Vadim Kaloshin

Kaloshin Group

50 Publications

Mark all

[50]
2023 | 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. Springer Nature. https://doi.org/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, H. K. (2023). Length spectrum rigidity for piecewise analytic Bunimovich billiards. Communications in Mathematical Physics. Springer Nature. https://doi.org/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. (2022). On some invariants of Birkhoff billiards under conjugacy. Regular and Chaotic Dynamics. Springer Nature. https://doi.org/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. (2021). Non co-preservation of the 1/2 and  1/(2l+1)-rational caustics along deformations of circles.
[Submitted Version] View | Files available
 
[46]
2020 | 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., Vol. 208). Princeton University Press. https://doi.org/10.1515/9780691204932
View | DOI
 
[45]
2019 | 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. Springer Nature. https://doi.org/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. (2019). Asymptotic density of collision orbits in the Restricted Circular Planar 3 Body Problem. Archive for Rational Mechanics and Analysis. Springer Nature. https://doi.org/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. (2019). On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables. Moscow Mathematical Journal. American Mathematical Society. https://doi.org/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, T. M. (2018). Global instability in the restricted planar elliptic three body problem. Communications in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s00220-018-3248-z
View | DOI
 
[41]
2018 | 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. Springer Nature. https://doi.org/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. (2018). On the local Birkhoff conjecture for convex billiards. Annals of Mathematics. Annals of Mathematics, Princeton U. https://doi.org/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. (2018). On the integrability of Birkhoff billiards. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. The Royal Society. https://doi.org/10.1098/rsta.2017.0419
View | DOI
 
[38]
2018 | Journal Article | IST-REx-ID: 8420 | OA
Kaloshin, V., & Zhang, K. (2018). Density of convex billiards with rational caustics. Nonlinearity. IOP Publishing. https://doi.org/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. (2018). Nonisometric domains with the same Marvizi-Melrose invariants. Regular and Chaotic Dynamics. Springer Nature. https://doi.org/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. (2017). On the marked length spectrum of generic strictly convex billiard tables. Duke Mathematical Journal. Duke University Press. https://doi.org/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. (2017). Dynamical spectral rigidity among Z2-symmetric strictly convex domains close to a circle. Annals of Mathematics. Annals of Mathematics. https://doi.org/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. (2016). Kirkwood gaps and diffusion along mean motion resonances in the restricted planar three-body problem. Journal of the European Mathematical Society. European Mathematical Society Publishing House. https://doi.org/10.4171/jems/642
View | DOI
 
[33]
2016 | 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. Princeton University Press. https://doi.org/10.4007/annals.2016.184.2.5
View | DOI
 
[32]
2016 | 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. Springer Nature. https://doi.org/10.1007/s00220-016-2705-9
View | DOI
 
[31]
2016 | 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. Institut Mittag-Leffler. https://doi.org/10.1007/s11511-016-0141-5
View | DOI
 
[30]
2015 | 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. IOP Publishing. https://doi.org/10.1088/0951-7715/28/8/2699
View | DOI
 
[29]
2015 | 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. European Mathematical Society Publishing House. https://doi.org/10.4171/jems/499
View | DOI
 
[28]
2015 | 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. American Mathematical Society. https://doi.org/10.1090/proc/12796
View | DOI
 
[27]
2014 | 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. Independent University of Moscow. https://doi.org/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. (2014). Arnol′d diffusion in a pendulum lattice. Communications on Pure and Applied Mathematics. Wiley. https://doi.org/10.1002/cpa.21509
View | DOI
 
[25]
2012 | 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. Springer Nature. https://doi.org/10.1007/s00220-012-1532-x
View | DOI
 
[24]
2012 | Journal Article | IST-REx-ID: 8504
Kaloshin, V., & KOZLOVSKI, O. S. (2012). A Cr unimodal map with an arbitrary fast growth of the number of periodic points. Ergodic Theory and Dynamical Systems. Cambridge University Press. https://doi.org/10.1017/s0143385710000817
View | DOI
 
[23]
2012 | Journal Article | IST-REx-ID: 8503
Albouy, A., & Kaloshin, V. (2012). Finiteness of central configurations of five bodies in the plane. Annals of Mathematics. Princeton University Press. https://doi.org/10.4007/annals.2012.176.1.10
View | DOI
 
[22]
2011 | 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. Duke University Press. https://doi.org/10.1215/00127094-1415878
View | DOI
 
[21]
2010 | Conference Paper | IST-REx-ID: 8507
Kaloshin, V., ZHANG, K., & ZHENG, Y. (2010). Almost dense orbit on energy surface. In XVIth International Congress on Mathematical Physics (pp. 314–322). Prague, Czech Republic: World Scientific. https://doi.org/10.1142/9789814304634_0017
View | DOI
 
[20]
2010 | Book Chapter | IST-REx-ID: 8506
Hunt, B. R., & Kaloshin, V. (2010). Prevalence. In Handbook of Dynamical Systems (Vol. 3, pp. 43–87). Elsevier. https://doi.org/10.1016/s1874-575x(10)00310-3
View | DOI
 
[19]
2009 | Journal Article | IST-REx-ID: 8508
Gorodetski, A., & Kaloshin, V. (2009). Conservative homoclinic bifurcations and some applications. Proceedings of the Steklov Institute of Mathematics. Springer Nature. https://doi.org/10.1134/s0081543809040063
View | DOI
 
[18]
2008 | 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. American Mathematical Society. https://doi.org/10.1090/s0273-0979-08-01211-1
View | DOI
 
[17]
2008 | Journal Article | IST-REx-ID: 8509
Kaloshin, V., & Levi, M. (2008). Geometry of Arnold diffusion. SIAM Review. Society for Industrial & Applied Mathematics. https://doi.org/10.1137/070703235
View | DOI
 
[16]
2007 | 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. Elsevier. https://doi.org/10.1016/j.aim.2006.03.012
View | DOI
 
[15]
2007 | 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. Princeton University Press. https://doi.org/10.4007/annals.2007.165.89
View | DOI
 
[14]
2006 | 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. Cambridge University Press. https://doi.org/10.1017/s0143385705000714
View | DOI
 
[13]
2006 | Conference Paper | IST-REx-ID: 8515
Kaloshin, V., DOLGOPYAT, D., & KORALOV, L. (2006). Long time behaviour of periodic stochastic flows. In XIVth International Congress on Mathematical Physics (pp. 290–295). Lisbon, Portugal: World Scientific. https://doi.org/10.1142/9789812704016_0026
View | DOI
 
[12]
2006 | 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. American Institute of Mathematical Sciences (AIMS). https://doi.org/10.3934/dcds.2006.15.611
View | DOI
 
[11]
2005 | Journal Article | IST-REx-ID: 8516
Bourgain, J., & Kaloshin, V. (2005). On diffusion in high-dimensional Hamiltonian systems. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2004.09.006
View | DOI
 
[10]
2004 | 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. Wiley. https://doi.org/10.1002/cpa.20032
View | DOI
 
[9]
2004 | Journal Article | IST-REx-ID: 8518
Koralov, L., Kaloshin, V., & Dolgopyat, D. (2004). Sample path properties of the stochastic flows. The Annals of Probability. Institute of Mathematical Statistics. https://doi.org/10.1214/aop/1078415827
View | DOI
 
[8]
2003 | 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. Springer Nature. https://doi.org/10.1007/s00222-002-0244-9
View | DOI
 
[7]
2001 | Journal Article | IST-REx-ID: 8522
Kaloshin, V., & Hunt, B. R. (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. American Mathematical Society. https://doi.org/10.1090/s1079-6762-01-00090-7
View | DOI
 
[6]
2001 | Journal Article | IST-REx-ID: 8521
Kaloshin, V., & Hunt, B. R. (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. American Mathematical Society. https://doi.org/10.1090/s1079-6762-01-00091-9
View | DOI
 
[5]
2001 | Journal Article | IST-REx-ID: 8524
Kaloshin, V., & Rodnianski, I. (2001). Diophantine properties of elements of SO(3). Geometric And Functional Analysis. Springer Nature. https://doi.org/10.1007/s00039-001-8222-8
View | DOI
 
[4]
2000 | Journal Article | IST-REx-ID: 8525
Kaloshin, V. (2000). Generic diffeomorphisms with superexponential growth of number of periodic orbits. Communications in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s002200050811
View | DOI
 
[3]
1999 | Journal Article | IST-REx-ID: 8526
Kaloshin, V. (1999). An extension of the Artin-Mazur theorem. The Annals of Mathematics. JSTOR. https://doi.org/10.2307/121093
View | DOI
 
[2]
1997 | Journal Article | IST-REx-ID: 8528
Kaloshin, V. (1997). Prevalence in the space of finitely smooth maps. Functional Analysis and Its Applications. Springer Nature. https://doi.org/10.1007/bf02466014
View | DOI
 
[1]
1997 | Journal Article | IST-REx-ID: 8527
Hunt, B. R., & Kaloshin, V. (1997). How projections affect the dimension spectrum of fractal measures. Nonlinearity. IOP Publishing. https://doi.org/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. (2023). Marked Length Spectral determination of analytic chaotic billiards with axial symmetries. Inventiones Mathematicae. Springer Nature. https://doi.org/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, H. K. (2023). Length spectrum rigidity for piecewise analytic Bunimovich billiards. Communications in Mathematical Physics. Springer Nature. https://doi.org/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. (2022). On some invariants of Birkhoff billiards under conjugacy. Regular and Chaotic Dynamics. Springer Nature. https://doi.org/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. (2021). Non co-preservation of the 1/2 and  1/(2l+1)-rational caustics along deformations of circles.
[Submitted Version] View | Files available
 
[46]
2020 | 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., Vol. 208). Princeton University Press. https://doi.org/10.1515/9780691204932
View | DOI
 
[45]
2019 | 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. Springer Nature. https://doi.org/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. (2019). Asymptotic density of collision orbits in the Restricted Circular Planar 3 Body Problem. Archive for Rational Mechanics and Analysis. Springer Nature. https://doi.org/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. (2019). On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables. Moscow Mathematical Journal. American Mathematical Society. https://doi.org/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, T. M. (2018). Global instability in the restricted planar elliptic three body problem. Communications in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s00220-018-3248-z
View | DOI
 
[41]
2018 | 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. Springer Nature. https://doi.org/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. (2018). On the local Birkhoff conjecture for convex billiards. Annals of Mathematics. Annals of Mathematics, Princeton U. https://doi.org/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. (2018). On the integrability of Birkhoff billiards. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. The Royal Society. https://doi.org/10.1098/rsta.2017.0419
View | DOI
 
[38]
2018 | Journal Article | IST-REx-ID: 8420 | OA
Kaloshin, V., & Zhang, K. (2018). Density of convex billiards with rational caustics. Nonlinearity. IOP Publishing. https://doi.org/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. (2018). Nonisometric domains with the same Marvizi-Melrose invariants. Regular and Chaotic Dynamics. Springer Nature. https://doi.org/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. (2017). On the marked length spectrum of generic strictly convex billiard tables. Duke Mathematical Journal. Duke University Press. https://doi.org/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. (2017). Dynamical spectral rigidity among Z2-symmetric strictly convex domains close to a circle. Annals of Mathematics. Annals of Mathematics. https://doi.org/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. (2016). Kirkwood gaps and diffusion along mean motion resonances in the restricted planar three-body problem. Journal of the European Mathematical Society. European Mathematical Society Publishing House. https://doi.org/10.4171/jems/642
View | DOI
 
[33]
2016 | 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. Princeton University Press. https://doi.org/10.4007/annals.2016.184.2.5
View | DOI
 
[32]
2016 | 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. Springer Nature. https://doi.org/10.1007/s00220-016-2705-9
View | DOI
 
[31]
2016 | 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. Institut Mittag-Leffler. https://doi.org/10.1007/s11511-016-0141-5
View | DOI
 
[30]
2015 | 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. IOP Publishing. https://doi.org/10.1088/0951-7715/28/8/2699
View | DOI
 
[29]
2015 | 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. European Mathematical Society Publishing House. https://doi.org/10.4171/jems/499
View | DOI
 
[28]
2015 | 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. American Mathematical Society. https://doi.org/10.1090/proc/12796
View | DOI
 
[27]
2014 | 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. Independent University of Moscow. https://doi.org/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. (2014). Arnol′d diffusion in a pendulum lattice. Communications on Pure and Applied Mathematics. Wiley. https://doi.org/10.1002/cpa.21509
View | DOI
 
[25]
2012 | 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. Springer Nature. https://doi.org/10.1007/s00220-012-1532-x
View | DOI
 
[24]
2012 | Journal Article | IST-REx-ID: 8504
Kaloshin, V., & KOZLOVSKI, O. S. (2012). A Cr unimodal map with an arbitrary fast growth of the number of periodic points. Ergodic Theory and Dynamical Systems. Cambridge University Press. https://doi.org/10.1017/s0143385710000817
View | DOI
 
[23]
2012 | Journal Article | IST-REx-ID: 8503
Albouy, A., & Kaloshin, V. (2012). Finiteness of central configurations of five bodies in the plane. Annals of Mathematics. Princeton University Press. https://doi.org/10.4007/annals.2012.176.1.10
View | DOI
 
[22]
2011 | 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. Duke University Press. https://doi.org/10.1215/00127094-1415878
View | DOI
 
[21]
2010 | Conference Paper | IST-REx-ID: 8507
Kaloshin, V., ZHANG, K., & ZHENG, Y. (2010). Almost dense orbit on energy surface. In XVIth International Congress on Mathematical Physics (pp. 314–322). Prague, Czech Republic: World Scientific. https://doi.org/10.1142/9789814304634_0017
View | DOI
 
[20]
2010 | Book Chapter | IST-REx-ID: 8506
Hunt, B. R., & Kaloshin, V. (2010). Prevalence. In Handbook of Dynamical Systems (Vol. 3, pp. 43–87). Elsevier. https://doi.org/10.1016/s1874-575x(10)00310-3
View | DOI
 
[19]
2009 | Journal Article | IST-REx-ID: 8508
Gorodetski, A., & Kaloshin, V. (2009). Conservative homoclinic bifurcations and some applications. Proceedings of the Steklov Institute of Mathematics. Springer Nature. https://doi.org/10.1134/s0081543809040063
View | DOI
 
[18]
2008 | 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. American Mathematical Society. https://doi.org/10.1090/s0273-0979-08-01211-1
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[17]
2008 | Journal Article | IST-REx-ID: 8509
Kaloshin, V., & Levi, M. (2008). Geometry of Arnold diffusion. SIAM Review. Society for Industrial & Applied Mathematics. https://doi.org/10.1137/070703235
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[16]
2007 | 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. Elsevier. https://doi.org/10.1016/j.aim.2006.03.012
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[15]
2007 | 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. Princeton University Press. https://doi.org/10.4007/annals.2007.165.89
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[14]
2006 | 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. Cambridge University Press. https://doi.org/10.1017/s0143385705000714
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[13]
2006 | Conference Paper | IST-REx-ID: 8515
Kaloshin, V., DOLGOPYAT, D., & KORALOV, L. (2006). Long time behaviour of periodic stochastic flows. In XIVth International Congress on Mathematical Physics (pp. 290–295). Lisbon, Portugal: World Scientific. https://doi.org/10.1142/9789812704016_0026
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[12]
2006 | 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. American Institute of Mathematical Sciences (AIMS). https://doi.org/10.3934/dcds.2006.15.611
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[11]
2005 | Journal Article | IST-REx-ID: 8516
Bourgain, J., & Kaloshin, V. (2005). On diffusion in high-dimensional Hamiltonian systems. Journal of Functional Analysis. Elsevier. https://doi.org/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. (2004). A limit shape theorem for periodic stochastic dispersion. Communications on Pure and Applied Mathematics. Wiley. https://doi.org/10.1002/cpa.20032
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[9]
2004 | Journal Article | IST-REx-ID: 8518
Koralov, L., Kaloshin, V., & Dolgopyat, D. (2004). Sample path properties of the stochastic flows. The Annals of Probability. Institute of Mathematical Statistics. https://doi.org/10.1214/aop/1078415827
View | DOI
 
[8]
2003 | 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. Springer Nature. https://doi.org/10.1007/s00222-002-0244-9
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[7]
2001 | Journal Article | IST-REx-ID: 8522
Kaloshin, V., & Hunt, B. R. (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. American Mathematical Society. https://doi.org/10.1090/s1079-6762-01-00090-7
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[6]
2001 | Journal Article | IST-REx-ID: 8521
Kaloshin, V., & Hunt, B. R. (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. American Mathematical Society. https://doi.org/10.1090/s1079-6762-01-00091-9
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[5]
2001 | Journal Article | IST-REx-ID: 8524
Kaloshin, V., & Rodnianski, I. (2001). Diophantine properties of elements of SO(3). Geometric And Functional Analysis. Springer Nature. https://doi.org/10.1007/s00039-001-8222-8
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[4]
2000 | Journal Article | IST-REx-ID: 8525
Kaloshin, V. (2000). Generic diffeomorphisms with superexponential growth of number of periodic orbits. Communications in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s002200050811
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[3]
1999 | Journal Article | IST-REx-ID: 8526
Kaloshin, V. (1999). An extension of the Artin-Mazur theorem. The Annals of Mathematics. JSTOR. https://doi.org/10.2307/121093
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[2]
1997 | Journal Article | IST-REx-ID: 8528
Kaloshin, V. (1997). Prevalence in the space of finitely smooth maps. Functional Analysis and Its Applications. Springer Nature. https://doi.org/10.1007/bf02466014
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[1]
1997 | Journal Article | IST-REx-ID: 8527
Hunt, B. R., & Kaloshin, V. (1997). How projections affect the dimension spectrum of fractal measures. Nonlinearity. IOP Publishing. https://doi.org/10.1088/0951-7715/10/5/002
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