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Zelenov, Evgenii Igorevich

Total publications: 33 (33)
in MathSciNet: 24 (24)
in zbMATH: 20 (20)
in Web of Science: 18 (18)
in Scopus: 20 (20)
Cited articles: 24
Citations: 221
Presentations: 37

Number of views:
This page:5035
Abstract pages:7858
Full texts:2838
References:947
Zelenov, Evgenii Igorevich
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:
  1. V. S. Vladimirov, I. V. Volovich, E. I. Zelenov, p-Adic analysis and mathematical physics, World Scientific, Singapore-New Jersey-London-Yjng Kong, 1994
  2. 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
List of publications on ZentralBlatt
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

Full 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  mathnet  crossref  mathscinet  isi  elib  scopus 87
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  mathnet  crossref  mathscinet  zmath  adsnasa
3. E. I. Zelenov, “p-Adic path integrals”, Journal of mathematical physics, 32:1 (1991), 147–152  crossref  mathscinet  zmath  adsnasa  scopus 16
4. E. I. Zelenov, “$p$-Adic quantum mechanics for $p=2$”, Theoret. and Math. Phys., 80:2 (1989), 848–856  mathnet  crossref  mathscinet  zmath  adsnasa  isi
5. E. I. Zelenov, “$p$-Adic quantum mechanics and coherent states”, Theoret. and Math. Phys., 86:2 (1991), 143–151  mathnet  crossref  mathscinet  zmath  adsnasa  isi
6. E. I. Zelenov, “p-Adic Heisenberg group and Maslov index”, Communications in Mathematical physics, 155:3 (1993), 489–502  crossref  mathscinet  zmath  adsnasa  isi  scopus 8
7. E. I. Zelenov, “The infinite-demensional $p$-adic symplectic group”, Russian Acad. Sci. Izv. Math., 43:3 (1994), 421–441  mathnet  crossref  mathscinet  zmath  adsnasa  isi
8. E. I. Zelenov, “$p$-adic model of quantum mechanics and quantum channels”, Proc. Steklov Inst. Math., 285 (2014), 132–144  mathnet  crossref  crossref  isi  elib  elib  scopus
9. 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  crossref  mathscinet  zmath  adsnasa  scopus 6
10. E. I. Zelenov, “$p$-adic quantum mechanics and coherent states 2. Oscillator eigenfunctions”, Theoret. and Math. Phys., 86:3 (1991), 258–265  mathnet  crossref  mathscinet  zmath  adsnasa  isi
11. E. I. Zelenov, “Entropy Gain in $p$-Adic Quantum Channels”, Phys. Part. Nucl., 51:4 (2020), 485–488  mathnet  crossref  isi  elib  scopus
12. E. I. Zelenov, “Quantum approximation theorem”, p-Adic Numbers, Ultrametric Anal. Appl., 1:1 (2009), 88–90  crossref  mathscinet  zmath  elib  scopus 5
13. S. V. Fischenko, E. I. Zelenov, “p‐Adic Models of Turbulence”, AIP Conference Proceedings, 826, AIP, 2006, 174–191  crossref  mathscinet  zmath  adsnasa  scopus 4
14. E. I. Zelenov, “The $p$-adic law of large numbers”, Izv. Math., 80:3 (2016), 489–499  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
15. E. I. Zelenov, “Coordinate and momentum operators in $p$-adic quantum mechanics”, Theoret. and Math. Phys., 164:3 (2010), 1190–1197  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus
16. 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  mathnet  mathscinet  zmath
17. Evgeny Zelenov, “On geometry of $p$-adic coherent states and mutually unbiased bases”, Entropy, 25:6 (2023), 902 , 8 pp.  mathnet  crossref  mathscinet; 2
18. E. I. Zelenov, “$p$-adic Brownian motion”, Izv. Math., 80:6 (2016), 1084–1093  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  elib  scopus
19. E. I. Zelenov, “On geometrical interpretation of the p-adic Maslov index”, Communications in Mathematical physics, 159:3 (1994), 539-547  crossref  mathscinet  zmath  adsnasa  scopus 2
20. 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  mathnet  crossref  mathscinet  isi; 1
21. E. I. Zelenov, “$p$-Adic Gaussian Random Variables”, Proc. Steklov Inst. Math., 306 (2019), 120–126  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
22. E. I. Zelenov, “Models of $p$-adic mechanics”, Theoret. and Math. Phys., 174:2 (2013), 247–252  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
23. E. I. Zelenov, “Adelic decoherence”, p-Adic Numbers, Ultrametric Anal. Appl., 4:1 (2012), 84–87  crossref  mathscinet  zmath  elib  scopus 1
24. E. I. Zelenov, “$p$-Adic BMO and VMO functions”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 1(22) (2011), 90–92  mathnet  crossref  rsci
25. Evgeny I. Zelenov, “On the Minimum of the Wehrl Entropy for a Locally Compact Abelian Group”, Proc. Steklov Inst. Math., 324 (2024), 86–90  mathnet  crossref  crossref  mathscinet  scopus
26. E. I. Zelenov, “On geometry of $p$-adic polynomials”, Int. J. Mod. Phys. A, 37:20-21 (2022), 2243026 , 5 pp.  mathnet  crossref  mathscinet;
27. E. I. Zelenov, “A Note on Decoherence and Fractal Hamiltonians”, Lobachevskii J. Math., 41:4 (2020), 742–745 , arXiv: 2009.14633  mathnet  crossref  mathscinet  isi  scopus;
28. E. I. Zelenov, “Qualitative theory of $p$-adic dynamical systems”, Theoret. and Math. Phys., 178:2 (2014), 194–201  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
29. E. I. Zelenov, “The $p$-adic quantum differential”, Theoret. and Math. Phys., 168:2 (2011), 1035–1040  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus
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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
32. E. I. Zelenov, “p-Adic mathematical physics and space-time”, Gravitation and cosmology, 1:3 (1995), 243-246  zmath  adsnasa
33. V. S. Vladimirov, I. V. Volovich, E. I. Zelenov, p-Adicheskii analiz i matematicheskaya fizika, Fizmatlit, Moskva, 1994 , 352 pp.  zmath

Presentations in Math-Net.Ru
1. 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   
2. Взаимно несмещенные базисы, матрицы Адамара и кривые Мамфорда-Шоттки
E. I. Zelenov
Seminar on Quantum Probability, Statistics, Information
February 26, 2024 16:20   
3. p-Адическая модель квантовой механики и взаимно несмещенные базисы
E. I. Zelenov

November 9, 2023 18:30
4. 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   
5. 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
6. 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   
7. 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   
8. 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   
9. $p$-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   
10. 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   
11. Декогеренция и фрактальные Гамильтонианы
E. I. Zelenov
Conference on Mathematical Methods for Quantum Technologies
November 5, 2020 12:45   
12. 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
13. $p$-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   
14. 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   
15. 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
16. 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   
17. 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
18. $p$-Адические нормальные распределения
E. I. Zelenov
V.P. Mikhailov seminar
March 16, 2017 13:30
19. $p$–Адические гауссовские случайные величины
E. I. Zelenov
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
March 2, 2017 11:00
20. Statistical properties of p-adic systems
Evgeny Zelenov
New Trends in Mathematical and Theoretical Physics
October 7, 2016 10:00
21. $p$-adic Quantum Mechanics and Quantum Channels
E. I. Zelenov
Mathematical problems of quantum theory of nanosystems and photosynthesis
September 17, 2015 17:00
22. 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
23. $p$-адические квантовые каналы (продолжение)
E. I. Zelenov
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
November 7, 2013 11:00
24. $p$-адические квантовые каналы
E. I. Zelenov
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
October 10, 2013 11:00
25. $p$-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   
26. Дробный квантовый эффект Холла
E. I. Zelenov
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
November 8, 2012 11:00
27. $p$-Adic Connes' quantization
E. I. Zelenov
Complex analysis and mathematical physics
April 23, 2012 16:00
28. $p$-Adic quantum mechanics and noncommutative geometry
E. I. Zelenov
Steklov Mathematical Institute Seminar
February 16, 2012 16:00   
29. Adelic decoherence
E. I. Zelenov
International Conference "Irreversibility Problem in Classical and Quantum Dynamical Systems"
December 8, 2011 12:30   
30. $р$-Адические функциональные пространства (продолжение)
E. I. Zelenov
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
September 22, 2011 11:00
31. $р$-Адические функциональные пространства
E. I. Zelenov
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
September 8, 2011 11:00
32. 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
33. 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
34. $C^*$-Алгебры коммутационных соотношений
E. I. Zelenov
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
December 25, 2008 11:00
35. 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
36. 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
37. Геометрическое квантование $р$-адической струны
E. I. Zelenov
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
April 13, 2006

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