Persons: Kordyukov, Yuri Arkadevich

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Kordyukov, Yuri Arkadevich

Total publications:	85 (82)
in MathSciNet:	67 (65)
in zbMATH:	38 (37)
in Web of Science:	58 (56)
in Scopus:	54 (53)
Cited articles:	57
Citations:	367
Presentations:	17

Number of views:
This page:	3527
Abstract pages:	9193
Full texts:	2811
References:	1035

Associate professor

Doctor of physico-mathematical sciences (2004)

Speciality:

01.01.02 (Differential equations, dynamical systems, and optimal control)

E-mail:

https://www.mathnet.ru/eng/person17308

List of publications on Google Scholar

List of publications on ZentralBlatt

https://mathscinet.ams.org/mathscinet/MRAuthorID/227886

https://elibrary.ru/author_items.asp?spin=8383-4665

https://orcid.org/0000-0003-2957-2873

https://publons.com/researcher/2486210

https://www.webofscience.com/wos/author/record/L-4934-2014

https://www.scopus.com/authid/detail.url?authorId=6602588569

Full list of publications:

scientific publications

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


2024
1.	Yu. Kordyukov, V. Manuilov, “On topological obstructions to the existence of non-periodic Wannier bases”, J. Math. Phys., 65 (2024), 033506 , 11 pp.
2.	Yu. Kordyukov, F. Sukochev, D. Zanin, “$C^{\ast}$-algebraic approach to the principal symbol. III”, J. Noncommut. Geom., 18 (2024), 1265–1314	4 ^[x]
3.	J. A. Álvarez López, Y. A. Kordyukov, E. Leichtnam, “Topology of the space of conormal distributions”, J. Pseudo-Differ. Oper. Appl., 15 (2024), 47 , 68 pp.
4.	Yu. A. Kordyukov, “Exponential localization for eigensections of the Bochner-Schrödinger operator”, Russian J. Math. Phys., 31:3 (2024), 461–476
5.	Y. Kordyukov, F. Sukochev, D. Zanin, Principal symbol calculus on contact manifolds, Lecture Notes in Mathematics, 2359, Springer Cham, 2024 , xiv+156 pp.

2023
6.	Yu. A. Kordyukov, “Semiclassical asymptotic expansions for functions of the Bochner-Schrödinger operator”, Russian Journal of Mathematical Physics, 30:2 (2023), 192–208	1 ^[x]
7.	Yu. A. Kordyukov, I. A. Taimanov, “Quasi-Classical Approximation of Monopole Harmonics”, Math. Notes, 114:6 (2023), 1285–1296

2022
8.	J.A. Alvarez Lopez, Yu. A. Kordyukov, E. Leichtnam, “Simple foliated flows”, Tohoku Math. J., 74:1 (2022), 53–81	1 ^[x]
9.	Y. A. Kordyukov, “Semiclassical spectral analysis of the Bochner–Schrödinger operator on symplectic manifolds of bounded geometry”, Anal.Math.Phys., 12 (2022), 22 , 37 pp.	7 ^[x]
10.	Y. A. Kordyukov, “Berezin-Toeplitz quantization asssociated with higher Landau levels of the Bochner Laplacian”, J. Spectral Theory, 12 (2022), 143–167	6 ^[x]
11.	Y. A. Kordyukov, I. A. Taimanov, “Trace formula for the magnetic Laplacian on a compact hyperbolic surface”, Regular and Chaotic Dynamics, 27:4 (2022), 460–476	3 ^[x]
12.	Yu. A. Kordyukov, “Berezin–Toeplitz Quantization on Symplectic Manifolds of Bounded Geometry”, Math. Notes, 112:4 (2022), 576–587
13.	Yu. A. Kordyukov, “Trace formula for the magnetic Laplacian at zero energy level”, Russian Math. Surveys, 77:6 (2022), 1107–1148

2021
14.	I. Androulidakis, Yu. A. Kordyukov, “Riemannian metrics and Laplacians for generalized smooth distributions”, Journal of Topology and Analysis, 13:2 (2021), 395–441
15.	Y. A. Kordyukov, “Heat kernels estimates for Hermitian line bundles on manifolds of bounded geometry”, Mathematics, 9:23 (2021), 3060 , 15 pp.	1 ^[x]
16.	I. Androulidakis, Yu. A. Kordyukov, “Laplacians on generalized smooth distributions as $C^*$-algebra multipliers”, Differential Equations on Manifolds and Mathematical Physics, Trends in Mathematics, eds. Manuilov, V., Mishchenko, A.S., Nazaikinskii, V.E., Schulze, B.-W., Zhang, W., Birkhäuser, Cham, 2021, 11–30

2020
17.	Yu. A. Kordyukov, “Semiclassical spectral analysis of Toeplitz operators on symplectic manifolds: the case of discrete wells”, Math. Z., 296 (2020), 911–943	1 ^[x]
18.	J.A. Alvarez Lopez, Yu. A. Kordyukov, E. Leichtnam, “Analysis on Riemannian foliations of bounded geometry”, Münster J. of Math., 13 (2020), 221–265
19.	Yu. A. Kordyukov, I. A. Taimanov, “Quasi-classical approximation for magnetic monopoles”, Russian Math. Surveys, 75:6 (2020), 1067–1088
20.	Yu. A. Kordyukov, “The spectral density function of the renormalized Bochner Laplacian on a symplectic manifold”, Juornal of Mathematical Sciences, 251:5 (2020), 696–712

2019
21.	Yu. A. Kordyukov, I. A. Taimanov, “Trace formula for the magnetic Laplacian”, Russian Math. Surveys, 74:2 (2019), 325–361
22.	Yu. A. Kordyukov, X. Ma, G. Marinescu, “Generalized Bergman kernels on symplectic manifolds of bounded geometry”, Comm. Partial Differential Equations, 44 (2019), 1037–1071	10 ^[x]
23.	Yu. A. Kordyukov, “On asymptotic expansions of generalized Bergman kernels on symplectic manifolds”, St. Petersburg Math. J., 30 (2019), 267–283

2021
24.	Yu. A. Kordyukov, “Laplacians on smooth distributions as $C^*$-algebra multipliers”, Journal of Mathematical Sciences, 252:2 (2021), 190–212

2017
25.	Yu. A. Kordyukov, “Laplacians on smooth distributions”, Sb. Math., 208:10 (2017), 1503–1522
26.	Yu. A. Kordyukov, “On asymptotic expansions of generalized Bergman kernels on symplectic manifolds”, Mezhdunarodnaya matematicheskaya konferentsiya po teorii funktsii, posvyaschennaya 100-letiyu chl.-korr. AN SSSR A.F. Leonteva (Ufa, 24–27 maya 2017 g.), RITs BashGU, Ufa, 2017, 190-191

2016
27.	Yu. Kordyukov, N. Raymond, San Vu Ngoc, B. Helffer, “Magnetic Wells in Dimension Three”, Analysis & PDE, 9:7 (2016), 1575–1608	14 ^[x]
28.	Yu. Kordyukov, M. Lejmi, P. Weber, “Seiberg–Witten invariants on manifolds with Riemannian foliations of codimension 4”, Journal of Geometry and Physics, 107 (2016), 114–135 , North-Holland	4 ^[x]

2015
29.	Y. A. Kordyukov, V. A. Pavlenko, “On Lefschetz formulas for flows on foliated manifolds”, Ufa Math. Journal, 7:2 (2015), 71–101
30.	Yu. A. Kordyukov, A. A. Yakovlev, “On a problem in geometry of numbers arising in spectral theory”, Russian Journal of Mathematical Physics, 22:4 (2015), 473–482 , Pleiades Publishing	1 ^[x]
31.	Yu. A. Kordyukov, A. A. Yakovlev, “The number of integer points in a family of anisotropically expanding domains”, Monatshefte für Mathematik, 178:1 (2015), 97–111 , Springer Vienna	2 ^[x]
32.	B. Helffer, Yu. A. Kordyukov, “Accurate semiclassical spectral asymptotics for a two-dimensional magnetic Schrödinger operator”, Annales Henri Poincaré, 16:7 (2015), 1651–1688 , Springer Basel	10 ^[x]
33.	Yu. A. Kordyukov, “Kvaziklassicheskii analiz spektra trekhmernogo operatora Shredingera s magnitnymi yamami”, Spektralnye zadachi, nelineinyi i kompleksnyi analiz, Sbornik tezisov mezhdunarodnoi nauchnoi konferentsii (Ufa, 01-03 oktyabrya 2015 g.), eds. Fazullin Z.Yu., Bashkirskii gosudarstvennyi universitet, Ufa, 2015, 88–90

2014
34.	Yu. A. Kordyukov, V. A. Pavlenko, “Singular integral operators on a manifold with a distinguished submanifold”, Ufa Math. Journal, 6:3 (2014), 35–68
35.	J. A. Alvarez Lopez, Yu. A. Kordyukov, E. Leichtnam, “Riemannian foliations of bounded geometry”, Mathematische Nachrichten, 287:14-15 (2014), 1589–1608	3 ^[x]
36.	B. Helffer, Yu. A. Kordyukov, “Semiclassical spectral asymptotics for a magnetic Schrödinger operator with non-vanishing magnetic field”, Geometric Methods in Physics, Springer International Publishing, 2014, 259–278	9 ^[x]

2013
37.	B. Helffer, Yu. A. Kordyukov, “Eigenvalue estimates for a three-dimensional magnetic Schrödinger operator”, Asymptotic Analysis, 82:1–2 (2013), 65–89 , IOS Press	2 ^[x]
38.	Yu. A. Kordyukov, A. A. Yakovlev, “Adiabatic Limits and Related Lattice Point Problems”, Microlocal Methods in Mathematical Physics and Global Analysis, Springer Basel, 2013, 25–28

2012
39.	Yu. A. Kordyukov, A. A. Yakovlev, “The Problem of the Number of Integer Points in Families of Anisotropically Expanding Domains, with Applications to Spectral Theory”, Math. Notes, 92:4 (2012), 574–576
40.	Yu. A. Kordyukov, “Classical and quantum ergodicity on orbifolds”, Russian Journal of Mathematical Physics, 19:3 (2012), 307–316 , Sp Maik Nauka/Interperiodica	2 ^[x]
41.	B. Helffer, Yu. A. Kordyukov, “Semiclassical spectral asymptotics for a two-dimensional magnetic Schrödinger operator II: The case of degenerate wells”, Communications in Partial Differential Equations, 37:6 (2012), 1057–1095 , Taylor & Francis Group	5 ^[x]
42.	Yu. A. Kordyukov, A. A. Yakovlev, “Integer points in domains and adiabatic limits”, St. Petersburg Math. J., 23:6 (2012), 977–987

2011
43.	Yuri A. Kordyukov, “Classical and Quantum Dynamics on Orbifolds”, SIGMA, 7 (2011), 106 , 12 pp., arXiv: 1111.5409	1 ^[x]
44.	Yu. A. Kordyukov, “Adiabatic limits and noncommutative Weyl formula”, Geometry, Exploratory Workshop on Differential Geometry and Its Applications, Cluj Univ. Press, Cluj-Napoca, 2011, 83–107
45.	B. Helffer, Yu. A. Kordyukov, “Semiclassical spectral asymptotics for a two-dimensional magnetic Schrödinger operator: the case of discrete wells”, Spectral theory and geometric analysis, Contemp. Math., 535, Amer. Math. Soc., Providence, RI, 2011, 55–78	13 ^[x]

2010
46.	Yu. A. Kordyukov, “Noncommutative Hamiltonian dynamics on foliated manifolds”, Journal of Fixed Point Theory and Applications, 7:2 (2010), 385–399
47.	Yu. A. Kordyukov, “Classical and quantum dynamics in transverse geometry of Riemannian foliations”, Spectrum and dynamics, CRM Proc. Lecture Notes, 52, Amer. Math. Soc., Providence, RI, 2010, 57–74	1 ^[x]

2009
48.	Yu. A. Kordyukov, “Index theory and non-commutative geometry on foliated manifolds”, Russian Math. Surveys, 64:2 (2009), 273–391
49.	B. Helffer, Yu. A. Kordyukov, “Semiclassical analysis of Schrödinger operators with magnetic wells”, Spectral and scattering theory for quantum magnetic systems, Contemp. Math., 500, Amer. Math. Soc., Providence, RI, 2009, 105–121	4 ^[x]
50.	B. Helffer, Yu. A. Kordyukov, “Spectral gaps for periodic Schrödinger operators with hypersurface magnetic wells: analysis near the bottom”, Journal of Functional Analysis, 257:10 (2009), 3043–3081 , Academic Press	9 ^[x]

2008
51.	Yu. A. Kordyukov, B. Helffer, “Periodic Magnetic Schrödinger Operators: Spectral Gaps and Tunneling Effect”, Proc. Steklov Inst. Math., 261 (2008), 171–182
52.	J. A. Alvarez Lopez, Yu. A. Kordyukov, “Transversality and Lefschetz numbers for foliation maps”, Journal of Fixed Point Theory and Applications, 3:2 (2008), 273–305
53.	Yu. A. Kordyukov, “Noncommutative geometry of foliations”, Journal of K-theory: K-theory and its Applications to Algebra, Geometry, and Topology, 2:02 (2008), 219–327 , Cambridge University Press	6 ^[x]
54.	B. Helffer, Yu. A. Kordyukov, “Spectral gaps for periodic Schrödinger operators with hypersurface magnetic wells”, Mathematical results in quantum mechanics, World Sci. Publ., Hackensack, NJ, 2008, 137–154	1 ^[x]
55.	Yu. A. Kordyukov, “Vanishing theorem for transverse Dirac operators on Riemannian foliations”, Annals of Global Analysis and Geometry, 34:2 (2008), 195–211 , Springer	8 ^[x]
56.	Yu. A. Kordyukov, A. A. Yakovlev, “Adiabatic limits and the spectrum of the Laplacian on foliated manifolds”, $C^*$-algebras and elliptic theory, Trends Math., Birkhäuser, Basel, 2008, 123–144	8 ^[x]
57.	J. A. Alvarez Lopez, Yu. A. Kordyukov, “Lefschetz distribution of Lie foliations”, $C^*$-algebras and elliptic theory, Trends Math., Birkhäuser, Basel, 2008, 1–40	3 ^[x]
58.	B. Helffer, Yu. Kordyukov, “Semiclassical asymptotics and gaps in the spectra of periodic Schrödinger operators with magnetic wells”, Transactions of the American Mathematical Society, 360:3 (2008), 1681–1694	4 ^[x]

2007
59.	Yu. A. Kordyukov, “The Egorov theorem for transverse Dirac-type operators on foliated manifolds”, Journal of Geometry and Physics, 57:11 (2007), 2345–2364 , Elsevier	9 ^[x]
60.	Yu. A. Kordyukov, A. A. Yakovlev, “Adiabaticheskie predely i nekotorye zadachi teorii chisel”, Vestnik Ufimskogo gosudarstvennogo aviatsionnogo universiteta, 9:3 (2007), 20–23

2006
61.	Yu. A. Kordyukov, “Noncommutative spectral geometry of Riemannian foliations: some results and open problems”, Foliations 2005, World Sci. Publ., Hackensack, NJ, 2006, 251–291	1 ^[x]
62.	Yu. A. Kordyukov, “Semiclassical asymptotics and spectral gaps for periodic magnetic Schrödinger operators on covering manifolds”, C*-algebras and Elliptic Theory, Birkhäuser, Basel, 2006, 129–150	1 ^[x]
63.	Yu. A. Kordyukov, A. A. Yakovlev, “Spektr operatora Laplasa na differentsialnykh formakh na rimanovykh mnogoobraziyakh Geizenberga”, Vestnik Ufimskogo gosudarstvennogo aviatsionnogo universiteta, 7:2 (2006), 210–212

2005
64.	Yu. A. Kordyukov, “Egorov’s theorem for transversally elliptic operators on foliated manifolds and noncommutative geodesic flow”, Mathematical Physics, Analysis and Geometry, 8:2 (2005), 97–119 , Kluwer Academic Publishers	6 ^[x]
65.	Yu. Kordyukov, V. Mathai, M. Shubin, “Equivalence of spectral projections in semiclassical limit and a vanishing theorem for higher traces in $K$-theory”, J. Reine Angew. Math., 581 (2005), 193–236	6 ^[x]
66.	Yu. A. Kordyukov, “Spectral gaps for periodic Schrödinger operators with strong magnetic fields”, Communications in mathematical physics, 253:2 (2005), 371–384 , Springer-Verlag	4 ^[x]

2002
67.	Yu. A. Kordyukov, “Semiclassical spectral asymptotics on foliated manifolds”, Mathematische Nachrichten, 245:1 (2002), 104–128 , Wiley-Vch Verlag	4 ^[x]
68.	J. A. Alvarez Lopez, Yu. A. Kordyukov, “Distributional Betti numbers of transitive foliations of codimension one”, Foliations: geometry and dynamics (Warsaw, 2000), World Sci. Publ., River Edge, NJ, 2002, 159–183

2001
69.	J. A. Alvarez Lopez, Yu. A. Kordyukov, “Long time behaviour of leafwise heat flow for Riemannian foliations”, Compositio Mathematica, 125:2 (2001), 129–153 , Springer	16 ^[x]
70.	Yu. A. Kordyukov, “The trace formula for transversally elliptic operators on Riemannian foliations”, St. Petersburg Math. J., 12:3 (2001), 407–422

2000
71.	J. A. Alvarez Lopez, Yu. A. Kordyukov, “Adiabatic limits and spectral sequences for Riemannian foliations”, Geometric & Functional Analysis, 10:5 (2000), 977–1027 , Birkhäuser Verlag	20 ^[x]
72.	Yu. A. Kordyukov, “$L^p$-Estimates for Functions of Elliptic Operators on Manifolds of Bounded Geometry”, Russian Journal of Mathematical Physics, 7:2 (2000), 216–229 , John Wiley & Sons, Inc.

1999
73.	Yu. A. Kordyukov, “Adiabatic limits and spectral geometry of foliations”, Mathematische Annalen, 313:4 (1999), 763–783 , Springer	17 ^[x]

1997
74.	Yu. A. Kordyukov, “Noncommutative spectral geometry of Riemannian foliations”, manuscripta mathematica, 94:1 (1997), 45–73 , Springer	14 ^[x]

1995
75.	Yu. A. Kordyukov, “Functional calculus for tangentially elliptic operators on foliated manifolds”, Analysis and Geometry in Foliated Manifolds, Proceedings of the VII International Colloquium on Differential Geometry, Santiago de Compostela, 1994, World Sci. Publ, River Edge, NJ, 1995, 113–136
76.	Yu. A. Kordyukov, “Semiclassical Asymptotics of the Spectrum of Hypoelliptic Operators on a Foliated Manifold”, Funct. Anal. Appl., 29:3 (1995), 211–213
77.	Yu. A. Kordyukov, “Transversally elliptic operators on a G-manifold of bounded geometry”, Russian journal of mathematical physics, 3 (1995), 41–64 , John Wiley & Sons, Inc.

1994
78.	Yu. A. Kordyukov, “Transversally elliptic operators on G-manifolds of bounded geometry”, Russian J. Math. Phys, 2:2 (1994), 175–198

1993
79.	Yu. A. Kordyukov, “Quasiclassical asymptotics of the spectrum of elliptic operators in a foliated manifold”, Math. Notes, 53:1 (1993), 104–105

1991
80.	Yu. A. Kordyukov, “$L^p$-theory of elliptic differential operators on manifolds of bounded geometry”, Acta Applicandae Mathematicae, 23:3 (1991), 223–260 , Springer	54 ^[x]

1988
81.	Yu. A. Kordyukov, “$L^p$-teoriya ellipticheskikh differentsialnykh operatorov s ogranichennymi koeffitsientami”, Vestnik Moskovskogo universiteta. Seriya 1, Matematika, mekhanika, 1988, no. 4, 98–100

1985
82.	Yu. A. Kordyukov, “A theorem on coincidence of spectra for tangentially elliptic operators on foliated manifolds”, Funct. Anal. Appl., 19:4 (1985), 327–328

Presentations in Math-Net.Ru

1.	Connes trace theorem for contact manifolds Yu. A. Kordyukov Algebras in Analysis November 1, 2024 17:00
2.	Теорема Конна о следах для контактных многообразий Yu. A. Kordyukov May 27, 2024 11:40
3.	Berezin–Toeplitz quantization on symplectic manifolds of bounded geometry Yu. A. Kordyukov International Conference on Complex Analysis Dedicated to the Memory of Andrei Gonchar and Anatoliy Vitushkin November 24, 2023 15:00
4.	Semiclassical spectral asymptotics for magnetic Schrödinger operator and quantum Hall effect Yu. A. Kordyukov Complex analysis and mathematical physics March 28, 2023 16:00
5.	Semiclassical asymptotics of the spectral function of the magnetic Schrodinger operator Yu. A. Kordyukov International Conference Dedicated to the 100th Anniversary of the Birthday of V. S. Vladimirov (Vladimirov-100) January 12, 2023 14:00
6.	Lefschetz Formulas for Singular Flows on Foliated Manifolds Yu. A. Kordyukov Global analysis in modern theory of differential equations December 13, 2022 15:00
7.	Semiclassical spectral asymptotics for the magnetic Schrödinger operator Yu. A. Kordyukov Scientific seminar on the differential and functional differential equations December 13, 2022 12:00
8.	Квазиклассические асимптотики спектральной функции магнитного оператора Шредингера на многообразии ограниченной геометрии Yu. A. Kordyukov November 8, 2022 15:00
9.	Квазиклассические формулы следа для лапласиана Бохнера на линейном расслоении Yu. A. Kordyukov Noncommutative geometry and topology March 31, 2022 16:45
10.	Lefschetz formulas for flows on manifolds with foliation and analogies in number theory Yu. A. Kordyukov Arithmetic geometry seminar December 13, 2021 15:00
11.	Квантование по Березину-Тёплицу и спектральный анализ лапласианов Бохнера Yu. A. Kordyukov August 10, 2021 15:30
12.	Berezin–Toeplitz quantizations associated with Landau levels of the Bochner Laplacian on a symplectic manifold Yu. A. Kordyukov Mathematical Physics, Dynamical Systems and Infinite-Dimensional Analysis – 2021 July 6, 2021 12:15
13.	Berezin-Toeplitz quantizations associated with Landau levels of the Bochner Laplacian on a symplectic manifold Yu. A. Kordyukov Noncommutative geometry and topology April 1, 2021 16:45
14.	Trace formula for the magnetic Laplacian Yu. A. Kordyukov Dynamics in Siberia - 2019 March 1, 2019 10:20
15.	Формулы следов для магнитного лапласиана Yu. A. Kordyukov December readings in Tomsk December 14, 2018 11:40
16.	Magnetic Laplacians, generalized Bergman kernels and Berezin–Toeplitz quantization on symplectic manifolds Yu. A. Kordyukov Dynamics in Siberia - 2018 March 1, 2018 10:20
17.	Semiclassical spectral asymptotics for magnetic Schrödinger operator Yu. A. Kordyukov Complex analysis and mathematical physics April 16, 2012 16:00

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