2011, 728 СЃ.; 3-Рμ РёР·Рґ., 2020, 756 СЃ.; V. I. Bogachev, O. G. Smolyanov, Real and functional analysis, Mosc. Lect., 4, Springer, Cham, 2020, 586 СЃ. | DOI | MR | Zbl
[24] V. I. Bogachev, A. V. Kolesnikov, “The Monge–Kantorovich problem: achievements, connections, and perspectives”, Russian Math. Surveys, 67:5 (2012), 785–890 | DOI | DOI | MR | Zbl
[25] V. I. Bogachev, A. V. Kolesnikov, “Sobolev regularity for the Monge–Ampère equation in the Wiener space”, Kyoto J. Math., 53:4 (2013), 713–738 | DOI | MR | Zbl
[26] V. I. Bogachev, N. V. Krylov, M. Röckner, S. V. Shaposhnikov, Fokker–Planck–Kolmogorov equations, Math. Surveys Monogr., 207, Amer. Math. Soc., Providence, RI, 2015, xii+479 pp. | DOI | MR | Zbl
[27] V. I. Bogachev, A. Yu. Pilipenko, A. V. Shaposhnikov, “Sobolev functions on infinite-dimensional domains”, J. Math. Anal. Appl., 419:2 (2014), 1023–1044 | DOI | MR | Zbl
[28] V. I. Bogachev, “Distributions of polynomials on multidimensional and infinite-dimensional spaces with measures”, Russian Math. Surveys, 71:4 (2016), 703–749 | DOI | DOI | MR | Zbl
[29] V. I. Bogachev, M. Röckner, S. V. Shaposhnikov, “Distances between transition probabilities of diffusions and applications to nonlinear Fokker–Planck–Kolmogorov equations”, J. Funct. Anal., 271:5 (2016), 1262–1300 | DOI | MR | Zbl
[30] V. I. Bogachev, S. V. Shaposhnikov, “Integrability and continuity of solutions to double divergence form equations”, Ann. Mat. Pura Appl. (4), 196:5 (2017), 1609–1635 | DOI | MR | Zbl
[31] V. I. Bogachev, O. G. Smolyanov, Topological vector spaces and their applications, Springer Monogr. Math., Springer, Cham, 2017, x+456 pp. | DOI | MR | Zbl
[32] V. I. Bogachev, “Ornstein–Uhlenbeck operators and semigroups”, Russian Math. Surveys, 73:2 (2018), 191–260 | DOI | DOI | MR | Zbl
[33] V. I. Bogachev, Weak convergence of measures, Math. Surveys Monogr., 234, Amer. Math. Soc., Providence, RI, 2018, xii+286 pp. | DOI | MR | Zbl
[34] V. I. Bogachev, E. D. Kosov, G. I. Zelenov, “Fractional smoothness of distributions of polynomials and a fractional analog of the Hardy–Landau–Littlewood inequality”, Trans. Amer. Math. Soc., 370:6 (2018), 4401–4432 | DOI | MR | Zbl
[35] V. I. Bogachev, S. N. Popova, S. V. Shaposhnikov, “On Sobolev regularity of solutions to Fokker–Planck–Kolmogorov equations with drifts in $L^1$”, Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl., 30:1 (2019), 205–221 | DOI | MR | Zbl
[36] V. I. Bogachev, M. Röckner, S. V. Shaposhnikov, “Convergence in variation of solutions of nonlinear Fokker–Planck–Kolmogorov equations to stationary measures”, J. Funct. Anal., 276:12 (2019), 3681–3713 | DOI | MR | Zbl
[37] V. I. Bogachev, A. V. Shaposhnikov, S. V. Shaposhnikov, “Log-Sobolev-type inequalities for solutions to stationary Fokker–Planck–Kolmogorov equations”, Calc. Var. Partial Differential Equations, 58:5 (2019), 176, 16 pp. | DOI | MR | Zbl
[38] V. I. Bogachev, “Non-uniform Kozlov–Treschev averagings in the ergodic theorem”, Russian Math. Surveys, 75:3 (2020), 393–425 | DOI | DOI | MR | Zbl
[39] V. I. Bogachev, T. I. Krasovitskii, S. V. Shaposhnikov, “The Kolmogorov problem on uniqueness of probability solutions of a parabolic equation”, Dokl. Math., 102:3 (2020), 464–467 | DOI | DOI
[40] V. I. Bogachev, I. I. Malofeev, “Kantorovich problems and conditional measures depending on a parameter”, J. Math. Anal. Appl., 486:1 (2020), 123883, 30 pp. | DOI | MR | Zbl