Persons: Remizov, Ivan D

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Remizov, Ivan D

Total publications:	26 (20)
in MathSciNet:	14 (13)
in zbMATH:	9 (8)
in Web of Science:	12 (12)
in Scopus:	13 (13)
Cited articles:	15
Citations:	123
Presentations:	13

Number of views:
This page:	2388
Abstract pages:	1973
Full texts:	478
References:	284

Candidate of physico-mathematical sciences

E-mail:

Keywords:

$C_0$-semigroup, Chernoffs theorem, Chernoff-tangency.

Subject:

Solving evolution equations (heat-type and Schrödinger-type) equations via Feynman formulas, quasi-Feynman integral formulas and formulas obtained via the shift operator

Feynman and quasi-Feynman integral formulas

Main publications:

Sonia Mazzucchi, Valter Moretti, Ivan Remizov, Oleg Smolyanov, “Chernoff approximations of Feller semigroups in Riemannian manifolds”, Mathematische Nachrichten, 296:3 (2023), 1244-1284 , arXiv: https://arxiv.org/abs/2002.06606
O. E. Galkin, I. D. Remizov, “Rate of Convergence of Chernoff Approximations of Operator $C_0$-Semigroups”, Math. Notes, 111:2 (2022), 305–307
I.D.Remizov, “Formulas that represent Cauchy problem solution for momentum and position Schrödinger equation”, Potential Analysis, 52 (2020), 339–370 https://link.springer.com/article/10.1007
Ivan D. Remizov, “Solution-giving formula to Cauchy problem for multidimensional parabolic equation with variable coefficients”, Journal of Mathematical Physics, 60:7 (2019), 071505 https://aip.scitation.org/doi/10.1063/1.5038102
I.D.Remizov, “Explicit formula for evolution semigroup for diffusion in Hilbert space”, Infinite Dimensional Analysis, Quantum Probability and Related Topics, 21:4 (2018), 1850025 , 35 pp. https://doi.org/10.1142/S021902571850025X
I. D. Remizov, “Feynman and Quasi-Feynman Formulas for Evolution Equations”, Doklady Mathematics, 96:2 (2017), 433–437
Ivan D. Remizov, “Quasi-Feynman formulas – a method of obtaining the evolution operator for the Schrödinger equation”, Journal of Functional Analysis, 270:12 (2016), 4540-4557 , arXiv: 1409.8345

https://www.mathnet.ru/eng/person76353

https://scholar.google.com/citations?user=q8PyQNMAAAAJ&hl=en

List of publications on ZentralBlatt

https://mathscinet.ams.org/mathscinet/MRAuthorID/990338

https://elibrary.ru/author_items.asp?spin=7776-0461

ISTINA

https://istina.msu.ru/workers/83899157

https://orcid.org/0000-0002-1968-0793

https://www.webofscience.com/wos/author/record/F-3374-2018

https://www.scopus.com/authid/detail.url?authorId=55355084100

Full list of publications:

scientific publications

by years

by types

by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)


2024
1.	O. E. Galkin, I. D. Remizov, “Upper and lower estimates for rate of convergence in the Chernoff product formula for semigroups of operators”, Israel Journal of Mathematics, 2024, ?-? (to appear) , arXiv: https://arxiv.org/abs/2104.01249 (accepted for publication, expected to be published in 2024)

2023
2.	Sonia Mazzucchi, Valter Moretti, Ivan Remizov, Oleg Smolyanov, “Chernoff approximations of Feller semigroups in Riemannian manifolds”, Mathematische Nachrichten, 296:3 (2023), 1244-1284 , arXiv: https://arxiv.org/abs/2002.06606	2 ^[x]
3.	I.D.Remizov, Chernoff approximations as a way of finding the resolvent operator with applications to finding the solution of linear ODE with variable coefficients, 2023 (Published online) , 11 pp., arXiv: https://arxiv.org/abs/2301.06765
4.	K. A. Dragunova, N. Nikbakht, I. D. Remizov, “Chislennoe issledovanie skorosti skhodimosti chernovskikh approksimatsii k resheniyam uravneniya teploprovodnosti”, Zhurnal Srednevolzhskogo matematicheskogo obschestva, 2023, 25, no. 4, 255-272	1 ^[x]
5.	I. D. Remizov, Nekotorye oboznacheniya i fakty teorii mnozhestv. Predvaritelnye svedeniya dlya izuchayuschikh funktsionalnyi analiz., Radonezh, N.Novgorod, 2023 , 28 pp., (uchebnoe posobie, ISBN 978-5-6049963-4-5)

2022
6.	O. E. Galkin, I. D. Remizov, “Rate of Convergence of Chernoff Approximations of Operator $C_0$-Semigroups”, Math. Notes, 111:2 (2022), 305–307

2021
7.	O. V. Anashkin, P. M. Akhmet'ev, D. V. Balandin, M. K. Barinova, I. V. Boykov, V. N. Belykh, P. A. Vel'misov, I. Yu. Vlasenko, O. E. Galkin, S. Yu. Galkina, V. K. Gorbunov, S. D. Glyzin, S. V. Gonchenko, A. S. Gorodetski, E. V. Gubina, E. Ya. Gurevich, A. A. Davydov, L. S. Efremova, R. V. Zhalnin, A. Yu. Zhirov, E. V. Zhuzhoma, N. I. Zhukova, S. Kh. Zinina, Yu. S. Ilyashenko, N. V. Isaenkova, A. O. Kazakov, A. V. Klimenko, S. A. Komech, Yu. A. Kordyukov, V. E. Kruglov, E. V. Kruglov, E. B. Kuznetsov, S. K. Lando, Yu. A. Levchenko, L. M. Lerman, M. I. Malkin, D. S. Malyshev, V. K. Mamaev, T. Ph. Mamedova, V. S. Medvedev, T. V. Medvedev, D. I. Mints, T. M. Mitryakova, A. D. Morozov, A. I. Morozov, E. V. Nozdrinova, E. N. Pelinovsky, Ya. B. Pesin, A. S. Pikovsky, S. Yu. Pilyugin, G. M. Polotovsky, O. V. Pochinka, I. D. Remizov, P. E. Ryabov, A. S. Skripchenko, A. V. Slunyaev, S. V. Sokolov, L. A. Sukharev, E. A. Talanova, V. A. Timorin, S. B. Tikhomirov, V. F. Tishkin, D. V. Treschev, D. , “To the 75th anniversary of Vyacheslav Zigmundovich Grines”, Zhurnal SVMO, 23:4 (2021), 472–476

2020
8.	I.D.Remizov, “Formulas that represent Cauchy problem solution for momentum and position Schrödinger equation”, Potential Analysis, 52 (2020), 339–370 https://link.springer.com/article/10.1007	5 ^[x]
9.	A. V. Vedenin, V. S. Voevodkin, V. D. Galkin, E. Yu. Karatetskaya, I. D. Remizov, “Speed of Convergence of Chernoff Approximations to Solutions of Evolution Equations”, Math. Notes, 108:3 (2020), 451–456

2019
10.	Ivan D. Remizov, “Solution-giving formula to Cauchy problem for multidimensional parabolic equation with variable coefficients”, Journal of Mathematical Physics, 60:7 (2019), 071505 https://aip.scitation.org/doi/10.1063/1.5038102	7 ^[x]

2018
11.	Ivan D. Remizov, “Approximations to the solution of Cauchy problem for a linear evolution equation via the space shift operator (second-order equation example)”, Applied Mathematics and Computation, 328 (2018), 243–246 , arXiv: https://arxiv.org/abs/1605.03908	8 ^[x]
12.	I. D. Remizov, M. F. Starodubtseva, “Quasi-Feynman Formulas providing Solutions of Multidimensional Schrödinger Equations with Unbounded Potential”, Math. Notes, 104:5 (2018), 767–772
13.	I.D.Remizov, “Explicit formula for evolution semigroup for diffusion in Hilbert space”, Infinite Dimensional Analysis, Quantum Probability and Related Topics, 21:4 (2018), 1850025 , 35 pp. https://doi.org/10.1142/S021902571850025X	6 ^[x]

2017
14.	Grishin D.V., Pavlovskii Ya.Yu., Remizov I.D., Rozhkova E.S., Samsonov D.A., “O novoi forme predstavleniya resheniya zadachi Koshi dlya uravneniya Shredingera na pryamoi”, Vestnik MGTU im. N.E.Baumana, 70:1 (2017), 26–42 http://vestniken.ru/catalog/math/mathphys/735.html
15.	I.D.Remizov, “New Method for Constructing Chernoff Functions”, Differential Equations, 53:4 (2017), 566–570
16.	I. D. Remizov, “Feynman and Quasi-Feynman Formulas for Evolution Equations”, Doklady Mathematics, 96:2 (2017), 433–437

2016
17.	Ivan D. Remizov, “Quasi-Feynman formulas – a method of obtaining the evolution operator for the Schrödinger equation”, Journal of Functional Analysis, 270:12 (2016), 4540-4557 , arXiv: 1409.8345	31 ^[x]
18.	I. D. Remizov, “Solution of the Schrödinger Equation with the Use of the Translation Operator”, Math. Notes, 100:3 (2016), 499–503

2015
19.	I. D. Remizov, “Reshenie parabolicheskogo differentsialnogo uravneniya v gilbertovom prostranstve s pomoschyu formuly Feinmana - I ”, Model. i analiz inform. sistem, 22:3 (2015), 337–355	4 ^[x]
20.	I. D. Remizov, “Kvazifeinmanovskie formuly dlya unitarnoi gruppy operatorov s generatorom v vide summy operatorov”, Materialy mezhdunarodnoi nauchnoi konferentsii «Teoriya priblizheniya funktsii i rodstvennye zadachi analiza», posvyaschennoi pamyati doktora fiziko-matematicheskikh nauk, professora P.P. Korovkina (Kaluga, 09-10 oktyabrya 2015 g.), Izdatelstvo Kaluzhskogo gosudarstvennogo universiteta imeni K.E. Tsiolkovskogo, 2015, 65–67

2014
21.	G. M. Polotovskii, I. D. Remizov, “Buterbrody i noski v kurse vysshei algebry”, Matematika v vysshem obrazovanii, 2014, no. 12, 9–14 http://www.unn.ru/math/no/12/_nom12_001_pol_remiz.pdf (uchebno-metodicheskaya statya)

2012
22.	I.D. Remizov, “Solution of a Cauchy problem for a diffusion equation in a Hilbert space by a Feynman formula”, Russian Journal of Mathematical Physics, 19:3 (2012), 360–372	12 ^[x]
23.	Valery Beloshapka, Aleksey Kalinin, Michael Kuznetsov, Kirill Mayorov, Grigory Polotovskiy, Ivan Remizov, Yakov Sennikovskiy, George Shabat, Mikhail Tokman, Alexander Tumanov, Grigoriy Zhislin, “Alexander Abrosimov”, Notices of the American Mathematical Society, 59:11 (2012), 1569–1570 http://www.ams.org/notices/201211/rtx121101569p.pdf (obituary)
24.	I. D. Remizov, Nekotorye oboznacheniya i fakty teorii mnozhestv, uchebnoe posobie, 2-e izd., Popechitelskii sovet mekhanko-matematicheskogo fakulteta MGU im. M.V. Lomonosova, Moskva, 2012 , 27 pp., tirazh 1000 ekz. http://lib.mexmat.ru/books/88253

2009
25.	Ivan D. Remizov, Alexei V. Savvateev, D(Maximum) = P(Argmaximum), 2009 (Published online) , 2 pp., arXiv: 0911.0027
26.	I. D. Remizov, “Matematicheskaya teoriya komarov”, Nauchno-metodicheskii sbornik “Arkhimed”, 2009, izdanie instituta logiki, kognitologii i razvitiya lichnosti, no. 5, 136-146 http://ivanremizov.ru/komariki.pdf (nauchno-yumoristicheskaya statya)

Presentations in Math-Net.Ru

1.	Error of Chernoff approximations based on Chernoff function with a given t^2-coefficient O. E. Galkin, S. Yu. Galkina, I. D. Remizov III International Conference “Mathematical Physics, Dynamical Systems, Infinite-Dimensional Analysis”, dedicated to the 100th anniversary of V.S. Vladimirov, the 100th anniversary of L.D. Kudryavtsev and the 85th anniversary of O.G. Smolyanov July 7, 2023 16:10
2.	Chernoff approximations for resolvents of generators of $C_0$-semigroups I. D. Remizov One-Parameter Semigroups of Operators (OPSO 2023) March 3, 2023 13:15
3.	Open problems event J. Glück, I. D. Remizov One-Parameter Semigroups of Operators (OPSO) 2022 February 18, 2022 16:00
4.	Approximations to solutions of Schrödinger equation with Hamiltonian that includes variable coefficients and derivatives of arbitrary high order I. D. Remizov One-Parameter Semigroups of Operators (OPSO) 2022 February 14, 2022 16:00
5.	Upper and lower estimates for the speed of convergence of Chernoff approximations of operator semigroups O. E. Galkin, I. D. Remizov One-Parameter Semigroups of Operators (OPSO) 2021 April 6, 2021 12:50
6.	How to obtain $\exp(-itH)$ for arbitrary self-adjoint $H$ if for each $t>0$ you know $\exp(-tH)$ or $\exp(tH)$ or even less I. D. Remizov One-Parameter Semigroups of Operators (OPSO) 2021 April 6, 2021 12:15
7.	О новых методах аппроксимации решений эволюционных уравнений с переменными коэффициентами I. D. Remizov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS February 27, 2020 11:00
8.	Неспектральные методы аппроксимации $С_0$-полугрупп и скорость сходимости в теореме Чернова I. D. Remizov Operator models in mathematical physics November 29, 2019 16:45
9.	Новые приложения функции Чернова с оператором сдвига I. D. Remizov Infinite dimensional analysis and mathematical physics September 4, 2017 18:30
10.	On a new relation between solutions of the heat equation and Schrodinger equation I. D. Remizov Quantum physics and quantum information April 26, 2016 11:00
11.	Решение уравнения Шрёдингера, построенное с помощью оператора сдвига I. D. Remizov Infinite dimensional analysis and mathematical physics February 22, 2016 18:30
12.	О новых задачах, связанных с квазифейнмановскими формулами I. D. Remizov Infinite dimensional analysis and mathematical physics September 7, 2015 18:30
13.	Квазифейнмановские формулы для группы Шредингера: что это, как их получать, какая от них польза I. D. Remizov International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii May 29, 2015 17:55

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