Vadim Kaloshin

Kaloshin Group

50 Publications

Mark all

[50]
2023 | Journal Article | IST-REx-ID: 12877 | OA
J. De Simoi, V. Kaloshin, and M. Leguil, “Marked Length Spectral determination of analytic chaotic billiards with axial symmetries,” Inventiones Mathematicae, vol. 233. Springer Nature, pp. 829–901, 2023.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[49]
2023 | Journal Article | IST-REx-ID: 14427 | OA
J. Chen, V. Kaloshin, and H. K. Zhang, “Length spectrum rigidity for piecewise analytic Bunimovich billiards,” Communications in Mathematical Physics. Springer Nature, 2023.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[48]
2022 | Journal Article | IST-REx-ID: 12145 | OA
E. Koudjinan and V. Kaloshin, “On some invariants of Birkhoff billiards under conjugacy,” Regular and Chaotic Dynamics, vol. 27, no. 6. Springer Nature, pp. 525–537, 2022.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
[47]
2021 | Preprint | IST-REx-ID: 9435 | OA
V. Kaloshin and E. Koudjinan, “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
V. Kaloshin and K. Zhang, Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom, 1st ed., vol. 208. Princeton University Press, 2020.
View | DOI
 
[45]
2019 | Journal Article | IST-REx-ID: 8415 | OA
P. Bálint, J. De Simoi, V. Kaloshin, and M. Leguil, “Marked length spectrum, homoclinic orbits and the geometry of open dispersing billiards,” Communications in Mathematical Physics, vol. 374, no. 3. Springer Nature, pp. 1531–1575, 2019.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[44]
2019 | Journal Article | IST-REx-ID: 8418 | OA
M. Guardia, V. Kaloshin, and J. Zhang, “Asymptotic density of collision orbits in the Restricted Circular Planar 3 Body Problem,” Archive for Rational Mechanics and Analysis, vol. 233, no. 2. Springer Nature, pp. 799–836, 2019.
[Published Version] View | DOI | Download Published Version (ext.)
 
[43]
2019 | Journal Article | IST-REx-ID: 8416 | OA
G. Huang and V. Kaloshin, “On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables,” Moscow Mathematical Journal, vol. 19, no. 2. American Mathematical Society, pp. 307–327, 2019.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[42]
2018 | Journal Article | IST-REx-ID: 8417
A. Delshams, V. Kaloshin, A. de la Rosa, and T. M. Seara, “Global instability in the restricted planar elliptic three body problem,” Communications in Mathematical Physics, vol. 366, no. 3. Springer Nature, pp. 1173–1228, 2018.
View | DOI
 
[41]
2018 | Journal Article | IST-REx-ID: 8422 | OA
G. Huang, V. Kaloshin, and A. Sorrentino, “Nearly circular domains which are integrable close to the boundary are ellipses,” Geometric and Functional Analysis, vol. 28, no. 2. Springer Nature, pp. 334–392, 2018.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[40]
2018 | Journal Article | IST-REx-ID: 8421 | OA
V. Kaloshin and A. Sorrentino, “On the local Birkhoff conjecture for convex billiards,” Annals of Mathematics, vol. 188, no. 1. Annals of Mathematics, Princeton U, pp. 315–380, 2018.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[39]
2018 | Journal Article | IST-REx-ID: 8419
V. Kaloshin and A. Sorrentino, “On the integrability of Birkhoff billiards,” Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 376, no. 2131. The Royal Society, 2018.
View | DOI
 
[38]
2018 | Journal Article | IST-REx-ID: 8420 | OA
V. Kaloshin and K. Zhang, “Density of convex billiards with rational caustics,” Nonlinearity, vol. 31, no. 11. IOP Publishing, pp. 5214–5234, 2018.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[37]
2018 | Journal Article | IST-REx-ID: 8426 | OA
L. Buhovsky and V. Kaloshin, “Nonisometric domains with the same Marvizi-Melrose invariants,” Regular and Chaotic Dynamics, vol. 23. Springer Nature, pp. 54–59, 2018.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[36]
2017 | Journal Article | IST-REx-ID: 8423 | OA
G. Huang, V. Kaloshin, and A. Sorrentino, “On the marked length spectrum of generic strictly convex billiard tables,” Duke Mathematical Journal, vol. 167, no. 1. Duke University Press, pp. 175–209, 2017.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[35]
2017 | Journal Article | IST-REx-ID: 8427 | OA
J. De Simoi, V. Kaloshin, and Q. Wei, “Dynamical spectral rigidity among Z2-symmetric strictly convex domains close to a circle,” Annals of Mathematics, vol. 186, no. 1. Annals of Mathematics, pp. 277–314, 2017.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[34]
2016 | Journal Article | IST-REx-ID: 8497
J. Féjoz, M. Guàrdia, V. Kaloshin, and P. Roldán, “Kirkwood gaps and diffusion along mean motion resonances in the restricted planar three-body problem,” Journal of the European Mathematical Society, vol. 18, no. 10. European Mathematical Society Publishing House, pp. 2315–2403, 2016.
View | DOI
 
[33]
2016 | Journal Article | IST-REx-ID: 8496
A. Avila, J. De Simoi, and V. Kaloshin, “An integrable deformation of an ellipse of small eccentricity is an ellipse,” Annals of Mathematics, vol. 184, no. 2. Princeton University Press, pp. 527–558, 2016.
View | DOI
 
[32]
2016 | Journal Article | IST-REx-ID: 8493
M. Guardia, V. Kaloshin, and J. Zhang, “A second order expansion of the separatrix map for trigonometric perturbations of a priori unstable systems,” Communications in Mathematical Physics, vol. 348. Springer Nature, pp. 321–361, 2016.
View | DOI
 
[31]
2016 | Journal Article | IST-REx-ID: 8494
P. Bernard, V. Kaloshin, and K. Zhang, “Arnold diffusion in arbitrary degrees of freedom and normally hyperbolic invariant cylinders,” Acta Mathematica, vol. 217, no. 1. Institut Mittag-Leffler, pp. 1–79, 2016.
View | DOI
 
[30]
2015 | Journal Article | IST-REx-ID: 8498
V. Kaloshin and K. Zhang, “Arnold diffusion for smooth convex systems of two and a half degrees of freedom,” Nonlinearity, vol. 28, no. 8. IOP Publishing, pp. 2699–2720, 2015.
View | DOI
 
[29]
2015 | Journal Article | IST-REx-ID: 8499
M. Guardia and V. Kaloshin, “Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation,” Journal of the European Mathematical Society, vol. 17, no. 1. European Mathematical Society Publishing House, pp. 71–149, 2015.
View | DOI
 
[28]
2015 | Journal Article | IST-REx-ID: 8495
A. Bounemoura and V. Kaloshin, “A note on micro-instability for Hamiltonian systems close to integrable,” Proceedings of the American Mathematical Society, vol. 144, no. 4. American Mathematical Society, pp. 1553–1560, 2015.
View | DOI
 
[27]
2014 | Journal Article | IST-REx-ID: 8501
A. Bounemoura and V. Kaloshin, “Generic fast diffusion for a class of non-convex Hamiltonians with two degrees of freedom,” Moscow Mathematical Journal, vol. 14, no. 2. Independent University of Moscow, pp. 181–203, 2014.
[Preprint] View | DOI | arXiv
 
[26]
2014 | Journal Article | IST-REx-ID: 8500
V. Kaloshin, M. Levi, and M. Saprykina, “Arnol′d diffusion in a pendulum lattice,” Communications on Pure and Applied Mathematics, vol. 67, no. 5. Wiley, pp. 748–775, 2014.
View | DOI
 
[25]
2012 | Journal Article | IST-REx-ID: 8502
V. Kaloshin and M. Saprykina, “An example of a nearly integrable Hamiltonian system with a trajectory dense in a set of maximal Hausdorff dimension,” Communications in Mathematical Physics, vol. 315, no. 3. Springer Nature, pp. 643–697, 2012.
View | DOI
 
[24]
2012 | Journal Article | IST-REx-ID: 8504
V. Kaloshin and O. S. KOZLOVSKI, “A Cr unimodal map with an arbitrary fast growth of the number of periodic points,” Ergodic Theory and Dynamical Systems, vol. 32, no. 1. Cambridge University Press, pp. 159–165, 2012.
View | DOI
 
[23]
2012 | Journal Article | IST-REx-ID: 8503
A. Albouy and V. Kaloshin, “Finiteness of central configurations of five bodies in the plane,” Annals of Mathematics, vol. 176, no. 1. Princeton University Press, pp. 535–588, 2012.
View | DOI
 
[22]
2011 | Journal Article | IST-REx-ID: 8505
J. Galante and V. Kaloshin, “Destruction of invariant curves in the restricted circular planar three-body problem by using comparison of action,” Duke Mathematical Journal, vol. 159, no. 2. Duke University Press, pp. 275–327, 2011.
View | DOI
 
[21]
2010 | Conference Paper | IST-REx-ID: 8507
V. Kaloshin, K. ZHANG, and Y. ZHENG, “Almost dense orbit on energy surface,” in XVIth International Congress on Mathematical Physics, Prague, Czech Republic, 2010, pp. 314–322.
View | DOI
 
[20]
2010 | Book Chapter | IST-REx-ID: 8506
B. R. Hunt and V. Kaloshin, “Prevalence,” in Handbook of Dynamical Systems, vol. 3, Elsevier, 2010, pp. 43–87.
View | DOI
 
[19]
2009 | Journal Article | IST-REx-ID: 8508
A. Gorodetski and V. Kaloshin, “Conservative homoclinic bifurcations and some applications,” Proceedings of the Steklov Institute of Mathematics, vol. 267, no. 1. Springer Nature, pp. 76–90, 2009.
View | DOI
 
[18]
2008 | Journal Article | IST-REx-ID: 8510
V. Kaloshin and M. Levi, “An example of Arnold diffusion for near-integrable Hamiltonians,” Bulletin of the American Mathematical Society, vol. 45, no. 3. American Mathematical Society, pp. 409–427, 2008.
View | DOI
 
[17]
2008 | Journal Article | IST-REx-ID: 8509
V. Kaloshin and M. Levi, “Geometry of Arnold diffusion,” SIAM Review, vol. 50, no. 4. Society for Industrial & Applied Mathematics, pp. 702–720, 2008.
View | DOI
 
[16]
2007 | Journal Article | IST-REx-ID: 8511
A. Gorodetski and V. Kaloshin, “How often surface diffeomorphisms have infinitely many sinks and hyperbolicity of periodic points near a homoclinic tangency,” Advances in Mathematics, vol. 208, no. 2. Elsevier, pp. 710–797, 2007.
View | DOI
 
[15]
2007 | Journal Article | IST-REx-ID: 8512
V. Kaloshin and B. Hunt, “Stretched exponential estimates on growth of the number of periodic points for prevalent diffeomorphisms I,” Annals of Mathematics, vol. 165, no. 1. Princeton University Press, pp. 89–170, 2007.
View | DOI
 
[14]
2006 | Journal Article | IST-REx-ID: 8514
W. OTT, B. HUNT, and V. Kaloshin, “The effect of projections on fractal sets and measures in Banach spaces,” Ergodic Theory and Dynamical Systems, vol. 26, no. 3. Cambridge University Press, pp. 869–891, 2006.
View | DOI
 
[13]
2006 | Conference Paper | IST-REx-ID: 8515
V. Kaloshin, D. DOLGOPYAT, and L. KORALOV, “Long time behaviour of periodic stochastic flows,” in XIVth International Congress on Mathematical Physics, Lisbon, Portugal, 2006, pp. 290–295.
View | DOI
 
[12]
2006 | Journal Article | IST-REx-ID: 8513
V. Kaloshin and M. Saprykina, “Generic 3-dimensional volume-preserving diffeomorphisms with superexponential growth of number of periodic orbits,” Discrete & Continuous Dynamical Systems - A, vol. 15, no. 2. American Institute of Mathematical Sciences (AIMS), pp. 611–640, 2006.
View | DOI
 
[11]
2005 | Journal Article | IST-REx-ID: 8516
J. Bourgain and V. Kaloshin, “On diffusion in high-dimensional Hamiltonian systems,” Journal of Functional Analysis, vol. 229, no. 1. Elsevier, pp. 1–61, 2005.
View | DOI
 
[10]
2004 | Journal Article | IST-REx-ID: 8517
D. Dolgopyat, V. Kaloshin, and L. Koralov, “A limit shape theorem for periodic stochastic dispersion,” Communications on Pure and Applied Mathematics, vol. 57, no. 9. Wiley, pp. 1127–1158, 2004.
View | DOI
 
[9]
2004 | Journal Article | IST-REx-ID: 8518
L. Koralov, V. Kaloshin, and D. Dolgopyat, “Sample path properties of the stochastic flows,” The Annals of Probability, vol. 32, no. 1A. Institute of Mathematical Statistics, pp. 1–27, 2004.
View | DOI
 
[8]
2003 | Journal Article | IST-REx-ID: 8519
V. Kaloshin, “The existential Hilbert 16-th problem and an estimate for cyclicity of elementary polycycles,” Inventiones mathematicae, vol. 151, no. 3. Springer Nature, pp. 451–512, 2003.
View | DOI
 
[7]
2001 | Journal Article | IST-REx-ID: 8522
V. Kaloshin and B. R. Hunt, “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, vol. 7, no. 4. American Mathematical Society, pp. 17–27, 2001.
View | DOI
 
[6]
2001 | Journal Article | IST-REx-ID: 8521
V. Kaloshin and B. R. Hunt, “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, vol. 7, no. 5. American Mathematical Society, pp. 28–36, 2001.
View | DOI
 
[5]
2001 | Journal Article | IST-REx-ID: 8524
V. Kaloshin and I. Rodnianski, “Diophantine properties of elements of SO(3),” Geometric And Functional Analysis, vol. 11, no. 5. Springer Nature, pp. 953–970, 2001.
View | DOI
 
[4]
2000 | Journal Article | IST-REx-ID: 8525
V. Kaloshin, “Generic diffeomorphisms with superexponential growth of number of periodic orbits,” Communications in Mathematical Physics, vol. 211. Springer Nature, pp. 253–271, 2000.
View | DOI
 
[3]
1999 | Journal Article | IST-REx-ID: 8526
V. Kaloshin, “An extension of the Artin-Mazur theorem,” The Annals of Mathematics, vol. 150, no. 2. JSTOR, pp. 729–741, 1999.
View | DOI
 
[2]
1997 | Journal Article | IST-REx-ID: 8528
V. Kaloshin, “Prevalence in the space of finitely smooth maps,” Functional Analysis and Its Applications, vol. 31, no. 2. Springer Nature, pp. 95–99, 1997.
View | DOI
 
[1]
1997 | Journal Article | IST-REx-ID: 8527
B. R. Hunt and V. Kaloshin, “How projections affect the dimension spectrum of fractal measures,” Nonlinearity, vol. 10, no. 5. IOP Publishing, pp. 1031–1046, 1997.
View | DOI
 
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50 Publications

Mark all

[50]
2023 | Journal Article | IST-REx-ID: 12877 | OA
J. De Simoi, V. Kaloshin, and M. Leguil, “Marked Length Spectral determination of analytic chaotic billiards with axial symmetries,” Inventiones Mathematicae, vol. 233. Springer Nature, pp. 829–901, 2023.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[49]
2023 | Journal Article | IST-REx-ID: 14427 | OA
J. Chen, V. Kaloshin, and H. K. Zhang, “Length spectrum rigidity for piecewise analytic Bunimovich billiards,” Communications in Mathematical Physics. Springer Nature, 2023.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[48]
2022 | Journal Article | IST-REx-ID: 12145 | OA
E. Koudjinan and V. Kaloshin, “On some invariants of Birkhoff billiards under conjugacy,” Regular and Chaotic Dynamics, vol. 27, no. 6. Springer Nature, pp. 525–537, 2022.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
[47]
2021 | Preprint | IST-REx-ID: 9435 | OA
V. Kaloshin and E. Koudjinan, “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
V. Kaloshin and K. Zhang, Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom, 1st ed., vol. 208. Princeton University Press, 2020.
View | DOI
 
[45]
2019 | Journal Article | IST-REx-ID: 8415 | OA
P. Bálint, J. De Simoi, V. Kaloshin, and M. Leguil, “Marked length spectrum, homoclinic orbits and the geometry of open dispersing billiards,” Communications in Mathematical Physics, vol. 374, no. 3. Springer Nature, pp. 1531–1575, 2019.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[44]
2019 | Journal Article | IST-REx-ID: 8418 | OA
M. Guardia, V. Kaloshin, and J. Zhang, “Asymptotic density of collision orbits in the Restricted Circular Planar 3 Body Problem,” Archive for Rational Mechanics and Analysis, vol. 233, no. 2. Springer Nature, pp. 799–836, 2019.
[Published Version] View | DOI | Download Published Version (ext.)
 
[43]
2019 | Journal Article | IST-REx-ID: 8416 | OA
G. Huang and V. Kaloshin, “On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables,” Moscow Mathematical Journal, vol. 19, no. 2. American Mathematical Society, pp. 307–327, 2019.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[42]
2018 | Journal Article | IST-REx-ID: 8417
A. Delshams, V. Kaloshin, A. de la Rosa, and T. M. Seara, “Global instability in the restricted planar elliptic three body problem,” Communications in Mathematical Physics, vol. 366, no. 3. Springer Nature, pp. 1173–1228, 2018.
View | DOI
 
[41]
2018 | Journal Article | IST-REx-ID: 8422 | OA
G. Huang, V. Kaloshin, and A. Sorrentino, “Nearly circular domains which are integrable close to the boundary are ellipses,” Geometric and Functional Analysis, vol. 28, no. 2. Springer Nature, pp. 334–392, 2018.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[40]
2018 | Journal Article | IST-REx-ID: 8421 | OA
V. Kaloshin and A. Sorrentino, “On the local Birkhoff conjecture for convex billiards,” Annals of Mathematics, vol. 188, no. 1. Annals of Mathematics, Princeton U, pp. 315–380, 2018.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[39]
2018 | Journal Article | IST-REx-ID: 8419
V. Kaloshin and A. Sorrentino, “On the integrability of Birkhoff billiards,” Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 376, no. 2131. The Royal Society, 2018.
View | DOI
 
[38]
2018 | Journal Article | IST-REx-ID: 8420 | OA
V. Kaloshin and K. Zhang, “Density of convex billiards with rational caustics,” Nonlinearity, vol. 31, no. 11. IOP Publishing, pp. 5214–5234, 2018.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[37]
2018 | Journal Article | IST-REx-ID: 8426 | OA
L. Buhovsky and V. Kaloshin, “Nonisometric domains with the same Marvizi-Melrose invariants,” Regular and Chaotic Dynamics, vol. 23. Springer Nature, pp. 54–59, 2018.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[36]
2017 | Journal Article | IST-REx-ID: 8423 | OA
G. Huang, V. Kaloshin, and A. Sorrentino, “On the marked length spectrum of generic strictly convex billiard tables,” Duke Mathematical Journal, vol. 167, no. 1. Duke University Press, pp. 175–209, 2017.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[35]
2017 | Journal Article | IST-REx-ID: 8427 | OA
J. De Simoi, V. Kaloshin, and Q. Wei, “Dynamical spectral rigidity among Z2-symmetric strictly convex domains close to a circle,” Annals of Mathematics, vol. 186, no. 1. Annals of Mathematics, pp. 277–314, 2017.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[34]
2016 | Journal Article | IST-REx-ID: 8497
J. Féjoz, M. Guàrdia, V. Kaloshin, and P. Roldán, “Kirkwood gaps and diffusion along mean motion resonances in the restricted planar three-body problem,” Journal of the European Mathematical Society, vol. 18, no. 10. European Mathematical Society Publishing House, pp. 2315–2403, 2016.
View | DOI
 
[33]
2016 | Journal Article | IST-REx-ID: 8496
A. Avila, J. De Simoi, and V. Kaloshin, “An integrable deformation of an ellipse of small eccentricity is an ellipse,” Annals of Mathematics, vol. 184, no. 2. Princeton University Press, pp. 527–558, 2016.
View | DOI
 
[32]
2016 | Journal Article | IST-REx-ID: 8493
M. Guardia, V. Kaloshin, and J. Zhang, “A second order expansion of the separatrix map for trigonometric perturbations of a priori unstable systems,” Communications in Mathematical Physics, vol. 348. Springer Nature, pp. 321–361, 2016.
View | DOI
 
[31]
2016 | Journal Article | IST-REx-ID: 8494
P. Bernard, V. Kaloshin, and K. Zhang, “Arnold diffusion in arbitrary degrees of freedom and normally hyperbolic invariant cylinders,” Acta Mathematica, vol. 217, no. 1. Institut Mittag-Leffler, pp. 1–79, 2016.
View | DOI
 
[30]
2015 | Journal Article | IST-REx-ID: 8498
V. Kaloshin and K. Zhang, “Arnold diffusion for smooth convex systems of two and a half degrees of freedom,” Nonlinearity, vol. 28, no. 8. IOP Publishing, pp. 2699–2720, 2015.
View | DOI
 
[29]
2015 | Journal Article | IST-REx-ID: 8499
M. Guardia and V. Kaloshin, “Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation,” Journal of the European Mathematical Society, vol. 17, no. 1. European Mathematical Society Publishing House, pp. 71–149, 2015.
View | DOI
 
[28]
2015 | Journal Article | IST-REx-ID: 8495
A. Bounemoura and V. Kaloshin, “A note on micro-instability for Hamiltonian systems close to integrable,” Proceedings of the American Mathematical Society, vol. 144, no. 4. American Mathematical Society, pp. 1553–1560, 2015.
View | DOI
 
[27]
2014 | Journal Article | IST-REx-ID: 8501
A. Bounemoura and V. Kaloshin, “Generic fast diffusion for a class of non-convex Hamiltonians with two degrees of freedom,” Moscow Mathematical Journal, vol. 14, no. 2. Independent University of Moscow, pp. 181–203, 2014.
[Preprint] View | DOI | arXiv
 
[26]
2014 | Journal Article | IST-REx-ID: 8500
V. Kaloshin, M. Levi, and M. Saprykina, “Arnol′d diffusion in a pendulum lattice,” Communications on Pure and Applied Mathematics, vol. 67, no. 5. Wiley, pp. 748–775, 2014.
View | DOI
 
[25]
2012 | Journal Article | IST-REx-ID: 8502
V. Kaloshin and M. Saprykina, “An example of a nearly integrable Hamiltonian system with a trajectory dense in a set of maximal Hausdorff dimension,” Communications in Mathematical Physics, vol. 315, no. 3. Springer Nature, pp. 643–697, 2012.
View | DOI
 
[24]
2012 | Journal Article | IST-REx-ID: 8504
V. Kaloshin and O. S. KOZLOVSKI, “A Cr unimodal map with an arbitrary fast growth of the number of periodic points,” Ergodic Theory and Dynamical Systems, vol. 32, no. 1. Cambridge University Press, pp. 159–165, 2012.
View | DOI
 
[23]
2012 | Journal Article | IST-REx-ID: 8503
A. Albouy and V. Kaloshin, “Finiteness of central configurations of five bodies in the plane,” Annals of Mathematics, vol. 176, no. 1. Princeton University Press, pp. 535–588, 2012.
View | DOI
 
[22]
2011 | Journal Article | IST-REx-ID: 8505
J. Galante and V. Kaloshin, “Destruction of invariant curves in the restricted circular planar three-body problem by using comparison of action,” Duke Mathematical Journal, vol. 159, no. 2. Duke University Press, pp. 275–327, 2011.
View | DOI
 
[21]
2010 | Conference Paper | IST-REx-ID: 8507
V. Kaloshin, K. ZHANG, and Y. ZHENG, “Almost dense orbit on energy surface,” in XVIth International Congress on Mathematical Physics, Prague, Czech Republic, 2010, pp. 314–322.
View | DOI
 
[20]
2010 | Book Chapter | IST-REx-ID: 8506
B. R. Hunt and V. Kaloshin, “Prevalence,” in Handbook of Dynamical Systems, vol. 3, Elsevier, 2010, pp. 43–87.
View | DOI
 
[19]
2009 | Journal Article | IST-REx-ID: 8508
A. Gorodetski and V. Kaloshin, “Conservative homoclinic bifurcations and some applications,” Proceedings of the Steklov Institute of Mathematics, vol. 267, no. 1. Springer Nature, pp. 76–90, 2009.
View | DOI
 
[18]
2008 | Journal Article | IST-REx-ID: 8510
V. Kaloshin and M. Levi, “An example of Arnold diffusion for near-integrable Hamiltonians,” Bulletin of the American Mathematical Society, vol. 45, no. 3. American Mathematical Society, pp. 409–427, 2008.
View | DOI
 
[17]
2008 | Journal Article | IST-REx-ID: 8509
V. Kaloshin and M. Levi, “Geometry of Arnold diffusion,” SIAM Review, vol. 50, no. 4. Society for Industrial & Applied Mathematics, pp. 702–720, 2008.
View | DOI
 
[16]
2007 | Journal Article | IST-REx-ID: 8511
A. Gorodetski and V. Kaloshin, “How often surface diffeomorphisms have infinitely many sinks and hyperbolicity of periodic points near a homoclinic tangency,” Advances in Mathematics, vol. 208, no. 2. Elsevier, pp. 710–797, 2007.
View | DOI
 
[15]
2007 | Journal Article | IST-REx-ID: 8512
V. Kaloshin and B. Hunt, “Stretched exponential estimates on growth of the number of periodic points for prevalent diffeomorphisms I,” Annals of Mathematics, vol. 165, no. 1. Princeton University Press, pp. 89–170, 2007.
View | DOI
 
[14]
2006 | Journal Article | IST-REx-ID: 8514
W. OTT, B. HUNT, and V. Kaloshin, “The effect of projections on fractal sets and measures in Banach spaces,” Ergodic Theory and Dynamical Systems, vol. 26, no. 3. Cambridge University Press, pp. 869–891, 2006.
View | DOI
 
[13]
2006 | Conference Paper | IST-REx-ID: 8515
V. Kaloshin, D. DOLGOPYAT, and L. KORALOV, “Long time behaviour of periodic stochastic flows,” in XIVth International Congress on Mathematical Physics, Lisbon, Portugal, 2006, pp. 290–295.
View | DOI
 
[12]
2006 | Journal Article | IST-REx-ID: 8513
V. Kaloshin and M. Saprykina, “Generic 3-dimensional volume-preserving diffeomorphisms with superexponential growth of number of periodic orbits,” Discrete & Continuous Dynamical Systems - A, vol. 15, no. 2. American Institute of Mathematical Sciences (AIMS), pp. 611–640, 2006.
View | DOI
 
[11]
2005 | Journal Article | IST-REx-ID: 8516
J. Bourgain and V. Kaloshin, “On diffusion in high-dimensional Hamiltonian systems,” Journal of Functional Analysis, vol. 229, no. 1. Elsevier, pp. 1–61, 2005.
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[10]
2004 | Journal Article | IST-REx-ID: 8517
D. Dolgopyat, V. Kaloshin, and L. Koralov, “A limit shape theorem for periodic stochastic dispersion,” Communications on Pure and Applied Mathematics, vol. 57, no. 9. Wiley, pp. 1127–1158, 2004.
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[9]
2004 | Journal Article | IST-REx-ID: 8518
L. Koralov, V. Kaloshin, and D. Dolgopyat, “Sample path properties of the stochastic flows,” The Annals of Probability, vol. 32, no. 1A. Institute of Mathematical Statistics, pp. 1–27, 2004.
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[8]
2003 | Journal Article | IST-REx-ID: 8519
V. Kaloshin, “The existential Hilbert 16-th problem and an estimate for cyclicity of elementary polycycles,” Inventiones mathematicae, vol. 151, no. 3. Springer Nature, pp. 451–512, 2003.
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[7]
2001 | Journal Article | IST-REx-ID: 8522
V. Kaloshin and B. R. Hunt, “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, vol. 7, no. 4. American Mathematical Society, pp. 17–27, 2001.
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[6]
2001 | Journal Article | IST-REx-ID: 8521
V. Kaloshin and B. R. Hunt, “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, vol. 7, no. 5. American Mathematical Society, pp. 28–36, 2001.
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[5]
2001 | Journal Article | IST-REx-ID: 8524
V. Kaloshin and I. Rodnianski, “Diophantine properties of elements of SO(3),” Geometric And Functional Analysis, vol. 11, no. 5. Springer Nature, pp. 953–970, 2001.
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[4]
2000 | Journal Article | IST-REx-ID: 8525
V. Kaloshin, “Generic diffeomorphisms with superexponential growth of number of periodic orbits,” Communications in Mathematical Physics, vol. 211. Springer Nature, pp. 253–271, 2000.
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[3]
1999 | Journal Article | IST-REx-ID: 8526
V. Kaloshin, “An extension of the Artin-Mazur theorem,” The Annals of Mathematics, vol. 150, no. 2. JSTOR, pp. 729–741, 1999.
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[2]
1997 | Journal Article | IST-REx-ID: 8528
V. Kaloshin, “Prevalence in the space of finitely smooth maps,” Functional Analysis and Its Applications, vol. 31, no. 2. Springer Nature, pp. 95–99, 1997.
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[1]
1997 | Journal Article | IST-REx-ID: 8527
B. R. Hunt and V. Kaloshin, “How projections affect the dimension spectrum of fractal measures,” Nonlinearity, vol. 10, no. 5. IOP Publishing, pp. 1031–1046, 1997.
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