Persons: Amosov, Grigori Gennadievich

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Amosov, Grigori Gennadievich

Total publications:	67 (66)
in MathSciNet:	45 (45)
in zbMATH:	31 (31)
in Web of Science:	47 (46)
in Scopus:	53 (53)
Cited articles:	51
Citations in Math-Net.Ru:	158
Citations in MathSciNet:	110
Citations in Web of Science:	159
Citations in Scopus:	179
Presentations:	43

Number of views:
This page:	6889
Abstract pages:	8589
Full texts:	2079
References:	841

Head Scientist Researcher

Doctor of physico-mathematical sciences

E-mail:

Keywords:

functional analysis, operator algebras, quantum probability, quantum information transmission, musical acoustics.

http://www.mathnet.ru/eng/person17863

http://scholar.google.com/citations?user=DWYhlMUAAAAJ&hl=en

http://zbmath.org/authors/?q=ai:amosov.grigori-g

https://mathscinet.ams.org/mathscinet/MRAuthorID/636822

http://elibrary.ru/author_items.asp?authorid=107728

http://www.researcherid.com/rid/C-3300-2014

http://www.scopus.com/authid/detail.url?authorId=6701737472

https://www.researchgate.net/profile/G_Amosov

Full list of publications:

by years

by types

by times cited in WoS

by times cited in Scopus

scientific publications

common list



2019
1.	G.G. Amosov, E.O. Kholmogorov, “On singular perturbations of the semigroup of shifts on the algebra of canonical anticommutation relations”, Russian Mathematics, 63:11 (2019), 67–70
2.	G. G. Amosov, A. S. Mokeev, “On linear structure of non-commutative operator graphs”, Lobachevskii J. Math., 40:10 (2019), 1440–1443
3.	G. G. Amosov, Ya. A. Korennoy, “On definition of quantum tomography via the Sobolev embedding theorem”, Lobachevskii J. Math., 40:10 (2019), 1433–1439
4.	Grigori Amosov, “On operator systems generated by reducible projective unitary representations of compact groups”, Turk. J. Math., 43:5 (2019), 2366–2370

2018
5.	G. G. Amosov, “On general properties of non-commutative operator graphs”, Lobachevskii J. Math., 39:3 (2018), 304–308 (cited: 3) (cited: 4)
6.	G. G. Amosov, S. Mancini, V. I. Man'ko, “Tomographic portrait of quantum channels”, Rep. Math. Phys., 81:2 (2018), 165–176 (cited: 2) (cited: 3)
7.	G. G. Amosov, “On Various Functional Representations of the Space of Schwarz Operators”, Quantum probability, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 151, VINITI, Moscow, 2018, 3–9
8.	G. G. Amosov, A. S. Mokeev, “On non-commutative operator graphs generated by covariant resolutions of identity”, Quantum Inf. Process., 17 (2018), 325 , 11 pp. (cited: 2) (cited: 4)
9.	G.G. Amosov, “O tomograficheskom predstavlenii na ploskosti prostranstva operatorov Shvartsa i dualnogo k nemu”, Kvantovaya dinamika i funktsionalnye integraly: materialy nauchnoi konferentsii, IPM im. M.V. Keldysha RAN, 2018, 63–70 http://keldysh.ru/quant/2018/
10.	G. G. Amosov, M. Kpekpassi, N.N. Shamarov, E.Yu. Shamarova, “Antisimmetrichnoe prostranstvo Foka i algebry Grassmana s unitarnym (super-)preobrazovaniem Fure”, Kvantovaya dinamika i funktsionalnye integraly: materialy nauchnoi konferentsii, IPM im. M.V. Keldysha RAN, 2018, 131–138 http://keldysh.ru/quant/2018/
11.	G. G. Amosov, Al. V. Bulinski, An. V. Bulinski, V. M. Buchstaber, I. A. Ibragimov, V. P. Maslov, A. Ya. Helemskii, A. M. Chebotarev, M. E. Shirokov, A. N. Shiryaev, “Alexander Semenovich Holevo (on his 75th birthday)”, Russian Math. Surveys, 73:6 (2018), 1131–1136

2017
12.	Grigori G. Amosov, Sergey N. Filippov, “Spectral properties of reduced fermionic density operators and parity superselection rule”, Quantum Inf. Process., 16:1 (2017), 2 , 16 pp. (cited: 5) (cited: 9)
13.	G. G. Amosov, “On tomographic representation on the plane of the space of Schwartz operators and its dual”, Lobachevskii J. Math., 38:4 (2017), 595–599 (cited: 1) (cited: 1)

2018
14.	G.G. Amosov, A.S. Mokeev, “On construction of anticliques for noncommutative operator graphs”, J. Math. Sci., 234:3 (2018), 269–275 (cited: 3)

2019
15.	G. G. Amosov, “Algebraic methods of the study of quantum information transfer channels”, Journal of Mathematical Sciences, 241:2 (2019), 109–116

2016
16.	G. G. Amosov, I. Yu. Zhdanovskii, “Structure of the Algebra Generated by a Noncommutative Operator Graph which Demonstrates the Superactivation Phenomenon for Zero-Error Capacity”, Math. Notes, 99:6 (2016), 924–927

2015
17.	G. G. Amosov, “Estimating the output entropy of a tensor product of two quantum channels”, Theoret. and Math. Phys., 182:3 (2015), 397–406 (cited: 3) (cited: 3)
18.	G. G. Amosov, A. I. Dnestryan, “Towards a tomographic representation of quantum mechanics on the plane”, Phys. Scr., 90:7 (2015), 074025 , arXiv: 1503.04640 (cited: 2) (cited: 2)

2016
19.	G. G. Amosov, V. Zh. Sakbaev, “Geometrical properties of systems of vector states and representing of states in the form of Pettis integrals”, St. Petersburg Math. J., 27:4 (2016), 589–597 (cited: 2) (cited: 1)
20.	J. Math. Sci. (N. Y.), 215:6 (2016), 659–676 (cited: 1)

2015
21.	G. G. Amosov, A. S. Nadzharov, “Ob'ektno-orientirovannyi yazyk programmirovaniya OpenMusic i ego ispolzovanie dlya analiza kontseptsii sozdaniya muzykalnykh proizvedenii”, Neirokompyutery: razrabotka, primenenie, 2015, no. 9, 67–76

2014
22.	G. G. Amosov, A. I. Dnestryan, “On the entropy gain under the action of the amplitude damping channel on qutrit”, J. Russian Laser Research, 35:3 (2014), 291–294

2013
23.	G. G. Amosov, V. Zh. Sakbaev, “On Analogs of Spectral Decomposition of a Quantum State”, Math. Notes, 93:3 (2013), 351–359 (cited: 1) (cited: 1)
24.	G. G. Amosov, A. I. Dnestryan, “Reconstruction of a pure state from incomplete information on its optical tomogram”, Russian Math. (Iz. VUZ), 57:3 (2013), 51–55 (cited: 1)
25.	G. G. Amosov, “On estimating the output entropy of the tensor product of a phase-damping channel and an arbitrary channel”, Problems Inform. Transmission, 49:3 (2013), 224–231 (cited: 3) (cited: 2) (cited: 4)
26.	G. G. Amosov, “O postroenii vozmuschenii polugruppy sdvigov na polupryamoi”, Tr. matem. tsentra imeni N.I. Lobachevskogo, 46:11 (2013), 3–5

2012
27.	G. G. Amosov, A. D. Baranov, V. V. Kapustin, “O primenenii modelnykh prostranstv dlya postroeniya vozmuschenii polugruppy sdvigov na polupryamoi”, Ufimsk. matem. zhurn., 4:1 (2012), 17–28 (cited: 1) (cited: 2)
28.	G. G. Amosov, Ya. A. Korennoy, V. I. Man'ko, “Description and measurement of observables in the optical tomographic probability representation of quantum mechanics”, Phys. Rev. A, 85 (2012), 052119 , 9 pp. (cited: 21) (cited: 22)
29.	G. G. Amosov, Ya. A. Korennoi, V. I. Man'ko, “Calculating means of quantum observables in the optical tomography representation”, Theoret. and Math. Phys., 171:3 (2012), 832–838 (cited: 3) (cited: 1) (cited: 1) (cited: 3)
30.	G. G. Amosov, V. Zh. Sakbaev, O. G. Smolyanov, “Linear and nonlinear liftings of states of quantum systems”, Russ. J. Math. Phys., 19:4 (2012), 417–427 (cited: 1) (cited: 1)

2011
31.	G. G. Amosov, A. I. Dnestryan, “O spektre semeistva integralnykh operatorov, opredelyayuschikh simplekticheskuyu kvantovuyu tomogrammu”, Trudy MFTI, 3:1 (2011), 5–9 http://mipt.ru/science/trudy/trudy-9/Pages_from_5-9-arphcxl1tgs.pdf (cited: 1)
32.	G. G. Amosov, A. D. Baranov, V. V. Kapustin, “Perturbations of the isometric semigroup of shifts on the half-axis”, St. Petersburg Math. J., 22:4 (2011), 515–528

2010
33.	G. G. Amosov, D. Goranskaya, I. Traskunov, “Quantum tomography and Kohn density functional theory”, J. Russian Laser Research, 31:3 (2010), 232–238

2009
34.	G. G. Amosov, S. Mancini, “The decreasing property of relative entropy and the strong superadditivity of quantum channels”, Quantum Inf. Comput., 9:7-8 (2009), 594–609 (cited: 8) (cited: 5)
35.	G. G. Amosov, S. Mancini, “Entanglement from operators splitting”, Foundations of probability and physics—5, AIP Conf. Proc., 1101, Amer. Inst. Phys., New York, 2009, 100–103 (cited: 1) (cited: 2)
36.	G. G. Amosov, V. I. Manko, “A classical limit of a center-of-mass tomogram in view of the central limit theorem”, Phys. Scr., 80:2 (2009), 025006 , 4 pp. (cited: 4) (cited: 4)
37.	G. G. Amosov, V. I. Man'ko, Yu. N. Orlov, “Evolution equation of quantum tomograms for a driven oscillator in the case of the general linear quantization”, Phys. Scr., 79:1 (2009), 015004 , 6 pp. (cited: 1) (cited: 1)
38.	G. G. Amosov, V. I. Man'ko, “Characteristic functions of states in star-product quantization”, J. Russian Laser Research, 30:5 (2009), 435–442 (cited: 2) (cited: 2)

2008
39.	G. G. Amosov, S. Mancini, V. I. Man'ko, “On the information completeness of quantum tomograms”, Phys. Lett. A, 372:16 (2008), 2820–2824 (cited: 3) (cited: 3) (cited: 3)
40.	G. G. Amosov, V. Zh. Sakbaev, “Stokhasticheskie svoistva dinamiki kvantovykh sistem”, Vestnik SamGU – Estestvennonauchnaya seriya, 8:1 (2008), 479–494

2007
41.	G. G. Amosov, “On Weyl channels being covariant with respect to the maximum commutative group of unitaries”, J. Math. Phys., 48:1 (2007), 012104 , 14 pp. (cited: 11) (cited: 11)
42.	G. G. Amosov, “Strong superadditivity conjecture holds for the quantum depolarizing channel in any dimension”, Phys. Rev. A, 75:6 (2007), 060304(R) , 2 pp. (cited: 9) (cited: 5) (cited: 10)

2006
43.	G. G. Amosov, A. D. Baranov, “On dilatation of contracting cocycles and perturbations of the group of shifts on the line by cocycles, II”, Math. Notes, 79:5 (2006), 719–720 (cited: 2)
44.	G. G. Amosov, A. D. Baranov, “Dilations of Contraction Cocycles and Cocycle Perturbations of the Translation Group of the Line”, Math. Notes, 79:1 (2006), 3–17 (cited: 3) (cited: 2) (cited: 2) (cited: 2)
45.	G. G. Amosov, “Remark on the Additivity Conjecture for a Quantum Depolarizing Channel”, Problems Inform. Transmission, 42:2 (2006), 69–76 (cited: 7) (cited: 7) (cited: 8)
46.	G. G. Amosov, “Evolution Equations for Markov Cocycles Obtained by Second Quantization in the Symplectic Fock Space”, Theoret. and Math. Phys., 146:1 (2006), 152–157
47.	G. G. Amosov, S. Mancini, V. I. Manko, “Transmitting qudits through larger quantum channels”, J. Phys. A, 39:13 (2006), 3375–3380 (cited: 5) (cited: 4) (cited: 5)

2005
48.	G. G. Amosov, V. I. Man'ko, “Evolution of probability measures associated with quantum systems”, Theoret. and Math. Phys., 142:2 (2005), 306–310 (cited: 1) (cited: 1) (cited: 1) (cited: 1)

2006
49.	G. G. Amosov, “On Markov perturbations of quantum random problems with stationary increments”, Theory Probab. Appl., 50:4 (2006), 650–658

2005
50.	G. G. Amosov, V. I. Manko, “Tomographic quantum measures for many degrees of freedom and the central limit theorem”, J. Phys. A, 38:10 (2005), 2173–2177 (cited: 5) (cited: 4) (cited: 5)

2004
51.	G. G. Amosov, V. Zh. Sakbaev, “On Self-Adjoint Extensions of Schrödinger Operators Degenerating on a Pair of Half-Lines and the Corresponding Markovian Cocycles”, Math. Notes, 76:3 (2004), 315–322 (cited: 2) (cited: 2)

2005
52.	G. G. Amosov, “On Markovian perturbations of the group of unitary operators associated with a stochastic process with stationary increments”, Theory Probab. Appl., 49:1 (2005), 123–132 (cited: 1) (cited: 2) (cited: 1)

2004
53.	G. G. Amosov, A. D. Baranov, “On perturbations of the group of shifts on the line by unitary cocycles”, Proc. Amer. Math. Soc., 132:11 (2004), 3269–3273 (electronic) (cited: 3) (cited: 4) (cited: 3)
54.	L. Accardi, G. Amosov, U. Franz, “Second quantized automorphisms of the renormalized square of white noise (RSWN) algebra”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 7:2 (2004), 183–194 (cited: 15) (cited: 15)
55.	G. G. Amosov, P. Schuecker, “Non-Markov excursion set model of dark matter halo abundances”, Astronomy and Astrophysics, 421:2 (2004), 425–432 (cited: 6) (cited: 6) (cited: 6)

2003
56.	G. G. Amosov, “On Markovian cocycle perturbations in classical and quantum probability”, Int. J. Math. Math. Sci., 2003, no. 54, 3443–3467 (cited: 3) (cited: 2)
57.	G. G. Amosov, V. I. Man'ko, “Quantum probability measure for parametric oscillators”, Phys. Lett. A, 318:4-5 (2003), 287–291 (cited: 11) (cited: 8) (cited: 9)
58.	G. G. Amosov, “Stationary quantum stochastic processes from the cohomological point of view”, Quantum probability and infinite dimensional analysis (Burg, 2001), QP–PQ: Quantum Probab. White Noise Anal., 15, World Sci. Publ., River Edge, NJ, 2003, 29–40
59.	G. G. Amosov, G. G. Amosov (jr.), O. S. Rozanova, “Towards a mathematical model of the aortic reservoir”, Biosystems, 71:1-2 (2003), 3–10 (cited: 2)
60.	G. G. Amosov, A. S. Holevo, “On the multiplicativity hypothesis for quantum communication channels”, Theory Probab. Appl., 47:1 (2003), 123–127 (cited: 10) (cited: 6) (cited: 9)

2001
61.	G. G. Amosov, “An approximation modulo $s_2$ of isometrical operators and cocycle conjugacy of endomorphisms of the CAR algebra”, Fundam. Prikl. Mat., 7:3 (2001), 925–930
62.	G. G. Amosov, A. V. Bulinski, M. E. Shirokov, “Regular Semigroups of Endomorphisms of von Neumann Factors”, Math. Notes, 70:5 (2001), 583–598 (cited: 3) (cited: 1) (cited: 3)
63.	G. G. Amosov, “On cocycle conjugacy of quasifree endomorphism semigroups on the CAR algebra”, Proceedings of the Seminar on Stability Problems for Stochastic Models, Part I (Naleczow, 1999), J. Math. Sci. (New York), 105, no. 6, 2001, 2496–2503 (cited: 4) (cited: 4)

2000
64.	G. G. Amosov, “On the approximation of semigroups of isometries in a Hilbert space”, Russian Math. (Iz. VUZ), 44:2 (2000), 5–10
65.	G. G. Amosov, A. S. Holevo, R. F. Werner, “On the Additivity Conjecture in Quantum Information Theory”, Problems Inform. Transmission, 36:4 (2000), 305–313
66.	G. G. Amosov, “Cocycle perturbation of quasifree algebraic $K$-flow leads to required asymptotic dynamics of associated completely positive semigroup”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 3:2 (2000), 237–246 (cited: 6) (cited: 8) (cited: 7)

1997
67.	G. G. Amosov, A. V. Bulinski, “The Powers–Arveson index for quasifree dynamical semigroups”, Math. Notes, 62:6 (1997), 781–784 (cited: 1)

Presentations in Math-Net.Ru

1.	Musical calculus G. G. Amosov Mathematical Colloquium of the Bauman Moscow State Technical University December 26, 2019 17:30
2.	On a generator of the semigroup of shifts on the algebra of canonical anticommutation relations G. G. Amosov Algebras in Analysis November 15, 2019 18:05
3.	Лекция 10. Передача информации с нулевой ошибкой. Операторные графы G. G. Amosov November 14, 2019 18:00
4.	Лекция 9. Дробное преобразование Фурье G. G. Amosov November 7, 2019 18:00
5.	Лекция 8. Вполне положительные отображения. Квантовые каналы. Кодирующий, измеряющий и дефазирующий каналы. G. G. Amosov October 31, 2019 18:00
6.	Лекция 7. Положительные операторозначные меры. Теорема Наймарка. Теорема Холево о производной Радона-Никодима G. G. Amosov October 24, 2019 18:00
7.	Лекция 6. Принцип неопределённости Шредингера-Робертсона. Неравенство Белла. Граница Цирельсона G. G. Amosov October 17, 2019 18:00
8.	Лекция 5. Квантование Вейля. Вторичное квантование. Функция Вигнера. G. G. Amosov October 10, 2019
9.	Лекция 4. Вполне непрерывные и компактные операторы. След несамосопряженных операторов. G. G. Amosov October 3, 2019
10.	Лекция 3. Спектральная теорема. Волновые функции. G. G. Amosov September 26, 2019
11.	Лекция 2. Сравнение представлений Шрёдингера и Гейзенберга. Теорема Бохнера-Хинчина G. G. Amosov September 19, 2019
12.	Лекция 1. Аксиоматика Макки квантовой механики. Квантовые состояния и измерения. G. G. Amosov September 12, 2019
13.	On the existence of quantum anticliques for non-commutative operator graphs G. G. Amosov Algebras in Analysis February 22, 2019 18:05
14.	On non-commutative operator graphs generated by covariant resolutions of identity G. G. Amosov Algebras in Analysis October 19, 2018 18:05
15.	On the structure of operator graphs generated by covariant resolutions of identity G. G. Amosov International conference "Quantum information, statistics, probability" with a special session dedicated to A. S. Holevo's 75-th birthday September 13, 2018 12:45
16.	О $Е_0$-полугруппах в алгебрах фон Неймана A. V. Bulinski, G. G. Amosov Seminar on Quantum Probability, Statistics, Information November 20, 2017 16:30
17.	О новых классах положительных, но не вполне положительных отображений G. G. Amosov Seminar on Quantum Probability, Statistics, Information September 7, 2017 13:00
18.	On the structure of non-commutative operator graphs Grigori Amosov New Trends in Mathematical and Theoretical Physics October 6, 2016 17:00
19.	О протоколах передачи информации по квантовым каналам, учитывающих помощь окружения (по работе S. Mancini, A. Winter и др.) G. G. Amosov Seminar on Quantum Probability, Statistics, Information November 16, 2015 16:30
20.	Об алгебраических свойствах некоммутативного операторного графа, демонстрирующего явление суперактивации G. G. Amosov Seminar on Quantum Probability, Statistics, Information October 19, 2015 16:30
21.	On a characterization of Gaussian channels (following Giovannetti et al.) G. G. Amosov Seminar on Quantum Probability, Statistics, Information February 9, 2015 16:30
22.	Spectral properties of bipartite fermionic systems S. N. Filippov, G. G. Amosov Quantum physics and quantum information December 9, 2014 11:00
23.	Правило суперотбора и совпадение спектров для частичных состояний фермионных систем G. G. Amosov Seminar on Quantum Probability, Statistics, Information November 24, 2014 16:30
24.	Строение унитальных каналов (по работе М. Вольфа) G. G. Amosov Seminar on Quantum Probability, Statistics, Information September 15, 2014 16:30
25.	Квазисвободные состояния и каналы фермионных систем (продолжение) G. G. Amosov Seminar on Quantum Probability, Statistics, Information May 5, 2014 16:30
26.	Квазисвободные состояния и каналы фермионных систем G. G. Amosov Seminar on Quantum Probability, Statistics, Information April 28, 2014 16:30
27.	О результатах К. Кинга по мультипликативности супероператорных норм каналов, разрушающих сцепленность G. G. Amosov Seminar on Quantum Probability, Statistics, Information November 25, 2013 16:30
28.	On estimating from below for the output entropy of a tensor product of two quantum channels G. G. Amosov International conference "QP 34 – Quantum Probability and Related Topics" September 20, 2013 10:30
29.	Обзор по квантовым группам G. G. Amosov Seminar on Quantum Probability, Statistics, Information April 10, 2013 16:30
30.	On the definition of the norm on the tensor product of two $C^$-algebras G. G. Amosov Semigroup $C^$-algebras and their representations March 29, 2013 18:00
31.	Энтропийные соотношения неопределенностей для квантового канала (по работе А. Э. Растегина) G. G. Amosov Seminar on Quantum Probability, Statistics, Information March 6, 2013 16:30
32.	О бесконечномерных квантовых каналах, демпфирующих фазу G. G. Amosov Seminar on Quantum Probability, Statistics, Information December 10, 2012 16:00
33.	On application of the model space theory to constructing the perturbations of the semigroup of shifts on the semiaxis G. G. Amosov Seminar on Complex Analysis (Gonchar Seminar) October 15, 2012 18:00
34.	Об оценке выходной энтропии одного класса квантовых каналов G. G. Amosov Seminar on Quantum Probability, Statistics, Information September 17, 2012
35.	Expectations of quantum observables in the representation of symplectic quantum tomography G. G. Amosov Traditional winter session MIAN–POMI devoted to the topic "Probability and Functional Analysis" February 16, 2012 17:10
36.	Разложение Крауса для бозонных гауссовских каналов (по работе Саймона и др., продолжение) G. G. Amosov Seminar on Quantum Probability, Statistics, Information October 24, 2011 16:30
37.	Разложение Крауса для бозонных гауссовских каналов (по работе Саймона и др.) G. G. Amosov Seminar on Quantum Probability, Statistics, Information October 17, 2011 16:30
38.	Одномодовые бозонные каналы связи G. G. Amosov Seminar on Quantum Probability, Statistics, Information April 14, 2011 16:00
39.	Открытые бозонные системы и квантовые каналы связи G. G. Amosov Seminar on Quantum Probability, Statistics, Information April 7, 2011 16:00
40.	Динамика бозонных систем, квадратичные операторы и комплексные структуры G. G. Amosov Seminar on Quantum Probability, Statistics, Information March 31, 2011 16:00
41.	Проблема вложения Конна и гипотеза Цирельсона о квантовых корреляциях (по работе Юнге и др.) G. G. Amosov Seminar on Quantum Probability, Statistics, Information December 6, 2010 16:00
42.	О томографических символах квантовых наблюдаемых G. G. Amosov Seminar on Quantum Probability, Statistics, Information November 8, 2010 16:00
43.	О некоммутативных когомологиях полугруппы сдвигов G. G. Amosov Seminar on Quantum Probability, Statistics, Information September 13, 2010 16:00

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