Vadim Kaloshin

53 Publications

Mark all

[53]
2024 | Published | Journal Article | IST-REx-ID: 18483 | OA
Kaloshin V, Koudjinan E, Zhang K. 2024. Birkhoff conjecture for nearly centrally symmetric domains. Geometric and Functional Analysis. 34, 1973–2007.
[Published Version] View | Files available | DOI | arXiv
 
[52]
2023 | Published | Journal Article | IST-REx-ID: 18959
Arnaud M-C, Hutchings M, Kaloshin V. 2023. Dynamische Systeme. Oberwolfach Reports. 20(3), 1671–1730.
View | DOI
 
[51]
2023 | Published | Journal Article | IST-REx-ID: 14427 | OA
Chen J, Kaloshin V, Zhang HK. 2023. Length spectrum rigidity for piecewise analytic Bunimovich billiards. Communications in Mathematical Physics. 404, 1–50.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[50]
2023 | Published | Journal Article | IST-REx-ID: 12877 | OA
De Simoi J, Kaloshin V, Leguil M. 2023. Marked Length Spectral determination of analytic chaotic billiards with axial symmetries. Inventiones Mathematicae. 233, 829–901.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[49]
2022 | Published | Journal Article | IST-REx-ID: 17063 | OA
Arnaud M-C, Hofer HW, Hutchings M, Kaloshin V. 2022. Dynamische Systeme. Oberwolfach Reports. 18(3), 1735–1803.
[Published Version] View | DOI | Download Published Version (ext.)
 
[48]
2022 | Published | Journal Article | IST-REx-ID: 12145 | OA
Koudjinan E, Kaloshin V. 2022. On some invariants of Birkhoff billiards under conjugacy. Regular and Chaotic Dynamics. 27(6), 525–537.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
[47]
2021 | Submitted | 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. arXiv, 2107.03499.
[Submitted Version] View | Files available | DOI | Download Submitted Version (ext.) | arXiv
 
[46]
2020 | Published | Book | IST-REx-ID: 8414
Kaloshin V, Zhang K. 2020. Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom 1st ed., Princeton University Press, 224p.
View | DOI
 
[45]
2019 | Published | Journal Article | IST-REx-ID: 8415 | OA
Bálint P, De Simoi J, Kaloshin V, Leguil M. 2019. Marked length spectrum, homoclinic orbits and the geometry of open dispersing billiards. Communications in Mathematical Physics. 374(3), 1531–1575.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[44]
2019 | Published | Journal Article | IST-REx-ID: 8416 | OA
Huang G, Kaloshin V. 2019. On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables. Moscow Mathematical Journal. 19(2), 307–327.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[43]
2019 | Published | Journal Article | IST-REx-ID: 8418 | OA
Guardia M, Kaloshin V, Zhang J. 2019. Asymptotic density of collision orbits in the Restricted Circular Planar 3 Body Problem. Archive for Rational Mechanics and Analysis. 233(2), 799–836.
[Published Version] View | DOI | Download Published Version (ext.)
 
[42]
2018 | Published | Journal Article | IST-REx-ID: 8417
Delshams A, Kaloshin V, de la Rosa A, Seara TM. 2018. Global instability in the restricted planar elliptic three body problem. Communications in Mathematical Physics. 366(3), 1173–1228.
View | DOI
 
[41]
2018 | Published | Journal Article | IST-REx-ID: 8419
Kaloshin V, Sorrentino A. 2018. On the integrability of Birkhoff billiards. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 376(2131), 20170419.
View | DOI
 
[40]
2018 | Published | Journal Article | IST-REx-ID: 8420 | OA
Kaloshin V, Zhang K. 2018. Density of convex billiards with rational caustics. Nonlinearity. 31(11), 5214–5234.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[39]
2018 | Published | Journal Article | IST-REx-ID: 8421 | OA
Kaloshin V, Sorrentino A. 2018. On the local Birkhoff conjecture for convex billiards. Annals of Mathematics. 188(1), 315–380.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[38]
2018 | Published | Journal Article | IST-REx-ID: 8422 | OA
Huang G, Kaloshin V, Sorrentino A. 2018. Nearly circular domains which are integrable close to the boundary are ellipses. Geometric and Functional Analysis. 28(2), 334–392.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[37]
2018 | Published | Journal Article | IST-REx-ID: 8426 | OA
Buhovsky L, Kaloshin V. 2018. Nonisometric domains with the same Marvizi-Melrose invariants. Regular and Chaotic Dynamics. 23, 54–59.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[36]
2017 | Published | Journal Article | IST-REx-ID: 8423 | OA
Huang G, Kaloshin V, Sorrentino A. 2017. On the marked length spectrum of generic strictly convex billiard tables. Duke Mathematical Journal. 167(1), 175–209.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[35]
2017 | Published | Journal Article | IST-REx-ID: 8427 | OA
De Simoi J, Kaloshin V, Wei Q. 2017. Dynamical spectral rigidity among Z2-symmetric strictly convex domains close to a circle. Annals of Mathematics. 186(1), 277–314.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[34]
2016 | Published | Journal Article | IST-REx-ID: 8493
Guardia M, Kaloshin V, Zhang J. 2016. A second order expansion of the separatrix map for trigonometric perturbations of a priori unstable systems. Communications in Mathematical Physics. 348, 321–361.
View | DOI
 
[33]
2016 | Published | Journal Article | IST-REx-ID: 8494
Bernard P, Kaloshin V, Zhang K. 2016. Arnold diffusion in arbitrary degrees of freedom and normally hyperbolic invariant cylinders. Acta Mathematica. 217(1), 1–79.
View | DOI
 
[32]
2016 | Published | Journal Article | IST-REx-ID: 8496
Avila A, De Simoi J, Kaloshin V. 2016. An integrable deformation of an ellipse of small eccentricity is an ellipse. Annals of Mathematics. 184(2), 527–558.
View | DOI
 
[31]
2016 | Published | Journal Article | IST-REx-ID: 8497
Féjoz J, Guàrdia M, Kaloshin V, Roldán P. 2016. Kirkwood gaps and diffusion along mean motion resonances in the restricted planar three-body problem. Journal of the European Mathematical Society. 18(10), 2315–2403.
View | DOI
 
[30]
2015 | Published | Journal Article | IST-REx-ID: 8495
Bounemoura A, Kaloshin V. 2015. A note on micro-instability for Hamiltonian systems close to integrable. Proceedings of the American Mathematical Society. 144(4), 1553–1560.
View | DOI
 
[29]
2015 | Published | Journal Article | IST-REx-ID: 8498
Kaloshin V, Zhang K. 2015. Arnold diffusion for smooth convex systems of two and a half degrees of freedom. Nonlinearity. 28(8), 2699–2720.
View | DOI
 
[28]
2015 | Published | Journal Article | IST-REx-ID: 8499
Guardia M, Kaloshin V. 2015. Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation. Journal of the European Mathematical Society. 17(1), 71–149.
View | DOI
 
[27]
2014 | Published | Journal Article | IST-REx-ID: 8500
Kaloshin V, Levi M, Saprykina M. 2014. Arnol′d diffusion in a pendulum lattice. Communications on Pure and Applied Mathematics. 67(5), 748–775.
View | DOI
 
[26]
2014 | Published | Journal Article | IST-REx-ID: 8501
Bounemoura A, Kaloshin V. 2014. Generic fast diffusion for a class of non-convex Hamiltonians with two degrees of freedom. Moscow Mathematical Journal. 14(2), 181–203.
[Preprint] View | DOI | arXiv
 
[25]
2012 | Published | Journal Article | IST-REx-ID: 8502
Kaloshin V, Saprykina M. 2012. An example of a nearly integrable Hamiltonian system with a trajectory dense in a set of maximal Hausdorff dimension. Communications in Mathematical Physics. 315(3), 643–697.
View | DOI
 
[24]
2012 | Published | Journal Article | IST-REx-ID: 8503
Albouy A, Kaloshin V. 2012. Finiteness of central configurations of five bodies in the plane. Annals of Mathematics. 176(1), 535–588.
View | DOI
 
[23]
2012 | Published | Journal Article | IST-REx-ID: 8504
Kaloshin V, KOZLOVSKI OS. 2012. A Cr unimodal map with an arbitrary fast growth of the number of periodic points. Ergodic Theory and Dynamical Systems. 32(1), 159–165.
View | DOI
 
[22]
2011 | Published | Journal Article | IST-REx-ID: 8505
Galante J, Kaloshin V. 2011. Destruction of invariant curves in the restricted circular planar three-body problem by using comparison of action. Duke Mathematical Journal. 159(2), 275–327.
View | DOI
 
[21]
2010 | Published | Book Chapter | IST-REx-ID: 8506
Hunt BR, Kaloshin V. 2010.Prevalence. In: Handbook of Dynamical Systems. vol. 3, 43–87.
View | DOI
 
[20]
2010 | Published | Conference Paper | IST-REx-ID: 8507
Kaloshin V, ZHANG K, ZHENG Y. 2010. Almost dense orbit on energy surface. XVIth International Congress on Mathematical Physics. International Congress on Mathematical Physics, 314–322.
View | DOI
 
[19]
2009 | Published | Journal Article | IST-REx-ID: 8508
Gorodetski A, Kaloshin V. 2009. Conservative homoclinic bifurcations and some applications. Proceedings of the Steklov Institute of Mathematics. 267(1), 76–90.
View | DOI
 
[18]
2008 | Published | Journal Article | IST-REx-ID: 8509
Kaloshin V, Levi M. 2008. Geometry of Arnold diffusion. SIAM Review. 50(4), 702–720.
View | DOI
 
[17]
2008 | Published | Journal Article | IST-REx-ID: 8510
Kaloshin V, Levi M. 2008. An example of Arnold diffusion for near-integrable Hamiltonians. Bulletin of the American Mathematical Society. 45(3), 409–427.
View | DOI
 
[16]
2007 | Published | Journal Article | IST-REx-ID: 8511
Gorodetski A, Kaloshin V. 2007. How often surface diffeomorphisms have infinitely many sinks and hyperbolicity of periodic points near a homoclinic tangency. Advances in Mathematics. 208(2), 710–797.
View | DOI
 
[15]
2007 | Published | Journal Article | IST-REx-ID: 8512
Kaloshin V, Hunt B. 2007. Stretched exponential estimates on growth of the number of periodic points for prevalent diffeomorphisms I. Annals of Mathematics. 165(1), 89–170.
View | DOI
 
[14]
2006 | Published | Journal Article | IST-REx-ID: 8513
Kaloshin V, Saprykina M. 2006. Generic 3-dimensional volume-preserving diffeomorphisms with superexponential growth of number of periodic orbits. Discrete & Continuous Dynamical Systems - A. 15(2), 611–640.
View | DOI
 
[13]
2006 | Published | Journal Article | IST-REx-ID: 8514
OTT W, HUNT B, Kaloshin V. 2006. The effect of projections on fractal sets and measures in Banach spaces. Ergodic Theory and Dynamical Systems. 26(3), 869–891.
View | DOI
 
[12]
2006 | Published | Conference Paper | IST-REx-ID: 8515
Kaloshin V, DOLGOPYAT D, KORALOV L. 2006. Long time behaviour of periodic stochastic flows. XIVth International Congress on Mathematical Physics. International Congress on Mathematical Physics, 290–295.
View | DOI
 
[11]
2005 | Published | Journal Article | IST-REx-ID: 8516
Bourgain J, Kaloshin V. 2005. On diffusion in high-dimensional Hamiltonian systems. Journal of Functional Analysis. 229(1), 1–61.
View | DOI
 
[10]
2004 | Published | Journal Article | IST-REx-ID: 8517
Dolgopyat D, Kaloshin V, Koralov L. 2004. A limit shape theorem for periodic stochastic dispersion. Communications on Pure and Applied Mathematics. 57(9), 1127–1158.
View | DOI
 
[9]
2004 | Published | Journal Article | IST-REx-ID: 8518
Koralov L, Kaloshin V, Dolgopyat D. 2004. Sample path properties of the stochastic flows. The Annals of Probability. 32(1A), 1–27.
View | DOI
 
[8]
2003 | Published | Journal Article | IST-REx-ID: 8519
Kaloshin V. 2003. The existential Hilbert 16-th problem and an estimate for cyclicity of elementary polycycles. Inventiones mathematicae. 151(3), 451–512.
View | DOI
 
[7]
2001 | Published | Journal Article | IST-REx-ID: 8521
Kaloshin V, Hunt BR. 2001. 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. 7(5), 28–36.
View | DOI
 
[6]
2001 | Published | Journal Article | IST-REx-ID: 8522
Kaloshin V, Hunt BR. 2001. 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. 7(4), 17–27.
View | DOI
 
[5]
2001 | Published | Journal Article | IST-REx-ID: 8524
Kaloshin V, Rodnianski I. 2001. Diophantine properties of elements of SO(3). Geometric And Functional Analysis. 11(5), 953–970.
View | DOI
 
[4]
2000 | Published | Journal Article | IST-REx-ID: 8525
Kaloshin V. 2000. Generic diffeomorphisms with superexponential growth of number of periodic orbits. Communications in Mathematical Physics. 211, 253–271.
View | DOI
 
[3]
1999 | Published | Journal Article | IST-REx-ID: 8526
Kaloshin V. 1999. An extension of the Artin-Mazur theorem. The Annals of Mathematics. 150(2), 729–741.
View | DOI
 
[2]
1997 | Published | Journal Article | IST-REx-ID: 8527
Hunt BR, Kaloshin V. 1997. How projections affect the dimension spectrum of fractal measures. Nonlinearity. 10(5), 1031–1046.
View | DOI
 
[1]
1997 | Published | Journal Article | IST-REx-ID: 8528
Kaloshin V. 1997. Prevalence in the space of finitely smooth maps. Functional Analysis and Its Applications. 31(2), 95–99.
View | DOI
 
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53 Publications

Mark all

[53]
2024 | Published | Journal Article | IST-REx-ID: 18483 | OA
Kaloshin V, Koudjinan E, Zhang K. 2024. Birkhoff conjecture for nearly centrally symmetric domains. Geometric and Functional Analysis. 34, 1973–2007.
[Published Version] View | Files available | DOI | arXiv
 
[52]
2023 | Published | Journal Article | IST-REx-ID: 18959
Arnaud M-C, Hutchings M, Kaloshin V. 2023. Dynamische Systeme. Oberwolfach Reports. 20(3), 1671–1730.
View | DOI
 
[51]
2023 | Published | Journal Article | IST-REx-ID: 14427 | OA
Chen J, Kaloshin V, Zhang HK. 2023. Length spectrum rigidity for piecewise analytic Bunimovich billiards. Communications in Mathematical Physics. 404, 1–50.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[50]
2023 | Published | Journal Article | IST-REx-ID: 12877 | OA
De Simoi J, Kaloshin V, Leguil M. 2023. Marked Length Spectral determination of analytic chaotic billiards with axial symmetries. Inventiones Mathematicae. 233, 829–901.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[49]
2022 | Published | Journal Article | IST-REx-ID: 17063 | OA
Arnaud M-C, Hofer HW, Hutchings M, Kaloshin V. 2022. Dynamische Systeme. Oberwolfach Reports. 18(3), 1735–1803.
[Published Version] View | DOI | Download Published Version (ext.)
 
[48]
2022 | Published | Journal Article | IST-REx-ID: 12145 | OA
Koudjinan E, Kaloshin V. 2022. On some invariants of Birkhoff billiards under conjugacy. Regular and Chaotic Dynamics. 27(6), 525–537.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
[47]
2021 | Submitted | 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. arXiv, 2107.03499.
[Submitted Version] View | Files available | DOI | Download Submitted Version (ext.) | arXiv
 
[46]
2020 | Published | Book | IST-REx-ID: 8414
Kaloshin V, Zhang K. 2020. Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom 1st ed., Princeton University Press, 224p.
View | DOI
 
[45]
2019 | Published | Journal Article | IST-REx-ID: 8415 | OA
Bálint P, De Simoi J, Kaloshin V, Leguil M. 2019. Marked length spectrum, homoclinic orbits and the geometry of open dispersing billiards. Communications in Mathematical Physics. 374(3), 1531–1575.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[44]
2019 | Published | Journal Article | IST-REx-ID: 8416 | OA
Huang G, Kaloshin V. 2019. On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables. Moscow Mathematical Journal. 19(2), 307–327.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[43]
2019 | Published | Journal Article | IST-REx-ID: 8418 | OA
Guardia M, Kaloshin V, Zhang J. 2019. Asymptotic density of collision orbits in the Restricted Circular Planar 3 Body Problem. Archive for Rational Mechanics and Analysis. 233(2), 799–836.
[Published Version] View | DOI | Download Published Version (ext.)
 
[42]
2018 | Published | Journal Article | IST-REx-ID: 8417
Delshams A, Kaloshin V, de la Rosa A, Seara TM. 2018. Global instability in the restricted planar elliptic three body problem. Communications in Mathematical Physics. 366(3), 1173–1228.
View | DOI
 
[41]
2018 | Published | Journal Article | IST-REx-ID: 8419
Kaloshin V, Sorrentino A. 2018. On the integrability of Birkhoff billiards. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 376(2131), 20170419.
View | DOI
 
[40]
2018 | Published | Journal Article | IST-REx-ID: 8420 | OA
Kaloshin V, Zhang K. 2018. Density of convex billiards with rational caustics. Nonlinearity. 31(11), 5214–5234.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[39]
2018 | Published | Journal Article | IST-REx-ID: 8421 | OA
Kaloshin V, Sorrentino A. 2018. On the local Birkhoff conjecture for convex billiards. Annals of Mathematics. 188(1), 315–380.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[38]
2018 | Published | Journal Article | IST-REx-ID: 8422 | OA
Huang G, Kaloshin V, Sorrentino A. 2018. Nearly circular domains which are integrable close to the boundary are ellipses. Geometric and Functional Analysis. 28(2), 334–392.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[37]
2018 | Published | Journal Article | IST-REx-ID: 8426 | OA
Buhovsky L, Kaloshin V. 2018. Nonisometric domains with the same Marvizi-Melrose invariants. Regular and Chaotic Dynamics. 23, 54–59.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[36]
2017 | Published | Journal Article | IST-REx-ID: 8423 | OA
Huang G, Kaloshin V, Sorrentino A. 2017. On the marked length spectrum of generic strictly convex billiard tables. Duke Mathematical Journal. 167(1), 175–209.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[35]
2017 | Published | Journal Article | IST-REx-ID: 8427 | OA
De Simoi J, Kaloshin V, Wei Q. 2017. Dynamical spectral rigidity among Z2-symmetric strictly convex domains close to a circle. Annals of Mathematics. 186(1), 277–314.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[34]
2016 | Published | Journal Article | IST-REx-ID: 8493
Guardia M, Kaloshin V, Zhang J. 2016. A second order expansion of the separatrix map for trigonometric perturbations of a priori unstable systems. Communications in Mathematical Physics. 348, 321–361.
View | DOI
 
[33]
2016 | Published | Journal Article | IST-REx-ID: 8494
Bernard P, Kaloshin V, Zhang K. 2016. Arnold diffusion in arbitrary degrees of freedom and normally hyperbolic invariant cylinders. Acta Mathematica. 217(1), 1–79.
View | DOI
 
[32]
2016 | Published | Journal Article | IST-REx-ID: 8496
Avila A, De Simoi J, Kaloshin V. 2016. An integrable deformation of an ellipse of small eccentricity is an ellipse. Annals of Mathematics. 184(2), 527–558.
View | DOI
 
[31]
2016 | Published | Journal Article | IST-REx-ID: 8497
Féjoz J, Guàrdia M, Kaloshin V, Roldán P. 2016. Kirkwood gaps and diffusion along mean motion resonances in the restricted planar three-body problem. Journal of the European Mathematical Society. 18(10), 2315–2403.
View | DOI
 
[30]
2015 | Published | Journal Article | IST-REx-ID: 8495
Bounemoura A, Kaloshin V. 2015. A note on micro-instability for Hamiltonian systems close to integrable. Proceedings of the American Mathematical Society. 144(4), 1553–1560.
View | DOI
 
[29]
2015 | Published | Journal Article | IST-REx-ID: 8498
Kaloshin V, Zhang K. 2015. Arnold diffusion for smooth convex systems of two and a half degrees of freedom. Nonlinearity. 28(8), 2699–2720.
View | DOI
 
[28]
2015 | Published | Journal Article | IST-REx-ID: 8499
Guardia M, Kaloshin V. 2015. Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation. Journal of the European Mathematical Society. 17(1), 71–149.
View | DOI
 
[27]
2014 | Published | Journal Article | IST-REx-ID: 8500
Kaloshin V, Levi M, Saprykina M. 2014. Arnol′d diffusion in a pendulum lattice. Communications on Pure and Applied Mathematics. 67(5), 748–775.
View | DOI
 
[26]
2014 | Published | Journal Article | IST-REx-ID: 8501
Bounemoura A, Kaloshin V. 2014. Generic fast diffusion for a class of non-convex Hamiltonians with two degrees of freedom. Moscow Mathematical Journal. 14(2), 181–203.
[Preprint] View | DOI | arXiv
 
[25]
2012 | Published | Journal Article | IST-REx-ID: 8502
Kaloshin V, Saprykina M. 2012. An example of a nearly integrable Hamiltonian system with a trajectory dense in a set of maximal Hausdorff dimension. Communications in Mathematical Physics. 315(3), 643–697.
View | DOI
 
[24]
2012 | Published | Journal Article | IST-REx-ID: 8503
Albouy A, Kaloshin V. 2012. Finiteness of central configurations of five bodies in the plane. Annals of Mathematics. 176(1), 535–588.
View | DOI
 
[23]
2012 | Published | Journal Article | IST-REx-ID: 8504
Kaloshin V, KOZLOVSKI OS. 2012. A Cr unimodal map with an arbitrary fast growth of the number of periodic points. Ergodic Theory and Dynamical Systems. 32(1), 159–165.
View | DOI
 
[22]
2011 | Published | Journal Article | IST-REx-ID: 8505
Galante J, Kaloshin V. 2011. Destruction of invariant curves in the restricted circular planar three-body problem by using comparison of action. Duke Mathematical Journal. 159(2), 275–327.
View | DOI
 
[21]
2010 | Published | Book Chapter | IST-REx-ID: 8506
Hunt BR, Kaloshin V. 2010.Prevalence. In: Handbook of Dynamical Systems. vol. 3, 43–87.
View | DOI
 
[20]
2010 | Published | Conference Paper | IST-REx-ID: 8507
Kaloshin V, ZHANG K, ZHENG Y. 2010. Almost dense orbit on energy surface. XVIth International Congress on Mathematical Physics. International Congress on Mathematical Physics, 314–322.
View | DOI
 
[19]
2009 | Published | Journal Article | IST-REx-ID: 8508
Gorodetski A, Kaloshin V. 2009. Conservative homoclinic bifurcations and some applications. Proceedings of the Steklov Institute of Mathematics. 267(1), 76–90.
View | DOI
 
[18]
2008 | Published | Journal Article | IST-REx-ID: 8509
Kaloshin V, Levi M. 2008. Geometry of Arnold diffusion. SIAM Review. 50(4), 702–720.
View | DOI
 
[17]
2008 | Published | Journal Article | IST-REx-ID: 8510
Kaloshin V, Levi M. 2008. An example of Arnold diffusion for near-integrable Hamiltonians. Bulletin of the American Mathematical Society. 45(3), 409–427.
View | DOI
 
[16]
2007 | Published | Journal Article | IST-REx-ID: 8511
Gorodetski A, Kaloshin V. 2007. How often surface diffeomorphisms have infinitely many sinks and hyperbolicity of periodic points near a homoclinic tangency. Advances in Mathematics. 208(2), 710–797.
View | DOI
 
[15]
2007 | Published | Journal Article | IST-REx-ID: 8512
Kaloshin V, Hunt B. 2007. Stretched exponential estimates on growth of the number of periodic points for prevalent diffeomorphisms I. Annals of Mathematics. 165(1), 89–170.
View | DOI
 
[14]
2006 | Published | Journal Article | IST-REx-ID: 8513
Kaloshin V, Saprykina M. 2006. Generic 3-dimensional volume-preserving diffeomorphisms with superexponential growth of number of periodic orbits. Discrete & Continuous Dynamical Systems - A. 15(2), 611–640.
View | DOI
 
[13]
2006 | Published | Journal Article | IST-REx-ID: 8514
OTT W, HUNT B, Kaloshin V. 2006. The effect of projections on fractal sets and measures in Banach spaces. Ergodic Theory and Dynamical Systems. 26(3), 869–891.
View | DOI
 
[12]
2006 | Published | Conference Paper | IST-REx-ID: 8515
Kaloshin V, DOLGOPYAT D, KORALOV L. 2006. Long time behaviour of periodic stochastic flows. XIVth International Congress on Mathematical Physics. International Congress on Mathematical Physics, 290–295.
View | DOI
 
[11]
2005 | Published | Journal Article | IST-REx-ID: 8516
Bourgain J, Kaloshin V. 2005. On diffusion in high-dimensional Hamiltonian systems. Journal of Functional Analysis. 229(1), 1–61.
View | DOI
 
[10]
2004 | Published | Journal Article | IST-REx-ID: 8517
Dolgopyat D, Kaloshin V, Koralov L. 2004. A limit shape theorem for periodic stochastic dispersion. Communications on Pure and Applied Mathematics. 57(9), 1127–1158.
View | DOI
 
[9]
2004 | Published | Journal Article | IST-REx-ID: 8518
Koralov L, Kaloshin V, Dolgopyat D. 2004. Sample path properties of the stochastic flows. The Annals of Probability. 32(1A), 1–27.
View | DOI
 
[8]
2003 | Published | Journal Article | IST-REx-ID: 8519
Kaloshin V. 2003. The existential Hilbert 16-th problem and an estimate for cyclicity of elementary polycycles. Inventiones mathematicae. 151(3), 451–512.
View | DOI
 
[7]
2001 | Published | Journal Article | IST-REx-ID: 8521
Kaloshin V, Hunt BR. 2001. 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. 7(5), 28–36.
View | DOI
 
[6]
2001 | Published | Journal Article | IST-REx-ID: 8522
Kaloshin V, Hunt BR. 2001. 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. 7(4), 17–27.
View | DOI
 
[5]
2001 | Published | Journal Article | IST-REx-ID: 8524
Kaloshin V, Rodnianski I. 2001. Diophantine properties of elements of SO(3). Geometric And Functional Analysis. 11(5), 953–970.
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[4]
2000 | Published | Journal Article | IST-REx-ID: 8525
Kaloshin V. 2000. Generic diffeomorphisms with superexponential growth of number of periodic orbits. Communications in Mathematical Physics. 211, 253–271.
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[3]
1999 | Published | Journal Article | IST-REx-ID: 8526
Kaloshin V. 1999. An extension of the Artin-Mazur theorem. The Annals of Mathematics. 150(2), 729–741.
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[2]
1997 | Published | Journal Article | IST-REx-ID: 8527
Hunt BR, Kaloshin V. 1997. How projections affect the dimension spectrum of fractal measures. Nonlinearity. 10(5), 1031–1046.
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[1]
1997 | Published | Journal Article | IST-REx-ID: 8528
Kaloshin V. 1997. Prevalence in the space of finitely smooth maps. Functional Analysis and Its Applications. 31(2), 95–99.
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