Vadim Kaloshin

Kaloshin Group

50 Publications

Mark all

[50]
2023 | Journal Article | IST-REx-ID: 12877 | OA
De Simoi J, Kaloshin V, Leguil M. Marked Length Spectral determination of analytic chaotic billiards with axial symmetries. Inventiones Mathematicae. 2023;233:829-901. doi:10.1007/s00222-023-01191-8
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[49]
2023 | Journal Article | IST-REx-ID: 14427 | OA
Chen J, Kaloshin V, Zhang HK. Length spectrum rigidity for piecewise analytic Bunimovich billiards. Communications in Mathematical Physics. 2023. doi:10.1007/s00220-023-04837-z
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[48]
2022 | Journal Article | IST-REx-ID: 12145 | OA
Koudjinan E, Kaloshin V. On some invariants of Birkhoff billiards under conjugacy. Regular and Chaotic Dynamics. 2022;27(6):525-537. doi:10.1134/S1560354722050021
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
[47]
2021 | Preprint | IST-REx-ID: 9435 | OA
Kaloshin V, Koudjinan E. Non co-preservation of the 1/2 and  1/(2l+1)-rational caustics along deformations of circles. 2021.
[Submitted Version] View | Files available
 
[46]
2020 | Book | IST-REx-ID: 8414
Kaloshin V, Zhang K. Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom. Vol 208. 1st ed. Princeton University Press; 2020. doi:10.1515/9780691204932
View | DOI
 
[45]
2019 | Journal Article | IST-REx-ID: 8415 | OA
Bálint P, De Simoi J, Kaloshin V, Leguil M. Marked length spectrum, homoclinic orbits and the geometry of open dispersing billiards. Communications in Mathematical Physics. 2019;374(3):1531-1575. doi:10.1007/s00220-019-03448-x
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[44]
2019 | Journal Article | IST-REx-ID: 8418 | OA
Guardia M, Kaloshin V, Zhang J. Asymptotic density of collision orbits in the Restricted Circular Planar 3 Body Problem. Archive for Rational Mechanics and Analysis. 2019;233(2):799-836. doi:10.1007/s00205-019-01368-7
[Published Version] View | DOI | Download Published Version (ext.)
 
[43]
2019 | Journal Article | IST-REx-ID: 8416 | OA
Huang G, Kaloshin V. On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables. Moscow Mathematical Journal. 2019;19(2):307-327. doi:10.17323/1609-4514-2019-19-2-307-327
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[42]
2018 | Journal Article | IST-REx-ID: 8417
Delshams A, Kaloshin V, de la Rosa A, Seara TM. Global instability in the restricted planar elliptic three body problem. Communications in Mathematical Physics. 2018;366(3):1173-1228. doi:10.1007/s00220-018-3248-z
View | DOI
 
[41]
2018 | Journal Article | IST-REx-ID: 8422 | OA
Huang G, Kaloshin V, Sorrentino A. Nearly circular domains which are integrable close to the boundary are ellipses. Geometric and Functional Analysis. 2018;28(2):334-392. doi:10.1007/s00039-018-0440-4
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[40]
2018 | Journal Article | IST-REx-ID: 8421 | OA
Kaloshin V, Sorrentino A. On the local Birkhoff conjecture for convex billiards. Annals of Mathematics. 2018;188(1):315-380. doi:10.4007/annals.2018.188.1.6
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[39]
2018 | Journal Article | IST-REx-ID: 8419
Kaloshin V, Sorrentino A. On the integrability of Birkhoff billiards. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2018;376(2131). doi:10.1098/rsta.2017.0419
View | DOI
 
[38]
2018 | Journal Article | IST-REx-ID: 8420 | OA
Kaloshin V, Zhang K. Density of convex billiards with rational caustics. Nonlinearity. 2018;31(11):5214-5234. doi:10.1088/1361-6544/aadc12
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[37]
2018 | Journal Article | IST-REx-ID: 8426 | OA
Buhovsky L, Kaloshin V. Nonisometric domains with the same Marvizi-Melrose invariants. Regular and Chaotic Dynamics. 2018;23:54-59. doi:10.1134/s1560354718010057
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[36]
2017 | Journal Article | IST-REx-ID: 8423 | OA
Huang G, Kaloshin V, Sorrentino A. On the marked length spectrum of generic strictly convex billiard tables. Duke Mathematical Journal. 2017;167(1):175-209. doi:10.1215/00127094-2017-0038
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[35]
2017 | Journal Article | IST-REx-ID: 8427 | OA
De Simoi J, Kaloshin V, Wei Q. Dynamical spectral rigidity among Z2-symmetric strictly convex domains close to a circle. Annals of Mathematics. 2017;186(1):277-314. doi:10.4007/annals.2017.186.1.7
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[34]
2016 | Journal Article | IST-REx-ID: 8497
Féjoz J, Guàrdia M, Kaloshin V, Roldán P. Kirkwood gaps and diffusion along mean motion resonances in the restricted planar three-body problem. Journal of the European Mathematical Society. 2016;18(10):2315-2403. doi:10.4171/jems/642
View | DOI
 
[33]
2016 | Journal Article | IST-REx-ID: 8496
Avila A, De Simoi J, Kaloshin V. An integrable deformation of an ellipse of small eccentricity is an ellipse. Annals of Mathematics. 2016;184(2):527-558. doi:10.4007/annals.2016.184.2.5
View | DOI
 
[32]
2016 | Journal Article | IST-REx-ID: 8493
Guardia M, Kaloshin V, Zhang J. A second order expansion of the separatrix map for trigonometric perturbations of a priori unstable systems. Communications in Mathematical Physics. 2016;348:321-361. doi:10.1007/s00220-016-2705-9
View | DOI
 
[31]
2016 | Journal Article | IST-REx-ID: 8494
Bernard P, Kaloshin V, Zhang K. Arnold diffusion in arbitrary degrees of freedom and normally hyperbolic invariant cylinders. Acta Mathematica. 2016;217(1):1-79. doi:10.1007/s11511-016-0141-5
View | DOI
 
[30]
2015 | Journal Article | IST-REx-ID: 8498
Kaloshin V, Zhang K. Arnold diffusion for smooth convex systems of two and a half degrees of freedom. Nonlinearity. 2015;28(8):2699-2720. doi:10.1088/0951-7715/28/8/2699
View | DOI
 
[29]
2015 | Journal Article | IST-REx-ID: 8499
Guardia M, Kaloshin V. Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation. Journal of the European Mathematical Society. 2015;17(1):71-149. doi:10.4171/jems/499
View | DOI
 
[28]
2015 | Journal Article | IST-REx-ID: 8495
Bounemoura A, Kaloshin V. A note on micro-instability for Hamiltonian systems close to integrable. Proceedings of the American Mathematical Society. 2015;144(4):1553-1560. doi:10.1090/proc/12796
View | DOI
 
[27]
2014 | Journal Article | IST-REx-ID: 8501
Bounemoura A, Kaloshin V. Generic fast diffusion for a class of non-convex Hamiltonians with two degrees of freedom. Moscow Mathematical Journal. 2014;14(2):181-203. doi:10.17323/1609-4514-2014-14-2-181-203
[Preprint] View | DOI | arXiv
 
[26]
2014 | Journal Article | IST-REx-ID: 8500
Kaloshin V, Levi M, Saprykina M. Arnol′d diffusion in a pendulum lattice. Communications on Pure and Applied Mathematics. 2014;67(5):748-775. doi:10.1002/cpa.21509
View | DOI
 
[25]
2012 | Journal Article | IST-REx-ID: 8502
Kaloshin V, Saprykina M. An example of a nearly integrable Hamiltonian system with a trajectory dense in a set of maximal Hausdorff dimension. Communications in Mathematical Physics. 2012;315(3):643-697. doi:10.1007/s00220-012-1532-x
View | DOI
 
[24]
2012 | Journal Article | IST-REx-ID: 8504
Kaloshin V, KOZLOVSKI OS. A Cr unimodal map with an arbitrary fast growth of the number of periodic points. Ergodic Theory and Dynamical Systems. 2012;32(1):159-165. doi:10.1017/s0143385710000817
View | DOI
 
[23]
2012 | Journal Article | IST-REx-ID: 8503
Albouy A, Kaloshin V. Finiteness of central configurations of five bodies in the plane. Annals of Mathematics. 2012;176(1):535-588. doi:10.4007/annals.2012.176.1.10
View | DOI
 
[22]
2011 | Journal Article | IST-REx-ID: 8505
Galante J, Kaloshin V. Destruction of invariant curves in the restricted circular planar three-body problem by using comparison of action. Duke Mathematical Journal. 2011;159(2):275-327. doi:10.1215/00127094-1415878
View | DOI
 
[21]
2010 | Conference Paper | IST-REx-ID: 8507
Kaloshin V, ZHANG K, ZHENG Y. Almost dense orbit on energy surface. In: XVIth International Congress on Mathematical Physics. World Scientific; 2010:314-322. doi:10.1142/9789814304634_0017
View | DOI
 
[20]
2010 | Book Chapter | IST-REx-ID: 8506
Hunt BR, Kaloshin V. Prevalence. In: Handbook of Dynamical Systems. Vol 3. Elsevier; 2010:43-87. doi:10.1016/s1874-575x(10)00310-3
View | DOI
 
[19]
2009 | Journal Article | IST-REx-ID: 8508
Gorodetski A, Kaloshin V. Conservative homoclinic bifurcations and some applications. Proceedings of the Steklov Institute of Mathematics. 2009;267(1):76-90. doi:10.1134/s0081543809040063
View | DOI
 
[18]
2008 | Journal Article | IST-REx-ID: 8510
Kaloshin V, Levi M. An example of Arnold diffusion for near-integrable Hamiltonians. Bulletin of the American Mathematical Society. 2008;45(3):409-427. doi:10.1090/s0273-0979-08-01211-1
View | DOI
 
[17]
2008 | Journal Article | IST-REx-ID: 8509
Kaloshin V, Levi M. Geometry of Arnold diffusion. SIAM Review. 2008;50(4):702-720. doi:10.1137/070703235
View | DOI
 
[16]
2007 | Journal Article | IST-REx-ID: 8511
Gorodetski A, Kaloshin V. How often surface diffeomorphisms have infinitely many sinks and hyperbolicity of periodic points near a homoclinic tangency. Advances in Mathematics. 2007;208(2):710-797. doi:10.1016/j.aim.2006.03.012
View | DOI
 
[15]
2007 | Journal Article | IST-REx-ID: 8512
Kaloshin V, Hunt B. Stretched exponential estimates on growth of the number of periodic points for prevalent diffeomorphisms I. Annals of Mathematics. 2007;165(1):89-170. doi:10.4007/annals.2007.165.89
View | DOI
 
[14]
2006 | Journal Article | IST-REx-ID: 8514
OTT W, HUNT B, Kaloshin V. The effect of projections on fractal sets and measures in Banach spaces. Ergodic Theory and Dynamical Systems. 2006;26(3):869-891. doi:10.1017/s0143385705000714
View | DOI
 
[13]
2006 | Conference Paper | IST-REx-ID: 8515
Kaloshin V, DOLGOPYAT D, KORALOV L. Long time behaviour of periodic stochastic flows. In: XIVth International Congress on Mathematical Physics. World Scientific; 2006:290-295. doi:10.1142/9789812704016_0026
View | DOI
 
[12]
2006 | Journal Article | IST-REx-ID: 8513
Kaloshin V, Saprykina M. Generic 3-dimensional volume-preserving diffeomorphisms with superexponential growth of number of periodic orbits. Discrete & Continuous Dynamical Systems - A. 2006;15(2):611-640. doi:10.3934/dcds.2006.15.611
View | DOI
 
[11]
2005 | Journal Article | IST-REx-ID: 8516
Bourgain J, Kaloshin V. On diffusion in high-dimensional Hamiltonian systems. Journal of Functional Analysis. 2005;229(1):1-61. doi:10.1016/j.jfa.2004.09.006
View | DOI
 
[10]
2004 | Journal Article | IST-REx-ID: 8517
Dolgopyat D, Kaloshin V, Koralov L. A limit shape theorem for periodic stochastic dispersion. Communications on Pure and Applied Mathematics. 2004;57(9):1127-1158. doi:10.1002/cpa.20032
View | DOI
 
[9]
2004 | Journal Article | IST-REx-ID: 8518
Koralov L, Kaloshin V, Dolgopyat D. Sample path properties of the stochastic flows. The Annals of Probability. 2004;32(1A):1-27. doi:10.1214/aop/1078415827
View | DOI
 
[8]
2003 | Journal Article | IST-REx-ID: 8519
Kaloshin V. The existential Hilbert 16-th problem and an estimate for cyclicity of elementary polycycles. Inventiones mathematicae. 2003;151(3):451-512. doi:10.1007/s00222-002-0244-9
View | DOI
 
[7]
2001 | Journal Article | IST-REx-ID: 8522
Kaloshin V, Hunt BR. A stretched exponential bound on the rate of growth of the number of periodic points for prevalent diffeomorphisms I. Electronic Research Announcements of the American Mathematical Society. 2001;7(4):17-27. doi:10.1090/s1079-6762-01-00090-7
View | DOI
 
[6]
2001 | Journal Article | IST-REx-ID: 8521
Kaloshin V, Hunt BR. A stretched exponential bound on the rate of growth of the number of periodic points for prevalent diffeomorphisms II. Electronic Research Announcements of the American Mathematical Society. 2001;7(5):28-36. doi:10.1090/s1079-6762-01-00091-9
View | DOI
 
[5]
2001 | Journal Article | IST-REx-ID: 8524
Kaloshin V, Rodnianski I. Diophantine properties of elements of SO(3). Geometric And Functional Analysis. 2001;11(5):953-970. doi:10.1007/s00039-001-8222-8
View | DOI
 
[4]
2000 | Journal Article | IST-REx-ID: 8525
Kaloshin V. Generic diffeomorphisms with superexponential growth of number of periodic orbits. Communications in Mathematical Physics. 2000;211:253-271. doi:10.1007/s002200050811
View | DOI
 
[3]
1999 | Journal Article | IST-REx-ID: 8526
Kaloshin V. An extension of the Artin-Mazur theorem. The Annals of Mathematics. 1999;150(2):729-741. doi:10.2307/121093
View | DOI
 
[2]
1997 | Journal Article | IST-REx-ID: 8528
Kaloshin V. Prevalence in the space of finitely smooth maps. Functional Analysis and Its Applications. 1997;31(2):95-99. doi:10.1007/bf02466014
View | DOI
 
[1]
1997 | Journal Article | IST-REx-ID: 8527
Hunt BR, Kaloshin V. How projections affect the dimension spectrum of fractal measures. Nonlinearity. 1997;10(5):1031-1046. doi:10.1088/0951-7715/10/5/002
View | DOI
 
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50 Publications

Mark all

[50]
2023 | Journal Article | IST-REx-ID: 12877 | OA
De Simoi J, Kaloshin V, Leguil M. Marked Length Spectral determination of analytic chaotic billiards with axial symmetries. Inventiones Mathematicae. 2023;233:829-901. doi:10.1007/s00222-023-01191-8
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[49]
2023 | Journal Article | IST-REx-ID: 14427 | OA
Chen J, Kaloshin V, Zhang HK. Length spectrum rigidity for piecewise analytic Bunimovich billiards. Communications in Mathematical Physics. 2023. doi:10.1007/s00220-023-04837-z
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[48]
2022 | Journal Article | IST-REx-ID: 12145 | OA
Koudjinan E, Kaloshin V. On some invariants of Birkhoff billiards under conjugacy. Regular and Chaotic Dynamics. 2022;27(6):525-537. doi:10.1134/S1560354722050021
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
[47]
2021 | Preprint | IST-REx-ID: 9435 | OA
Kaloshin V, Koudjinan E. Non co-preservation of the 1/2 and  1/(2l+1)-rational caustics along deformations of circles. 2021.
[Submitted Version] View | Files available
 
[46]
2020 | Book | IST-REx-ID: 8414
Kaloshin V, Zhang K. Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom. Vol 208. 1st ed. Princeton University Press; 2020. doi:10.1515/9780691204932
View | DOI
 
[45]
2019 | Journal Article | IST-REx-ID: 8415 | OA
Bálint P, De Simoi J, Kaloshin V, Leguil M. Marked length spectrum, homoclinic orbits and the geometry of open dispersing billiards. Communications in Mathematical Physics. 2019;374(3):1531-1575. doi:10.1007/s00220-019-03448-x
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[44]
2019 | Journal Article | IST-REx-ID: 8418 | OA
Guardia M, Kaloshin V, Zhang J. Asymptotic density of collision orbits in the Restricted Circular Planar 3 Body Problem. Archive for Rational Mechanics and Analysis. 2019;233(2):799-836. doi:10.1007/s00205-019-01368-7
[Published Version] View | DOI | Download Published Version (ext.)
 
[43]
2019 | Journal Article | IST-REx-ID: 8416 | OA
Huang G, Kaloshin V. On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables. Moscow Mathematical Journal. 2019;19(2):307-327. doi:10.17323/1609-4514-2019-19-2-307-327
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[42]
2018 | Journal Article | IST-REx-ID: 8417
Delshams A, Kaloshin V, de la Rosa A, Seara TM. Global instability in the restricted planar elliptic three body problem. Communications in Mathematical Physics. 2018;366(3):1173-1228. doi:10.1007/s00220-018-3248-z
View | DOI
 
[41]
2018 | Journal Article | IST-REx-ID: 8422 | OA
Huang G, Kaloshin V, Sorrentino A. Nearly circular domains which are integrable close to the boundary are ellipses. Geometric and Functional Analysis. 2018;28(2):334-392. doi:10.1007/s00039-018-0440-4
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[40]
2018 | Journal Article | IST-REx-ID: 8421 | OA
Kaloshin V, Sorrentino A. On the local Birkhoff conjecture for convex billiards. Annals of Mathematics. 2018;188(1):315-380. doi:10.4007/annals.2018.188.1.6
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[39]
2018 | Journal Article | IST-REx-ID: 8419
Kaloshin V, Sorrentino A. On the integrability of Birkhoff billiards. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2018;376(2131). doi:10.1098/rsta.2017.0419
View | DOI
 
[38]
2018 | Journal Article | IST-REx-ID: 8420 | OA
Kaloshin V, Zhang K. Density of convex billiards with rational caustics. Nonlinearity. 2018;31(11):5214-5234. doi:10.1088/1361-6544/aadc12
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[37]
2018 | Journal Article | IST-REx-ID: 8426 | OA
Buhovsky L, Kaloshin V. Nonisometric domains with the same Marvizi-Melrose invariants. Regular and Chaotic Dynamics. 2018;23:54-59. doi:10.1134/s1560354718010057
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[36]
2017 | Journal Article | IST-REx-ID: 8423 | OA
Huang G, Kaloshin V, Sorrentino A. On the marked length spectrum of generic strictly convex billiard tables. Duke Mathematical Journal. 2017;167(1):175-209. doi:10.1215/00127094-2017-0038
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[35]
2017 | Journal Article | IST-REx-ID: 8427 | OA
De Simoi J, Kaloshin V, Wei Q. Dynamical spectral rigidity among Z2-symmetric strictly convex domains close to a circle. Annals of Mathematics. 2017;186(1):277-314. doi:10.4007/annals.2017.186.1.7
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[34]
2016 | Journal Article | IST-REx-ID: 8497
Féjoz J, Guàrdia M, Kaloshin V, Roldán P. Kirkwood gaps and diffusion along mean motion resonances in the restricted planar three-body problem. Journal of the European Mathematical Society. 2016;18(10):2315-2403. doi:10.4171/jems/642
View | DOI
 
[33]
2016 | Journal Article | IST-REx-ID: 8496
Avila A, De Simoi J, Kaloshin V. An integrable deformation of an ellipse of small eccentricity is an ellipse. Annals of Mathematics. 2016;184(2):527-558. doi:10.4007/annals.2016.184.2.5
View | DOI
 
[32]
2016 | Journal Article | IST-REx-ID: 8493
Guardia M, Kaloshin V, Zhang J. A second order expansion of the separatrix map for trigonometric perturbations of a priori unstable systems. Communications in Mathematical Physics. 2016;348:321-361. doi:10.1007/s00220-016-2705-9
View | DOI
 
[31]
2016 | Journal Article | IST-REx-ID: 8494
Bernard P, Kaloshin V, Zhang K. Arnold diffusion in arbitrary degrees of freedom and normally hyperbolic invariant cylinders. Acta Mathematica. 2016;217(1):1-79. doi:10.1007/s11511-016-0141-5
View | DOI
 
[30]
2015 | Journal Article | IST-REx-ID: 8498
Kaloshin V, Zhang K. Arnold diffusion for smooth convex systems of two and a half degrees of freedom. Nonlinearity. 2015;28(8):2699-2720. doi:10.1088/0951-7715/28/8/2699
View | DOI
 
[29]
2015 | Journal Article | IST-REx-ID: 8499
Guardia M, Kaloshin V. Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation. Journal of the European Mathematical Society. 2015;17(1):71-149. doi:10.4171/jems/499
View | DOI
 
[28]
2015 | Journal Article | IST-REx-ID: 8495
Bounemoura A, Kaloshin V. A note on micro-instability for Hamiltonian systems close to integrable. Proceedings of the American Mathematical Society. 2015;144(4):1553-1560. doi:10.1090/proc/12796
View | DOI
 
[27]
2014 | Journal Article | IST-REx-ID: 8501
Bounemoura A, Kaloshin V. Generic fast diffusion for a class of non-convex Hamiltonians with two degrees of freedom. Moscow Mathematical Journal. 2014;14(2):181-203. doi:10.17323/1609-4514-2014-14-2-181-203
[Preprint] View | DOI | arXiv
 
[26]
2014 | Journal Article | IST-REx-ID: 8500
Kaloshin V, Levi M, Saprykina M. Arnol′d diffusion in a pendulum lattice. Communications on Pure and Applied Mathematics. 2014;67(5):748-775. doi:10.1002/cpa.21509
View | DOI
 
[25]
2012 | Journal Article | IST-REx-ID: 8502
Kaloshin V, Saprykina M. An example of a nearly integrable Hamiltonian system with a trajectory dense in a set of maximal Hausdorff dimension. Communications in Mathematical Physics. 2012;315(3):643-697. doi:10.1007/s00220-012-1532-x
View | DOI
 
[24]
2012 | Journal Article | IST-REx-ID: 8504
Kaloshin V, KOZLOVSKI OS. A Cr unimodal map with an arbitrary fast growth of the number of periodic points. Ergodic Theory and Dynamical Systems. 2012;32(1):159-165. doi:10.1017/s0143385710000817
View | DOI
 
[23]
2012 | Journal Article | IST-REx-ID: 8503
Albouy A, Kaloshin V. Finiteness of central configurations of five bodies in the plane. Annals of Mathematics. 2012;176(1):535-588. doi:10.4007/annals.2012.176.1.10
View | DOI
 
[22]
2011 | Journal Article | IST-REx-ID: 8505
Galante J, Kaloshin V. Destruction of invariant curves in the restricted circular planar three-body problem by using comparison of action. Duke Mathematical Journal. 2011;159(2):275-327. doi:10.1215/00127094-1415878
View | DOI
 
[21]
2010 | Conference Paper | IST-REx-ID: 8507
Kaloshin V, ZHANG K, ZHENG Y. Almost dense orbit on energy surface. In: XVIth International Congress on Mathematical Physics. World Scientific; 2010:314-322. doi:10.1142/9789814304634_0017
View | DOI
 
[20]
2010 | Book Chapter | IST-REx-ID: 8506
Hunt BR, Kaloshin V. Prevalence. In: Handbook of Dynamical Systems. Vol 3. Elsevier; 2010:43-87. doi:10.1016/s1874-575x(10)00310-3
View | DOI
 
[19]
2009 | Journal Article | IST-REx-ID: 8508
Gorodetski A, Kaloshin V. Conservative homoclinic bifurcations and some applications. Proceedings of the Steklov Institute of Mathematics. 2009;267(1):76-90. doi:10.1134/s0081543809040063
View | DOI
 
[18]
2008 | Journal Article | IST-REx-ID: 8510
Kaloshin V, Levi M. An example of Arnold diffusion for near-integrable Hamiltonians. Bulletin of the American Mathematical Society. 2008;45(3):409-427. doi:10.1090/s0273-0979-08-01211-1
View | DOI
 
[17]
2008 | Journal Article | IST-REx-ID: 8509
Kaloshin V, Levi M. Geometry of Arnold diffusion. SIAM Review. 2008;50(4):702-720. doi:10.1137/070703235
View | DOI
 
[16]
2007 | Journal Article | IST-REx-ID: 8511
Gorodetski A, Kaloshin V. How often surface diffeomorphisms have infinitely many sinks and hyperbolicity of periodic points near a homoclinic tangency. Advances in Mathematics. 2007;208(2):710-797. doi:10.1016/j.aim.2006.03.012
View | DOI
 
[15]
2007 | Journal Article | IST-REx-ID: 8512
Kaloshin V, Hunt B. Stretched exponential estimates on growth of the number of periodic points for prevalent diffeomorphisms I. Annals of Mathematics. 2007;165(1):89-170. doi:10.4007/annals.2007.165.89
View | DOI
 
[14]
2006 | Journal Article | IST-REx-ID: 8514
OTT W, HUNT B, Kaloshin V. The effect of projections on fractal sets and measures in Banach spaces. Ergodic Theory and Dynamical Systems. 2006;26(3):869-891. doi:10.1017/s0143385705000714
View | DOI
 
[13]
2006 | Conference Paper | IST-REx-ID: 8515
Kaloshin V, DOLGOPYAT D, KORALOV L. Long time behaviour of periodic stochastic flows. In: XIVth International Congress on Mathematical Physics. World Scientific; 2006:290-295. doi:10.1142/9789812704016_0026
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[12]
2006 | Journal Article | IST-REx-ID: 8513
Kaloshin V, Saprykina M. Generic 3-dimensional volume-preserving diffeomorphisms with superexponential growth of number of periodic orbits. Discrete & Continuous Dynamical Systems - A. 2006;15(2):611-640. doi:10.3934/dcds.2006.15.611
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[11]
2005 | Journal Article | IST-REx-ID: 8516
Bourgain J, Kaloshin V. On diffusion in high-dimensional Hamiltonian systems. Journal of Functional Analysis. 2005;229(1):1-61. doi:10.1016/j.jfa.2004.09.006
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[10]
2004 | Journal Article | IST-REx-ID: 8517
Dolgopyat D, Kaloshin V, Koralov L. A limit shape theorem for periodic stochastic dispersion. Communications on Pure and Applied Mathematics. 2004;57(9):1127-1158. doi:10.1002/cpa.20032
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[9]
2004 | Journal Article | IST-REx-ID: 8518
Koralov L, Kaloshin V, Dolgopyat D. Sample path properties of the stochastic flows. The Annals of Probability. 2004;32(1A):1-27. doi:10.1214/aop/1078415827
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[8]
2003 | Journal Article | IST-REx-ID: 8519
Kaloshin V. The existential Hilbert 16-th problem and an estimate for cyclicity of elementary polycycles. Inventiones mathematicae. 2003;151(3):451-512. doi:10.1007/s00222-002-0244-9
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[7]
2001 | Journal Article | IST-REx-ID: 8522
Kaloshin V, Hunt BR. A stretched exponential bound on the rate of growth of the number of periodic points for prevalent diffeomorphisms I. Electronic Research Announcements of the American Mathematical Society. 2001;7(4):17-27. doi:10.1090/s1079-6762-01-00090-7
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[6]
2001 | Journal Article | IST-REx-ID: 8521
Kaloshin V, Hunt BR. A stretched exponential bound on the rate of growth of the number of periodic points for prevalent diffeomorphisms II. Electronic Research Announcements of the American Mathematical Society. 2001;7(5):28-36. doi:10.1090/s1079-6762-01-00091-9
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[5]
2001 | Journal Article | IST-REx-ID: 8524
Kaloshin V, Rodnianski I. Diophantine properties of elements of SO(3). Geometric And Functional Analysis. 2001;11(5):953-970. doi:10.1007/s00039-001-8222-8
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[4]
2000 | Journal Article | IST-REx-ID: 8525
Kaloshin V. Generic diffeomorphisms with superexponential growth of number of periodic orbits. Communications in Mathematical Physics. 2000;211:253-271. doi:10.1007/s002200050811
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[3]
1999 | Journal Article | IST-REx-ID: 8526
Kaloshin V. An extension of the Artin-Mazur theorem. The Annals of Mathematics. 1999;150(2):729-741. doi:10.2307/121093
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[2]
1997 | Journal Article | IST-REx-ID: 8528
Kaloshin V. Prevalence in the space of finitely smooth maps. Functional Analysis and Its Applications. 1997;31(2):95-99. doi:10.1007/bf02466014
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[1]
1997 | Journal Article | IST-REx-ID: 8527
Hunt BR, Kaloshin V. How projections affect the dimension spectrum of fractal measures. Nonlinearity. 1997;10(5):1031-1046. doi:10.1088/0951-7715/10/5/002
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