Persons: Zelenov, Evgenii Igorevich

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Zelenov, Evgenii Igorevich

Statistics
in MathSciNet:	24 (24)
in zbMATH:	22 (22)
in Web of Science:	18 (18)
in Scopus:	20 (20)

Doctor of physico-mathematical sciences (2019)

Speciality:

01.01.03 (Mathematical physics)

Birth date:

5.07.1966

E-mail:

UDC:

512.625.5, 517.958:530.145, 517.958:530.145:512, 517.983.37, 519.214.7, 519.728.4

Subject:

p-adic mathematical physics

Main publications:

V. S. Vladimirov, I. V. Volovich, E. I. Zelenov, p-Adic analysis and mathematical physics, World Scientific, Singapore-New Jersey-London-Yjng Kong, 1994
E. I. Zelenov, “p-Adic Heisenberg group and Maslov index”, Communications in mathematical physics, 155:3 (1993), 489–502

https://www.mathnet.ru/eng/person20623

https://scholar.google.com/citations?user=M200XUcAAAAJ&hl=en

https://mathscinet.ams.org/mathscinet/MRAuthorID/262913

https://elibrary.ru/author_items.asp?authorid=4628

https://orcid.org/0000-0002-6988-134X

https://www.webofscience.com/wos/author/record/G-9679-2013

https://www.scopus.com/authid/detail.url?authorId=56034331500

List of publications:

scientific publications

by years

by types

by times cited

common list

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

1.	B. Dragovich, A. Yu. Khrennikov, S. V. Kozyrev, I. V. Volovich, E. I. Zelenov, “p-Adic Mathematical Physics: The First 30 Years”, P-Adic Numbers Ultrametric Anal. Appl., 9:2 (2017), 87–121 , arXiv: 1705.04758	107 ^[x]
2.	V. S. Vladimirov, I. V. Volovich, E. I. Zelenov, “Spectral theory in $p$-adic quantum mechanics, and representation theory”, Math. USSR-Izv., 36:2 (1991), 281–309
3.	E. I. Zelenov, “p-Adic path integrals”, Journal of mathematical physics, 32:1 (1991), 147–152	16 ^[x]
4.	E. I. Zelenov, “$p$-Adic quantum mechanics for $p=2$”, Theoret. and Math. Phys., 80:2 (1989), 848–856
5.	E. I. Zelenov, “$p$-Adic quantum mechanics and coherent states”, Theoret. and Math. Phys., 86:2 (1991), 143–151
6.	E. I. Zelenov, “p-Adic Heisenberg group and Maslov index”, Communications in Mathematical physics, 155:3 (1993), 489–502	9 ^[x]
7.	E. I. Zelenov, “$p$-adic model of quantum mechanics and quantum channels”, Proc. Steklov Inst. Math., 285 (2014), 132–144
8.	E. I. Zelenov, “The infinite-demensional $p$-adic symplectic group”, Russian Acad. Sci. Izv. Math., 43:3 (1994), 421–441
9.	E. I. Zelenov, “$p$-adic quantum mechanics and coherent states 2. Oscillator eigenfunctions”, Theoret. and Math. Phys., 86:3 (1991), 258–265
10.	E. I. Zelenov, “Entropy Gain in $p$-Adic Quantum Channels”, Phys. Part. Nucl., 51:4 (2020), 485–488
11.	E. I. Zelenov, “Representations of commutations relations for p‐adic systems of infinitely many degrees of freedom”, Journal of mathematical physics, 33:1 (1992), 178–188	6 ^[x]
12.	E. I. Zelenov, “Quantum approximation theorem”, p-Adic Numbers, Ultrametric Anal. Appl., 1:1 (2009), 88–90	5 ^[x]
13.	S. V. Fischenko, E. I. Zelenov, “p‐Adic Models of Turbulence”, AIP Conference Proceedings, 826, AIP, 2006, 174–191	4 ^[x]
14.	Evgeny Zelenov, “On geometry of $p$-adic coherent states and mutually unbiased bases”, Entropy, 25:6 (2023), 902 , 8 pp.	3 ^[x]
15.	E. I. Zelenov, “The $p$-adic law of large numbers”, Izv. Math., 80:3 (2016), 489–499
16.	E. I. Zelenov, “Coordinate and momentum operators in $p$-adic quantum mechanics”, Theoret. and Math. Phys., 164:3 (2010), 1190–1197
17.	V. S. Vladimirov, I. V. Volovich, E. I. Zelenov, “Spectral theory in $p$-adic quantum mechanics and representation theory”, Dokl. Math., 41:1 (1990), 40–44
18.	E. I. Zelenov, “$p$-adic Brownian motion”, Izv. Math., 80:6 (2016), 1084–1093
19.	E. I. Zelenov, “On geometrical interpretation of the p-adic Maslov index”, Communications in Mathematical physics, 159:3 (1994), 539-547	2 ^[x]
20.	Evgeny I. Zelenov, “On the Minimum of the Wehrl Entropy for a Locally Compact Abelian Group”, Proc. Steklov Inst. Math., 324 (2024), 86–90
21.	Evgeny Zelenov, “Coherent states of the $p$-adic Heisenberg group and entropic uncertainty relations”, P-Adic Numbers Ultrametric Anal. Appl., 15:3 (2023), 195–203	1 ^[x]
22.	E. I. Zelenov, “$p$-Adic Gaussian Random Variables”, Proc. Steklov Inst. Math., 306 (2019), 120–126
23.	E. I. Zelenov, “Models of $p$-adic mechanics”, Theoret. and Math. Phys., 174:2 (2013), 247–252
24.	E. I. Zelenov, “Adelic decoherence”, p-Adic Numbers, Ultrametric Anal. Appl., 4:1 (2012), 84–87	1 ^[x]
25.	E. I. Zelenov, “$p$-Adic BMO and VMO functions”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 1(22) (2011), 90–92
26.	E. I. Zelenov, “On geometry of $p$-adic polynomials”, Int. J. Mod. Phys. A, 37:20-21 (2022), 2243026 , 5 pp.
27.	E. I. Zelenov, “A Note on Decoherence and Fractal Hamiltonians”, Lobachevskii J. Math., 41:4 (2020), 742–745 , arXiv: 2009.14633
28.	E. I. Zelenov, “Qualitative theory of $p$-adic dynamical systems”, Theoret. and Math. Phys., 178:2 (2014), 194–201
29.	E. I. Zelenov, “The $p$-adic quantum differential”, Theoret. and Math. Phys., 168:2 (2011), 1035–1040
30.	E. I. Zelenov, “Kvantovaya mekhanika i Kolmogorovskaya slozhnost”, Vestnik Sam. GU. Ser. estestvennonauchnaya, 8/1:67 (2010), 108-115
31.	E. I. Zelenov, “Equivalence of commutation relations”, Theoret. and Math. Phys., 157:3 (2008), 1707–1712
32.	E. I. Zelenov, “p-Adic mathematical physics and space-time”, Gravitation and cosmology, 1:3 (1995), 243-246
33.	V. S. Vladimirov, I. V. Volovich, E. I. Zelenov, p-Adicheskii analiz i matematicheskaya fizika, Fizmatlit, Moskva, 1994 , 352 pp.

Presentations in Math-Net.Ru

1.	p-Адические линейные бозонные каналы E. I. Zelenov Seminar on Quantum Probability, Statistics, Information March 31, 2025 16:20
2.	Планковская длина и метрическая геометрия E. I. Zelenov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS September 26, 2024 11:00
3.	Взаимно несмещенные базисы, матрицы Адамара и кривые Мамфорда-Шоттки E. I. Zelenov Seminar on Quantum Probability, Statistics, Information February 26, 2024 16:20
4.	p-Адическая модель квантовой механики и взаимно несмещенные базисы E. I. Zelenov November 9, 2023 18:30
5.	Энтропия Верля и группа Гейзенберга E. I. Zelenov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS November 2, 2023 11:00
6.	On the Wehrl entropy lower bound for a locally compact abelian group E. I. Zelenov 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 8, 2023 12:35
7.	On geometry of p-adic coherent states and mutually unbiased bases E. I. Zelenov International Conference Dedicated to the 100th Anniversary of the Birthday of V. S. Vladimirov (Vladimirov-100) January 9, 2023 13:30
8.	Coherent states of the p-adic Heisenberg group, heterodyne measurements and entropy uncertainty relation E. I. Zelenov International Conference "New Trends in Mathematical Physics" November 7, 2022 12:00
9.	О геометрии $p$-адических многочленов E. I. Zelenov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS June 2, 2022 11:00
10.	$p$-Adic Theory of the Fractional Quantum Hall Effect E. I. Zelenov International Conference "Selected Topics in Mathematical Physics" Dedicated to 75-th Anniversary of I. V. Volovich September 30, 2021 11:55
11.	p-Adic quantized calculus and ideals of compact operators Evgeny Zelenov International Conference on Mathematical Physics in Memory of Academic V. S. Vladimirov November 26, 2020 17:45
12.	Декогеренция и фрактальные Гамильтонианы E. I. Zelenov Conference on Mathematical Methods for Quantum Technologies November 5, 2020 12:45
13.	р-Адическое некоммутативное дифференциальное исчисление и пространства Бесова E. I. Zelenov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS February 6, 2020 11:00
14.	$p$-Адическое некоммутативное дифференциальное исчисление E. I. Zelenov International conference "8th Russian-Armenian Workshop on Mathematical Physics, Complex Analysis and Related Topics" September 17, 2019 15:50
15.	Entropy gain in p-adic quantum channels E. I. Zelenov International Bogolyubov Conference Problems of Theoretical and Mathematical Physics dedicated to the 110th anniversary of N. N. Bogolyubov's birth September 10, 2019 11:40
16.	Некоторые вопросы $p$-адической математической физики E. I. Zelenov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS November 1, 2018 11:00
17.	Формула Юзвинского для энтропии, квантовые бозонные каналы и космология E. I. Zelenov International Conference of Mathematical Physics dedicated to the memory of academician V. S. Vladimirov November 9, 2017 15:45
18.	Топологическая анти-декогерентность в модели спинового бассейна E. I. Zelenov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS April 13, 2017 11:00
19.	$p$-Адические нормальные распределения E. I. Zelenov V.P. Mikhailov seminar March 16, 2017 13:30
20.	$p$–Адические гауссовские случайные величины E. I. Zelenov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS March 2, 2017 11:00
21.	Statistical properties of p-adic systems Evgeny Zelenov New Trends in Mathematical and Theoretical Physics October 7, 2016 10:00
22.	$p$-adic Quantum Mechanics and Quantum Channels E. I. Zelenov Mathematical problems of quantum theory of nanosystems and photosynthesis September 17, 2015 17:00
23.	Центральная предельная теорема для $р$-адичнозначных случайных величин E. I. Zelenov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS April 24, 2014 11:00
24.	$p$-адические квантовые каналы (продолжение) E. I. Zelenov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS November 7, 2013 11:00
25.	$p$-адические квантовые каналы E. I. Zelenov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS October 10, 2013 11:00
26.	$p$-Adic model of quantum mechanics and quantum channels E. I. Zelenov International conference "QP 34 – Quantum Probability and Related Topics" September 19, 2013 14:30
27.	Дробный квантовый эффект Холла E. I. Zelenov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS November 8, 2012 11:00
28.	$p$-Adic Connes' quantization E. I. Zelenov Complex analysis and mathematical physics April 23, 2012 16:00
29.	$p$-Adic quantum mechanics and noncommutative geometry E. I. Zelenov Steklov Mathematical Institute Seminar February 16, 2012 16:00
30.	Adelic decoherence E. I. Zelenov International Conference "Irreversibility Problem in Classical and Quantum Dynamical Systems" December 8, 2011 12:30
31.	$р$-Адические функциональные пространства (продолжение) E. I. Zelenov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS September 22, 2011 11:00
32.	$р$-Адические функциональные пространства E. I. Zelenov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS September 8, 2011 11:00
33.	О квантовании Конна $p$-адических систем E. I. Zelenov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS April 8, 2010 11:00
34.	О самосопряжённых операторах в $p$-адической квантовой механике E. I. Zelenov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS October 8, 2009 11:00
35.	$C^$-Алгебры коммутационных соотношений E. I. Zelenov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS* December 25, 2008 11:00
36.	Задача Дирихле для уравнения Лапласа на дереве E. I. Zelenov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS December 27, 2007 11:00
37.	Commutation relations ans coherent states E. I. Zelenov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS September 13, 2007 11:00
38.	Геометрическое квантование $р$-адической струны E. I. Zelenov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS April 13, 2006

Organisations

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow