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Publications in Math-Net.Ru |
Citations |
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2023 |
1. |
A. M. Vershik, G. A. Veprev, P. B. Zatitskii, “Dynamics of metrics in measure spaces and scaling entropy”, Uspekhi Mat. Nauk, 78:3(471) (2023), 53–114 ; Russian Math. Surveys, 78:3 (2023), 443–499 |
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2. |
V. I. Vasyunin, P. B. Zatitskii, “Some extremal problems for martingale transforms. I”, Zap. Nauchn. Sem. POMI, 527 (2023), 5–53 |
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2022 |
3. |
P. B. Zatitskiy, D. M. Stolyarov, “On locally concave functions on simplest nonconvex domain”, Zap. Nauchn. Sem. POMI, 512 (2022), 40–87 |
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2018 |
4. |
A. M. Vershik, P. B. Zatitskii, “Combinatorial Invariants of Metric Filtrations and Automorphisms; the Universal Adic Graph”, Funktsional. Anal. i Prilozhen., 52:4 (2018), 23–37 ; Funct. Anal. Appl., 52:4 (2018), 258–269 |
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5. |
A. M. Vershik, P. B. Zatitskii, “On a universal Borel adic space”, Zap. Nauchn. Sem. POMI, 468 (2018), 24–38 ; J. Math. Sci. (N. Y.), 240:5 (2019), 515–524 |
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2017 |
6. |
A. M. Vershik, P. B. Zatitskii, “Universal adic approximation, invariant measures and scaled entropy”, Izv. RAN. Ser. Mat., 81:4 (2017), 68–107 ; Izv. Math., 81:4 (2017), 734–770 |
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2015 |
7. |
A. M. Vershik, P. B. Zatitskii, F. V. Petrov, “Интегрирование виртуально непрерывных функций по бистохастическим мерам и формула следа ядерных операторов”, Algebra i Analiz, 27:3 (2015), 66–74 ; St. Petersburg Math. J., 27:3 (2016), 393–398 |
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8. |
P. B. Zatitskiy, P. Ivanishvili, D. M. Stolyarov, “Bellman vs Beurling: sharp estimates of uniform convexity for $L^p$ spaces”, Algebra i Analiz, 27:2 (2015), 218–231 ; St. Petersburg Math. J., 27:2 (2016), 333–343 |
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9. |
P. B. Zatitskiy, F. V. Petrov, “On the subadditivity of a scaling entropy sequence”, Zap. Nauchn. Sem. POMI, 436 (2015), 167–173 ; J. Math. Sci. (N. Y.), 215:6 (2016), 734–737 |
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10. |
P. B. Zatitskiy, “On the possible growth rate of a scaling entropy sequence”, Zap. Nauchn. Sem. POMI, 436 (2015), 136–166 ; J. Math. Sci. (N. Y.), 215:6 (2016), 715–733 |
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11. |
P. B. Zatitskiy, “Scaling entropy sequence: invariance and examples”, Zap. Nauchn. Sem. POMI, 432 (2015), 128–161 ; J. Math. Sci. (N. Y.), 209:6 (2015), 890–909 |
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2014 |
12. |
P. B. Zatitskii, “On a Scaling Entropy Sequence of a Dynamical System”, Funktsional. Anal. i Prilozhen., 48:4 (2014), 70–74 ; Funct. Anal. Appl., 48:4 (2014), 291–294 |
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13. |
A. M. Vershik, P. B. Zatitskiy, F. V. Petrov, “Virtual continuity of measurable functions and its applications”, Uspekhi Mat. Nauk, 69:6(420) (2014), 81–114 ; Russian Math. Surveys, 69:6 (2014), 1031–1063 |
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2013 |
14. |
A. M. Vershik, P. B. Zatitskii, F. V. Petrov, “Virtual Continuity of Measurable Functions of Several Variables and Embedding Theorems”, Funktsional. Anal. i Prilozhen., 47:3 (2013), 1–11 ; Funct. Anal. Appl., 47:3 (2013), 165–173 |
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2011 |
15. |
A. L. Glazman, P. B. Zatitski, A. S. Sivatski, D. M. Stolyarov, “Forms of higher degree over certain fields”, Zap. Nauchn. Sem. POMI, 394 (2011), 209–217 ; J. Math. Sci. (N. Y.), 188:5 (2013), 591–595 |
16. |
P. B. Zatitskiy, F. V. Petrov, “Correction of metrics”, Zap. Nauchn. Sem. POMI, 390 (2011), 201–209 ; J. Math. Sci. (N. Y.), 181:6 (2012), 867–870 |
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2010 |
17. |
P. B. Zatitskiy, “Canonical embeddings of compact metric spaces”, Zap. Nauchn. Sem. POMI, 378 (2010), 40–46 ; J. Math. Sci. (N. Y.), 174:1 (2011), 19–22 |
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2008 |
18. |
P. B. Zatitskii, “On the coincidence of the canonical embeddings of a metric space into a Banach space”, Zap. Nauchn. Sem. POMI, 360 (2008), 153–161 ; J. Math. Sci. (N. Y.), 158:6 (2009), 853–857 |
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Presentations in Math-Net.Ru |
1. |
Monotonous rearrangements on VMO P. B. Zatitskii
V. I. Smirnov Seminar on Mathematical Physics September 18, 2023 16:30
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2. |
О монотонных перестановках. P. B. Zatitskii
Seminar on Operator Theory and Function Theory April 18, 2022 17:30
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3. |
Об оценках в интегральных задачах на пространствах BMO P. B. Zatitskii
August 12, 2021 17:00
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4. |
Мультипликативные неравенства и BMO P. B. Zatitskii
Seminar on Operator Theory and Function Theory April 26, 2021 17:30
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5. |
Hyperfinite equivalence relations and the Connes-Feldman-Weiss theorem (according to a paper by A.Marks) P. B. Zatitskii
St. Petersburg Seminar on Representation Theory and Dynamical Systems March 4, 2020 17:00
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6. |
Равномерно распределенные меры и векторные поля (по работе М.Содина и Б.Цирельсона) P. B. Zatitskii
Seminar on Probability Theory and Mathematical Statistics March 29, 2019 18:00
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7. |
Функция Беллмана в гармоническом анализе P. B. Zatitskii, D. M. Stolyarov
Meetings of the St. Petersburg Mathematical Society May 17, 2016 18:00
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8. |
$L^p$-аналог неравенства Бесселя и функция Беллмана P. B. Zatitskii
Seminar on Operator Theory and Function Theory March 21, 2016 17:30
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9. |
О масштабирующих энтропийных последовательностях метрических динамических систем P. B. Zatitskii
Sinai Seminar August 4, 2015 14:00
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10. |
On the scaling entropy sequence of a dynamical system P. B. Zatitskii
St. Petersburg Seminar on Representation Theory and Dynamical Systems September 24, 2014 17:00
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11. |
Функция Беллмана: локально вогнутые функции, мартингалы в области, теоремы
вложения и двойственности (по совместной работе с Д. М. Столяровым) P. B. Zatitskii
Seminar on Operator Theory and Function Theory May 19, 2014 17:30
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12. |
Точные константы в неравенствах строгой выпуклости для пространств $L^p$ и $l^p$ P. B. Zatitskii
Seminar on Operator Theory and Function Theory April 29, 2013 17:30
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13. |
Continuous graphs and the Szemeredi regularity lemma P. B. Zatitskii, F. V. Petrov
St. Petersburg Seminar on Representation Theory and Dynamical Systems March 20, 2013 17:00
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14. |
Szemeredi regularity lemma as a compactness theorem (according to a paper by Lovasz and Szegedy) P. B. Zatitskii, F. V. Petrov
St. Petersburg Seminar on Representation Theory and Dynamical Systems February 20, 2013 18:00
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15. |
Random matrix approximation of spectra of integral operators
(according to a paper by Vladimir Koltchinskii and Evarist Gine) P. B. Zatitskii
St. Petersburg Seminar on Representation Theory and Dynamical Systems January 23, 2013 17:00
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16. |
По следам! D. M. Stolyarov, P. B. Zatitskii, A. I. Nazarov
Seminar of Chebyshev Laboratory on Spectral Theory November 9, 2012 15:00
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17. |
The theory of admissible metrics in measure spaces. A proof of the entropy criterion for the discreteness of a spectrum F. V. Petrov, P. B. Zatitskii
St. Petersburg Seminar on Representation Theory and Dynamical Systems April 4, 2012 17:00
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18. |
По следам В. А. Садовничего P. B. Zatitskii
Seminar of Chebyshev Laboratory on Spectral Theory October 14, 2011 14:30
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19. |
Admissibility of the averages of admissible metrics on groups F. V. Petrov, P. B. Zatitskii
St. Petersburg Seminar on Representation Theory and Dynamical Systems December 22, 2010 16:00
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20. |
Canonical embeddings of metric spaces P. B. Zatitskii
St. Petersburg Seminar on Representation Theory and Dynamical Systems September 17, 2010 18:20
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