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Kochergin, Andrey Vasilyevich

Total publications: 27 (26)
in MathSciNet: 16 (15)
in zbMATH: 17 (16)
in Web of Science: 9 (8)
in Scopus: 8 (8)
Cited articles: 15
Citations in Math-Net.Ru: 111
Citations in Web of Science: 37
Citations in Scopus: 22
Presentations: 1

Number of views:
This page:2117
Abstract pages:2608
Full texts:851
References:385
Professor
Doctor of physico-mathematical sciences (2005)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail: ,
Keywords: dynamical systems; ergodic thery; mixing; spectral properties of dynamical systems; cocycles.

Subject:

The technique of studying of mixing properties of special flows is developed on the basis of properties of cocycle distribution. Original results about mixing properties of the measure preserving flows, including, flows on two-dimensional surfaces are received. A number of results about dependence of mixing properties of flows on the two-dimensional torus from smoothness and number of rotation is received also. Influence of fixed points on mixing properties of flows on surfaces is investigated. For ergodic with non atomic Borel measure flow on a compact manifold it is shown, that any time change is equivalent to differentiable one with the derivative continuous everywhere, except for one point.

Biography

Graduated from Faculty of Mathematics and Mechanics of M. V. Lomonosov Moscow State University (MSU) in 1969, postgraduate study in 1972 (department of theory of functions and functional analysis). Ph.D. thesis was defended in 1974. At 80–90 ăă. I dealt with applied problems in engineering, a national economy, educational process. Dr.Sci. thesis was defended in 2005.

   
Main publications:
  1. A. V. Kochergin, “Nondegenerate Saddles and Nonmixing Transformations II”, Math. Notes, 81:1 (2007), 126–129  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
  2. A. V. Kochergin, “Nondegenerate Saddle Points and the Absence of Mixing in Flows on Surfaces”, Proc. Steklov Inst. Math., 256 (2007), 238–252  mathnet  crossref  mathscinet  zmath  elib  elib  scopus
  3. A. V. Kochergin, “Non-degenerate fixed points and mixing in flows on a 2-torus. II”, Sb. Math., 195:3 (2004), 317–346  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
  4. A. V. Kočergin, “On mixing in special flows over a shifting of segments and in smooth flows on surfaces”, Math. USSR-Sb., 25:3 (1975), 441–469  mathnet  crossref  mathscinet  zmath
  5. A. V. Kočergin, “Time changes in flows and mixing”, Math. USSR-Izv., 7:6 (1973), 1273–1294  mathnet  crossref  mathscinet  zmath

http://www.mathnet.ru/eng/person11718
http://scholar.google.com/citations?user=3jHRt38AAAAJ&hl=en
http://zbmath.org/authors/?q=ai:kochergin.a-v
https://mathscinet.ams.org/mathscinet/MRAuthorID/697838
http://elibrary.ru/author_items.asp?authorid=354536
ISTINA http://istina.msu.ru/workers/1358959

Full list of publications:
| by years | by types | by times cited in WoS | by times cited in Scopus | scientific publications | common list |



   2018
1. A. V. Kochergin, “New examples of Besicovitch transitive cylindrical cascades”, Sb. Math., 209:9 (2018), 1257–1272  mathnet  crossref  crossref  adsnasa  isi  elib  scopus

   2016
2. A. V. Kochergin, “Besicovitch Cylindrical Transformation with a Hölder Function”, Math. Notes, 99:3 (2016), 382–389  mathnet  crossref  crossref  mathscinet  isi (cited: 2)  elib  scopus (cited: 1)
3. Kochergin A.V., “On discrete orbits for a cylindrical cascade with a Hölder function”, Mezhdunarodnaya konferentsiya «Sistemy Anosova i sovremennaya dinamika», posvyaschennaya 80-letiyu D.V.Anosova. Tezisy dokladov (Moskva, 19–23 dekabrya 2016 g.), MIAN, 2016, 60–62
4. Kochergin A.V., “Uslovie Gëldera i diskretnye orbity tsilindricheskogo kaskada”, Mezhdunarodnaya konferentsiya po differentsialnym uravneniyam i dinamicheskim sistemam. Tezisy dokladov. (Suzdal, 8–12 iyulya 2016 g.), MIAN, Moskva, 2016, 107–108

   2015
5. Andrey Kochergin, “A BESICOVITCH CYLINDRICAL TRANSFORMATION WITH HÖLDER FUNCTION”, Electronic Research Announcements in Mathematical Sciences, izdatelstvo American Mathematical Society, 22 (2015), 87–91 (Published online)  crossref

   2008
6. A.V. Kochergin, “Nevyrozhdennye nepodvizhnye tochki v potokakh na poverkhnostyakh i otsutstvie peremeshivaniya.”, Differentsialnye uravneniya i topologiya: Mezhdunarodnaya kon-ferentsiya, posvyaschennaya 100-letiyu so dnya rozhdeniya L.S. Pontryagina: Tezisy dokladov (Moskva, 17–21 iyunya 2008.), Izd. otd. VMiK MGU im. M.V. Lomonosova; MAKS - Press, Moskva, 2008, 147

   2007
7. A. V. Kochergin, “Nondegenerate Saddles and Nonmixing Transformations II”, Math. Notes, 81:1 (2007), 126–129  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  elib  elib  scopus
8. A. V. Kochergin, “Nondegenerate Saddle Points and the Absence of Mixing in Flows on Surfaces”, Proc. Steklov Inst. Math., 256 (2007), 238–252  mathnet  crossref  mathscinet  zmath  elib (cited: 5)  elib (cited: 5)  scopus (cited: 4)
9. Andrey Kochergin, “Causes of stretching of Birkhoff sums and mixing in flows on surfaces”, Dynamics, Ergodic Theory, and Geometry., Dedicated to Anatole Katok, Recent Progress in Dynamics. MSRI Publications, 54, Cambridge University Press, 2007, 129–144  mathscinet  zmath
10. A. Yu. Zhirov, A. V. Kochergin, R. V. Plykin, E. A. Sataev, A. M. Stepin, “Dmitrii Viktorovich Anosov (on his 70th birthday)”, Russian Math. Surveys, 62:2 (2007), 401–402  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib

   2005
11. Kochergin Andrei Vasilevich, Primenenie teoretiko–funktsionalnykh i approksimatsionnykh metodov v issledovanii peremeshivayuschikh svoistv dinamicheskikh sistem, Avtoreferat diss. … dokt. fiz.-matem. nauk, MGU im. M.V. Lomonosova, mekh.-mat. fakultet, Moskva, 2005 , 24 pp.

   2004
12. A. V. Kochergin, “Generalizations of theorems on mixing flows with non-degenerate saddle points on a 2-torus”, Sb. Math., 195:9 (2004), 1253–1270  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 3)  scopus (cited: 2)
13. A. V. Kochergin, “Non-degenerate fixed points and mixing in flows on a 2-torus. II”, Sb. Math., 195:3 (2004), 317–346  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 8)  scopus (cited: 4)
14. A. V. Kochergin, “Hölder Time Change and Mixing Rate in a Flow on the Two-Dimensional Torus”, Proc. Steklov Inst. Math., 244 (2004), 201–232  mathnet  mathscinet  zmath
15. A. Kochergin, “Well approximable angles and mixing for flows on \bb T^2 with non-singular fixed points”, Electronic Research Announcements of the American Mathematical Society, 10:13 (2004), 113–121  crossref  mathscinet  zmath  isi (cited: 6)
16. Kochergin Andrei Vasilevich, Primenenie teoretiko–funktsionalnykh i approksimatsionnykh metodov v issledovanii peremeshivayuschikh svoistv dinamicheskikh sistem, Diss. … dokt. fiz.-matem. nauk, MGU im. M.V. Lomonosova, mekh.-mat. fakultet, Moskva, 2004 , 244 pp.
17. A.V. Kochergin, ““Diskretnye” effekty v gladkikh potokakh s nevyrozhdennymi sedlami na dvumernom tore.”, Mezhdunarodnaya konferentsiya “Differentsialnye uravneniya i smezhnye voprosy”, posvyaschennaya 103–letiyu so dnya rozhdeniya I.G. Petrovskogo. Sbornik tezisov. (Moskva, 16–22 maya 2004), Izdatelstvo Moskovskogo universiteta, Moskva, 2004, 107

   2003
18. A. V. Kochergin, “Non-degenerate fixed points and mixing in flows on a 2-torus”, Sb. Math., 194:8 (2003), 1195–1224  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 8)  elib (cited: 4)  scopus (cited: 5)

   2002
19. A. V. Kochergin, “A mixing special flow over a circle rotation with almost Lipschitz function”, Sb. Math., 193:3 (2002), 359–385  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 8)  elib (cited: 10)  scopus (cited: 6)

   1976
20. A. V. Kočergin, “Nonsingular saddle points and the absence of mixing”, Math. Notes, 19:3 (1976), 277–286  mathnet  crossref  mathscinet  zmath
21. A.V. Kočergin, “On the Homology of Functions over Dynamical Systems.”, Soviet Mathematics - Doklady, 17:6 (1976), 1637–1641  mathnet  mathscinet  zmath

   1975
22. A. V. Kočergin, “On mixing in special flows over a shifting of segments and in smooth flows on surfaces”, Math. USSR-Sb., 25:3 (1975), 441–469  mathnet  crossref  mathscinet  zmath

   1974
23. A.V. Kochergin, O svoistvakh peremeshivaniya u nekotorykh klassov potokov s invariantnoi meroi., Diss. … kand. fiz.-matem. nauk, Moskovskii gosudarstvennyi universitet im. M.V. Lomonosova, Moskva, 1974 , 113 pp.
24. A.V. Kochergin, O svoistvakh peremeshivaniya u nekotorykh klassov potokov s invariantnoi meroi, Avtoreferat diss. … kand. fiz.-matem. nauk, Izdatelstvo Moskovskogo universiteta, Moskva, 1974 , 10 pp.

   1973
25. A. V. Kočergin, “Time changes in flows and mixing”, Math. USSR-Izv., 7:6 (1973), 1273–1294  mathnet  crossref  mathscinet  zmath
26. V. M. Alekseev, A.V. Kočergin, V. M. El'jasberg, “On one method of approximation of processes in uniform biological structures.”, Automation and Remote Control, 34:8 (1973), 1244–1253  mathnet  zmath  zmath

   1972
27. A.V. Kočergin, “On the Absence of Mixing in special Flows over the Rotation of a Circle and in Flows on a Two-dimensional Torus.”, Soviet Mathematics - Doklady, 13:4 (1972), 949–952  mathnet  mathscinet  zmath

Presentations in Math-Net.Ru
1. On discrete orbits for a cylindrical cascade with a Hölder function
A. V. Kochergin
International Conference “Anosov Systems and Modern Dynamics” dedicated to the 80th anniversary of Dmitry Anosov
December 22, 2016 17:00

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