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Zagrebnov, Valentin Anatol'evich
Statistics Math-Net.Ru
Total publications: 30
Scientific articles: 27
Presentations: 11

Number of views:
This page:1603
Abstract pages:9807
Full texts:2898
References:1316
Professor
Doctor of physico-mathematical sciences
E-mail: ,

https://www.mathnet.ru/eng/person22276
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/211190

Publications in Math-Net.Ru Citations
2024
1. V. A. Zagrebnov, B. Iochum, “A characterization of Gibbs semigroups”, TMF, 218:1 (2024),  88–101  mathnet  mathscinet; Theoret. and Math. Phys., 218:1 (2024), 75–86  scopus
2023
2. V. A. Zagrebnov, “Operator-norm Trotter product formula on Banach spaces”, Izv. RAN. Ser. Mat., 87:5 (2023),  99–123  mathnet  mathscinet; Izv. Math., 87:5 (2023), 947–971  isi  scopus 1
2022
3. Valentin A. Zagrebnov, “Comments on the Chernoff estimate”, Nanosystems: Physics, Chemistry, Mathematics, 13:1 (2022),  17–23  mathnet  mathscinet  elib
2020
4. A. F. M. ter Elst, V. A. Zagrebnov, “Construction of dynamical semigroups by a functional regularization à la Kato”, TMF, 204:1 (2020),  46–69  mathnet; Theoret. and Math. Phys., 204:1 (2020), 875–895  isi  scopus 1
2018
5. W. F. Wreszinski, V. A. Zagrebnov, “Bogoliubov quasiaverages: Spontaneous symmetry breaking and the algebra of fluctuations”, TMF, 194:2 (2018),  187–223  mathnet  mathscinet  elib; Theoret. and Math. Phys., 194:2 (2018), 157–188  isi  scopus 6
2017
6. H. Neidhardt, A. Stephan, V. A. Zagrebnov, “On convergence rate estimates for approximations of solution operators for linear non-autonomous evolution equations”, Nanosystems: Physics, Chemistry, Mathematics, 8:2 (2017),  202–215  mathnet  isi 5
2016
7. V. A. Zagrebnov, H. Tamura, “A model of nonautonomous dynamics driven by repeated harmonic interaction”, TMF, 187:3 (2016),  531–559  mathnet  mathscinet  elib; Theoret. and Math. Phys., 187:3 (2016), 909–934  isi  scopus 2
2015
8. H. Neidhardt, L. Wilhelm, V. A. Zagrebnov, “A new model for quantum dot light emitting-absorbing devices: proofs and supplements”, Nanosystems: Physics, Chemistry, Mathematics, 6:1 (2015),  6–45  mathnet  isi  elib 1
2014
9. H. Neidhardt, L. Wilhelm, V. A. Zagrebnov, “A New Model of Quantum Dot Light Emitting-Absorbing Devices”, Zh. Mat. Fiz. Anal. Geom., 10:3 (2014),  350–385  mathnet  mathscinet  isi 5
2013
10. Ibrahim Baydoun, Valentin A. Zagrebnov, “Diffusion and Laplacian transport for absorbing domains”, Nanosystems: Physics, Chemistry, Mathematics, 4:4 (2013),  446–466  mathnet  elib
2011
11. I. Baydoun, V. A. Zagrebnov, “Diffusion and Laplacian transport”, TMF, 168:3 (2011),  376–388  mathnet  mathscinet; Theoret. and Math. Phys., 168:3 (2011), 1180–1191  isi  scopus 3
2008
12. V. A. Zagrebnov, “From Laplacian transport to Dirichlet-to-Neumann (Gibbs) semigroups”, Zh. Mat. Fiz. Anal. Geom., 4:4 (2008),  551–568  mathnet  mathscinet  zmath  isi 2
2001
13. P. M. Bleher, J. Ruiz, R. H. Schonmann, S. B. Shlosman, V. A. Zagrebnov, “Rigidity of the critical phases on a Cayley tree”, Mosc. Math. J., 1:3 (2001),  345–363  mathnet  mathscinet  zmath  isi  elib 30
1986
14. V. A. Zagrebnov, V. V. Papoyan, “The ensemble equivalence problem for Bose systems (nonideal Bose gas)”, TMF, 69:3 (1986),  420–438  mathnet  mathscinet; Theoret. and Math. Phys., 69:3 (1986), 1240–1253  isi 13
15. I. G. Brankov, V. A. Zagrebnov, N. S. Tonchev, “Description of limit gibbs states for Curie–Weiss–Ising model”, TMF, 66:1 (1986),  109–120  mathnet  mathscinet; Theoret. and Math. Phys., 66:1 (1986), 72–80  isi 10
1984
16. N. N. Bogolyubov (Jr.), I. G. Brankov, V. A. Zagrebnov, A. M. Kurbatov, N. S. Tonchev, “Some classes of exactly soluble models of problems in quantum statistical mechanics: the method of the approximating Hamiltonian”, Uspekhi Mat. Nauk, 39:6(240) (1984),  3–45  mathnet  mathscinet; Russian Math. Surveys, 39:6 (1984), 1–50  isi 17
1982
17. V. A. Zagrebnov, “A new proof and generalization of the Bogolyubov–Ruelle theorem”, TMF, 51:3 (1982),  389–402  mathnet  mathscinet; Theoret. and Math. Phys., 51:3 (1982), 570–579  isi 8
1980
18. V. A. Zagrebnov, “Singular potentials of interaction in quantum statistical mechanics”, Tr. Mosk. Mat. Obs., 41 (1980),  101–120  mathnet  mathscinet
19. V. A. Zagrebnov, V. B. Priezzhev, “Phase transitions in spin systems with frustration”, TMF, 44:2 (1980),  217–223  mathnet  mathscinet; Theoret. and Math. Phys., 44:2 (1980), 703–707  isi 1
1978
20. V. A. Zagrebnov, L. A. Pastur, “Singular interaction potentials in classical statistical mechanics”, TMF, 36:3 (1978),  352–372  mathnet  mathscinet; Theoret. and Math. Phys., 36:3 (1978), 784–797 7
1977
21. I. V. Volovich, V. A. Zagrebnov, V. P. Frolov, “On the definition of the vacuum in the Gravitational field; the $\Re$ vacuum”, TMF, 33:1 (1977),  3–16  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 33:1 (1977), 843–852 5
1976
22. I. V. Volovich, V. A. Zagrebnov, V. P. Frolov, “Quantum particle creation (Hawking effect) in nonstationary black holes”, TMF, 29:2 (1976),  191–204  mathnet  mathscinet; Theoret. and Math. Phys., 29:2 (1976), 1012–1021 10
1975
23. V. A. Zagrebnov, I. G. Brankov, N. S. Tonchev, “A rigorous result on systems that interact with a boson field”, Dokl. Akad. Nauk SSSR, 225:1 (1975),  71–73  mathnet  mathscinet 3
24. I. G. Brankov, V. A. Zagrebnov, N. S. Tonchev, “Asymptotically exact solution of the generalized Dicke model”, TMF, 22:1 (1975),  20–30  mathnet  mathscinet; Theoret. and Math. Phys., 22:1 (1975), 13–20 35
1973
25. I. V. Volovich, E. A. Dynin, V. A. Zagrebnov, V. P. Frolov, “On the application of field-theory methods in the Ising model II. Calculation of the critical index $\eta$”, TMF, 15:3 (1973),  417–426  mathnet; Theoret. and Math. Phys., 15:3 (1973), 621–627
26. I. V. Volovich, E. A. Dynin, V. A. Zagrebnov, V. P. Frolov, “Application of field theory methods in the Ising model. I”, TMF, 14:2 (1973),  272–276  mathnet; Theoret. and Math. Phys., 14:2 (1973), 203–206 2
1972
27. V. A. Zagrebnov, V. K. Fedyanin, “Spin-phonon interaction in the ising model”, TMF, 10:1 (1972),  127–142  mathnet; Theoret. and Math. Phys., 10:1 (1972), 84–93 12
2018
28. E. A. Zhizhina, V. A. Zagrebnov, Yu. M. Kondrat'ev, V. A. Malyshev, B. S. Nakhapetian, E. A. Pechersky, S. A. Pirogov, S. K. Pogosyan, Ya. G. Sinai, “Robert Adol'fovich Minlos (28 February 1931 – 9 January 2018)”, TMF, 195:1 (2018),  3–5  mathnet  mathscinet  elib; Theoret. and Math. Phys., 195:1 (2018), 491–493  isi
29. V. L. Aksenov, I. G. Brankov, V. A. Zagrebnov, E. A. Ivanov, D. I. Kazakov, S. K. Nechaev, N. M. Plakida, A. M. Povolotskii, V. P. Spiridonov, P. Eksner, “Viacheslav Borisovich Priezzhev (06.09.1944 – 31.12.2017)”, TMF, 194:3 (2018),  383–384  mathnet  mathscinet  elib; Theoret. and Math. Phys., 194:3 (2018), 329–330  isi
1975
30. I. V. Volovich, V. A. Zagrebnov, “Конструктивная квантовая теория поля”, UFN, 117:4 (1975),  719–721  mathnet

Presentations in Math-Net.Ru
1. Формулы произведения Троттера-Като
V. A. Zagrebnov
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
April 25, 2024 11:00   
2. Формулы произведения Троттера-Като
V. A. Zagrebnov
Seminar by V. V. Kozlov, S. V. Kozyrev, A. S. Trushechkin and I. V. Volovich "Quantum mathematical physics"
April 24, 2024 18:00
3. A note about asymptotics of Gibbs semigroups at the origin
V. A. Zagrebnov
International Conference Dedicated to the 100th Anniversary of the Birthday of V. S. Vladimirov (Vladimirov-100)
January 13, 2023 13:00   
4. Bose-Einstein Condensation as a Mathematical Challenge
V. A. Zagrebnov
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
November 24, 2022 11:00   
5. Why do bosons condense?
V. A. Zagrebnov
International Conference "New Trends in Mathematical Physics"
November 12, 2022 10:00   
6. Comments on the Chernoff estimate
V. A. Zagrebnov
One-Parameter Semigroups of Operators (OPSO) 2022
February 18, 2022 16:35   
7. Product formulae for non-autonomous Gibbs semigroups
V. A. Zagrebnov
International Conference "Selected Topics in Mathematical Physics" Dedicated to 75-th Anniversary of I. V. Volovich
September 27, 2021 10:45   
8. Trotter-Kato product formulae for Gibbs semigroups
V. A. Zagrebnov
International Bogolyubov Conference Problems of Theoretical and Mathematical Physics dedicated to the 110th anniversary of N. N. Bogolyubov's birth
September 9, 2019 11:40   
9. Конструкция динамических полугрупп с помощью функциональной регуляризации a la Kato
V. A. Zagrebnov
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
December 29, 2016 11:00   
10. Non-equilibrium states for a time dependent Hamiltonian
V. A. Zagrebnov
Dobrushin Mathematics Laboratory Seminar
October 11, 2011 14:00
11. Квази-секториальные сжатия и аппроксимация полугрупп формулой Троттера
V. A. Zagrebnov
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
May 27, 2010 11:00

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