46 Publications

Mark all

[46]
2020 | Book | IST-REx-ID: 8414
Kaloshin, Vadim, and Ke Zhang. Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom. 1st ed. Vol. 208. AMS. Princeton University Press, 2020.
View
 
[45]
2019 | Journal Article | IST-REx-ID: 8415 | OA
Bálint, Péter, Jacopo De Simoi, Vadim Kaloshin, and Martin Leguil. “Marked Length Spectrum, Homoclinic Orbits and the Geometry of Open Dispersing Billiards.” Communications in Mathematical Physics. Springer Nature, 2019. https://doi.org/10.1007/s00220-019-03448-x.
View | DOI | Download Preprint (ext.) | arXiv
 
[44]
2019 | Journal Article | IST-REx-ID: 8416 | OA
Huang, Guan, and Vadim Kaloshin. “On the Finite Dimensionality of Integrable Deformations of Strictly Convex Integrable Billiard Tables.” Moscow Mathematical Journal. American Mathematical Society, 2019. https://doi.org/10.17323/1609-4514-2019-19-2-307-327.
View | DOI | Download Preprint (ext.) | arXiv
 
[43]
2019 | Journal Article | IST-REx-ID: 8418 | OA
Guardia, Marcel, Vadim Kaloshin, and Jianlu Zhang. “Asymptotic Density of Collision Orbits in the Restricted Circular Planar 3 Body Problem.” Archive for Rational Mechanics and Analysis. Springer Nature, 2019. https://doi.org/10.1007/s00205-019-01368-7.
View | DOI | Download Published Version (ext.)
 
[42]
2018 | Journal Article | IST-REx-ID: 8417
Delshams, Amadeu, Vadim Kaloshin, Abraham de la Rosa, and Tere M. Seara. “Global Instability in the Restricted Planar Elliptic Three Body Problem.” Communications in Mathematical Physics. Springer Nature, 2018. https://doi.org/10.1007/s00220-018-3248-z.
View | DOI
 
[41]
2018 | Journal Article | IST-REx-ID: 8419
Kaloshin, Vadim, and Alfonso Sorrentino. “On the Integrability of Birkhoff Billiards.” Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. The Royal Society, 2018. https://doi.org/10.1098/rsta.2017.0419.
View | DOI
 
[40]
2018 | Journal Article | IST-REx-ID: 8420 | OA
Kaloshin, Vadim, and Ke Zhang. “Density of Convex Billiards with Rational Caustics.” Nonlinearity. IOP Publishing, 2018. https://doi.org/10.1088/1361-6544/aadc12.
View | DOI | Download Preprint (ext.) | arXiv
 
[39]
2018 | Journal Article | IST-REx-ID: 8421 | OA
Kaloshin, Vadim, and Alfonso Sorrentino. “On the Local Birkhoff Conjecture for Convex Billiards.” Annals of Mathematics. Annals of Mathematics, Princeton U, 2018. https://doi.org/10.4007/annals.2018.188.1.6.
View | DOI | Download Preprint (ext.) | arXiv
 
[38]
2018 | Journal Article | IST-REx-ID: 8422 | OA
Huang, Guan, Vadim Kaloshin, and Alfonso Sorrentino. “Nearly Circular Domains Which Are Integrable Close to the Boundary Are Ellipses.” Geometric and Functional Analysis. Springer Nature, 2018. https://doi.org/10.1007/s00039-018-0440-4.
View | DOI | Download Preprint (ext.) | arXiv
 
[37]
2018 | Journal Article | IST-REx-ID: 8426 | OA
Buhovsky, Lev, and Vadim Kaloshin. “Nonisometric Domains with the Same Marvizi-Melrose Invariants.” Regular and Chaotic Dynamics. Springer Nature, 2018. https://doi.org/10.1134/s1560354718010057.
View | DOI | Download Preprint (ext.) | arXiv
 
[36]
2017 | Journal Article | IST-REx-ID: 8423 | OA
Huang, Guan, Vadim Kaloshin, and Alfonso Sorrentino. “On the Marked Length Spectrum of Generic Strictly Convex Billiard Tables.” Duke Mathematical Journal. Duke University Press, 2017. https://doi.org/10.1215/00127094-2017-0038.
View | DOI | Download Preprint (ext.) | arXiv
 
[35]
2017 | Journal Article | IST-REx-ID: 8427 | OA
De Simoi, Jacopo, Vadim Kaloshin, and Qiaoling Wei. “Dynamical Spectral Rigidity among Z2-Symmetric Strictly Convex Domains Close to a Circle.” Annals of Mathematics. Annals of Mathematics, 2017. https://doi.org/10.4007/annals.2017.186.1.7.
View | DOI | Download Preprint (ext.) | arXiv
 
[34]
2016 | Journal Article | IST-REx-ID: 8493
Guardia, M., Vadim Kaloshin, and J. Zhang. “A Second Order Expansion of the Separatrix Map for Trigonometric Perturbations of a Priori Unstable Systems.” Communications in Mathematical Physics. Springer Nature, 2016. https://doi.org/10.1007/s00220-016-2705-9.
View | DOI
 
[33]
2016 | Journal Article | IST-REx-ID: 8494
Bernard, Patrick, Vadim Kaloshin, and Ke Zhang. “Arnold Diffusion in Arbitrary Degrees of Freedom and Normally Hyperbolic Invariant Cylinders.” Acta Mathematica. Institut Mittag-Leffler, 2016. https://doi.org/10.1007/s11511-016-0141-5.
View | DOI
 
[32]
2016 | Journal Article | IST-REx-ID: 8496
Avila, Artur, Jacopo De Simoi, and Vadim Kaloshin. “An Integrable Deformation of an Ellipse of Small Eccentricity Is an Ellipse.” Annals of Mathematics. Princeton University Press, 2016. https://doi.org/10.4007/annals.2016.184.2.5.
View | DOI
 
[31]
2016 | Journal Article | IST-REx-ID: 8497
Féjoz, Jacques, Marcel Guàrdia, Vadim Kaloshin, and Pablo Roldán. “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, 2016. https://doi.org/10.4171/jems/642.
View | DOI
 
[30]
2015 | Journal Article | IST-REx-ID: 8495
Bounemoura, Abed, and Vadim Kaloshin. “A Note on Micro-Instability for Hamiltonian Systems Close to Integrable.” Proceedings of the American Mathematical Society. American Mathematical Society, 2015. https://doi.org/10.1090/proc/12796.
View | DOI
 
[29]
2015 | Journal Article | IST-REx-ID: 8498
Kaloshin, Vadim, and K Zhang. “Arnold Diffusion for Smooth Convex Systems of Two and a Half Degrees of Freedom.” Nonlinearity. IOP Publishing, 2015. https://doi.org/10.1088/0951-7715/28/8/2699.
View | DOI
 
[28]
2015 | Journal Article | IST-REx-ID: 8499
Guardia, Marcel, and Vadim Kaloshin. “Growth of Sobolev Norms in the Cubic Defocusing Nonlinear Schrödinger Equation.” Journal of the European Mathematical Society. European Mathematical Society Publishing House, 2015. https://doi.org/10.4171/jems/499.
View | DOI
 
[27]
2014 | Journal Article | IST-REx-ID: 8500
Kaloshin, Vadim, Mark Levi, and Maria Saprykina. “Arnol′d Diffusion in a Pendulum Lattice.” Communications on Pure and Applied Mathematics. Wiley, 2014. https://doi.org/10.1002/cpa.21509.
View | DOI
 
[26]
2014 | Journal Article | IST-REx-ID: 8501
Bounemoura, Abed, and Vadim Kaloshin. “Generic Fast Diffusion for a Class of Non-Convex Hamiltonians with Two Degrees of Freedom.” Moscow Mathematical Journal. Independent University of Moscow, 2014. https://doi.org/10.17323/1609-4514-2014-14-2-181-203.
View | DOI | arXiv
 
[25]
2012 | Journal Article | IST-REx-ID: 8502
Kaloshin, Vadim, and Maria Saprykina. “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, 2012. https://doi.org/10.1007/s00220-012-1532-x.
View | DOI
 
[24]
2012 | Journal Article | IST-REx-ID: 8503
Albouy, Alain, and Vadim Kaloshin. “Finiteness of Central Configurations of Five Bodies in the Plane.” Annals of Mathematics. Princeton University Press, 2012. https://doi.org/10.4007/annals.2012.176.1.10.
View | DOI
 
[23]
2012 | Journal Article | IST-REx-ID: 8504
Kaloshin, Vadim, and O. S. KOZLOVSKI. “A Cr Unimodal Map with an Arbitrary Fast Growth of the Number of Periodic Points.” Ergodic Theory and Dynamical Systems. Cambridge University Press, 2012. https://doi.org/10.1017/s0143385710000817.
View | DOI
 
[22]
2011 | Journal Article | IST-REx-ID: 8505
Galante, Joseph, and Vadim Kaloshin. “Destruction of Invariant Curves in the Restricted Circular Planar Three-Body Problem by Using Comparison of Action.” Duke Mathematical Journal. Duke University Press, 2011. https://doi.org/10.1215/00127094-1415878.
View | DOI
 
[21]
2010 | Book Chapter | IST-REx-ID: 8506
Hunt, Brian R., and Vadim Kaloshin. “Prevalence.” In Handbook of Dynamical Systems, 3:43–87. Elsevier, 2010. https://doi.org/10.1016/s1874-575x(10)00310-3.
View | DOI
 
[20]
2010 | Conference Paper | IST-REx-ID: 8507
Kaloshin, Vadim, KE ZHANG, and YONG ZHENG. “Almost Dense Orbit on Energy Surface.” In XVIth International Congress on Mathematical Physics, 314–22. World Scientific, 2010. https://doi.org/10.1142/9789814304634_0017.
View | DOI
 
[19]
2009 | Journal Article | IST-REx-ID: 8508
Gorodetski, Anton, and Vadim Kaloshin. “Conservative Homoclinic Bifurcations and Some Applications.” Proceedings of the Steklov Institute of Mathematics. Springer Nature, 2009. https://doi.org/10.1134/s0081543809040063.
View | DOI
 
[18]
2008 | Journal Article | IST-REx-ID: 8509
Kaloshin, Vadim, and Mark Levi. “Geometry of Arnold Diffusion.” SIAM Review. Society for Industrial & Applied Mathematics, 2008. https://doi.org/10.1137/070703235.
View | DOI
 
[17]
2008 | Journal Article | IST-REx-ID: 8510
Kaloshin, Vadim, and Mark Levi. “An Example of Arnold Diffusion for Near-Integrable Hamiltonians.” Bulletin of the American Mathematical Society. American Mathematical Society, 2008. https://doi.org/10.1090/s0273-0979-08-01211-1.
View | DOI
 
[16]
2007 | Journal Article | IST-REx-ID: 8511
Gorodetski, A., and Vadim Kaloshin. “How Often Surface Diffeomorphisms Have Infinitely Many Sinks and Hyperbolicity of Periodic Points near a Homoclinic Tangency.” Advances in Mathematics. Elsevier, 2007. https://doi.org/10.1016/j.aim.2006.03.012.
View | DOI
 
[15]
2007 | Journal Article | IST-REx-ID: 8512
Kaloshin, Vadim, and Brian Hunt. “Stretched Exponential Estimates on Growth of the Number of Periodic Points for Prevalent Diffeomorphisms I.” Annals of Mathematics. Princeton University Press, 2007. https://doi.org/10.4007/annals.2007.165.89.
View | DOI
 
[14]
2006 | Journal Article | IST-REx-ID: 8513
Kaloshin, Vadim, and Maria Saprykina. “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), 2006. https://doi.org/10.3934/dcds.2006.15.611.
View | DOI
 
[13]
2006 | Journal Article | IST-REx-ID: 8514
OTT, WILLIAM, BRIAN HUNT, and Vadim Kaloshin. “The Effect of Projections on Fractal Sets and Measures in Banach Spaces.” Ergodic Theory and Dynamical Systems. Cambridge University Press, 2006. https://doi.org/10.1017/s0143385705000714.
View | DOI
 
[12]
2006 | Conference Paper | IST-REx-ID: 8515
Kaloshin, Vadim, D. DOLGOPYAT, and L. KORALOV. “Long Time Behaviour of Periodic Stochastic Flows.” In XIVth International Congress on Mathematical Physics, 290–95. World Scientific, 2006. https://doi.org/10.1142/9789812704016_0026.
View | DOI
 
[11]
2005 | Journal Article | IST-REx-ID: 8516
Bourgain, Jean, and Vadim Kaloshin. “On Diffusion in High-Dimensional Hamiltonian Systems.” Journal of Functional Analysis. Elsevier, 2005. https://doi.org/10.1016/j.jfa.2004.09.006.
View | DOI
 
[10]
2004 | Journal Article | IST-REx-ID: 8517
Dolgopyat, Dmitry, Vadim Kaloshin, and Leonid Koralov. “A Limit Shape Theorem for Periodic Stochastic Dispersion.” Communications on Pure and Applied Mathematics. Wiley, 2004. https://doi.org/10.1002/cpa.20032.
View | DOI
 
[9]
2004 | Journal Article | IST-REx-ID: 8518
Koralov, Leonid, Vadim Kaloshin, and Dmitry Dolgopyat. “Sample Path Properties of the Stochastic Flows.” The Annals of Probability. Institute of Mathematical Statistics, 2004. https://doi.org/10.1214/aop/1078415827.
View | DOI
 
[8]
2003 | Journal Article | IST-REx-ID: 8519
Kaloshin, Vadim. “The Existential Hilbert 16-Th Problem and an Estimate for Cyclicity of Elementary Polycycles.” Inventiones Mathematicae. Springer Nature, 2003. https://doi.org/10.1007/s00222-002-0244-9.
View | DOI
 
[7]
2001 | Journal Article | IST-REx-ID: 8521
Kaloshin, Vadim, and Brian 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. American Mathematical Society, 2001. https://doi.org/10.1090/s1079-6762-01-00091-9.
View | DOI
 
[6]
2001 | Journal Article | IST-REx-ID: 8522
Kaloshin, Vadim, and Brian 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. American Mathematical Society, 2001. https://doi.org/10.1090/s1079-6762-01-00090-7.
View | DOI
 
[5]
2001 | Journal Article | IST-REx-ID: 8524
Kaloshin, Vadim, and I. Rodnianski. “Diophantine Properties of Elements of SO(3).” Geometric And Functional Analysis. Springer Nature, 2001. https://doi.org/10.1007/s00039-001-8222-8.
View | DOI
 
[4]
2000 | Journal Article | IST-REx-ID: 8525
Kaloshin, Vadim. “Generic Diffeomorphisms with Superexponential Growth of Number of Periodic Orbits.” Communications in Mathematical Physics. Springer Nature, 2000. https://doi.org/10.1007/s002200050811.
View | DOI
 
[3]
1999 | Journal Article | IST-REx-ID: 8526
Kaloshin, Vadim. “An Extension of the Artin-Mazur Theorem.” The Annals of Mathematics. JSTOR, 1999. https://doi.org/10.2307/121093.
View | DOI
 
[2]
1997 | Journal Article | IST-REx-ID: 8527
Hunt, Brian R, and Vadim Kaloshin. “How Projections Affect the Dimension Spectrum of Fractal Measures.” Nonlinearity. IOP Publishing, 1997. https://doi.org/10.1088/0951-7715/10/5/002.
View | DOI
 
[1]
1997 | Journal Article | IST-REx-ID: 8528
Kaloshin, Vadim. “Prevalence in the Space of Finitely Smooth Maps.” Functional Analysis and Its Applications. Springer Nature, 1997. https://doi.org/10.1007/bf02466014.
View | DOI
 

Search

Filter Publications

46 Publications

Mark all

[46]
2020 | Book | IST-REx-ID: 8414
Kaloshin, Vadim, and Ke Zhang. Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom. 1st ed. Vol. 208. AMS. Princeton University Press, 2020.
View
 
[45]
2019 | Journal Article | IST-REx-ID: 8415 | OA
Bálint, Péter, Jacopo De Simoi, Vadim Kaloshin, and Martin Leguil. “Marked Length Spectrum, Homoclinic Orbits and the Geometry of Open Dispersing Billiards.” Communications in Mathematical Physics. Springer Nature, 2019. https://doi.org/10.1007/s00220-019-03448-x.
View | DOI | Download Preprint (ext.) | arXiv
 
[44]
2019 | Journal Article | IST-REx-ID: 8416 | OA
Huang, Guan, and Vadim Kaloshin. “On the Finite Dimensionality of Integrable Deformations of Strictly Convex Integrable Billiard Tables.” Moscow Mathematical Journal. American Mathematical Society, 2019. https://doi.org/10.17323/1609-4514-2019-19-2-307-327.
View | DOI | Download Preprint (ext.) | arXiv
 
[43]
2019 | Journal Article | IST-REx-ID: 8418 | OA
Guardia, Marcel, Vadim Kaloshin, and Jianlu Zhang. “Asymptotic Density of Collision Orbits in the Restricted Circular Planar 3 Body Problem.” Archive for Rational Mechanics and Analysis. Springer Nature, 2019. https://doi.org/10.1007/s00205-019-01368-7.
View | DOI | Download Published Version (ext.)
 
[42]
2018 | Journal Article | IST-REx-ID: 8417
Delshams, Amadeu, Vadim Kaloshin, Abraham de la Rosa, and Tere M. Seara. “Global Instability in the Restricted Planar Elliptic Three Body Problem.” Communications in Mathematical Physics. Springer Nature, 2018. https://doi.org/10.1007/s00220-018-3248-z.
View | DOI
 
[41]
2018 | Journal Article | IST-REx-ID: 8419
Kaloshin, Vadim, and Alfonso Sorrentino. “On the Integrability of Birkhoff Billiards.” Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. The Royal Society, 2018. https://doi.org/10.1098/rsta.2017.0419.
View | DOI
 
[40]
2018 | Journal Article | IST-REx-ID: 8420 | OA
Kaloshin, Vadim, and Ke Zhang. “Density of Convex Billiards with Rational Caustics.” Nonlinearity. IOP Publishing, 2018. https://doi.org/10.1088/1361-6544/aadc12.
View | DOI | Download Preprint (ext.) | arXiv
 
[39]
2018 | Journal Article | IST-REx-ID: 8421 | OA
Kaloshin, Vadim, and Alfonso Sorrentino. “On the Local Birkhoff Conjecture for Convex Billiards.” Annals of Mathematics. Annals of Mathematics, Princeton U, 2018. https://doi.org/10.4007/annals.2018.188.1.6.
View | DOI | Download Preprint (ext.) | arXiv
 
[38]
2018 | Journal Article | IST-REx-ID: 8422 | OA
Huang, Guan, Vadim Kaloshin, and Alfonso Sorrentino. “Nearly Circular Domains Which Are Integrable Close to the Boundary Are Ellipses.” Geometric and Functional Analysis. Springer Nature, 2018. https://doi.org/10.1007/s00039-018-0440-4.
View | DOI | Download Preprint (ext.) | arXiv
 
[37]
2018 | Journal Article | IST-REx-ID: 8426 | OA
Buhovsky, Lev, and Vadim Kaloshin. “Nonisometric Domains with the Same Marvizi-Melrose Invariants.” Regular and Chaotic Dynamics. Springer Nature, 2018. https://doi.org/10.1134/s1560354718010057.
View | DOI | Download Preprint (ext.) | arXiv
 
[36]
2017 | Journal Article | IST-REx-ID: 8423 | OA
Huang, Guan, Vadim Kaloshin, and Alfonso Sorrentino. “On the Marked Length Spectrum of Generic Strictly Convex Billiard Tables.” Duke Mathematical Journal. Duke University Press, 2017. https://doi.org/10.1215/00127094-2017-0038.
View | DOI | Download Preprint (ext.) | arXiv
 
[35]
2017 | Journal Article | IST-REx-ID: 8427 | OA
De Simoi, Jacopo, Vadim Kaloshin, and Qiaoling Wei. “Dynamical Spectral Rigidity among Z2-Symmetric Strictly Convex Domains Close to a Circle.” Annals of Mathematics. Annals of Mathematics, 2017. https://doi.org/10.4007/annals.2017.186.1.7.
View | DOI | Download Preprint (ext.) | arXiv
 
[34]
2016 | Journal Article | IST-REx-ID: 8493
Guardia, M., Vadim Kaloshin, and J. Zhang. “A Second Order Expansion of the Separatrix Map for Trigonometric Perturbations of a Priori Unstable Systems.” Communications in Mathematical Physics. Springer Nature, 2016. https://doi.org/10.1007/s00220-016-2705-9.
View | DOI
 
[33]
2016 | Journal Article | IST-REx-ID: 8494
Bernard, Patrick, Vadim Kaloshin, and Ke Zhang. “Arnold Diffusion in Arbitrary Degrees of Freedom and Normally Hyperbolic Invariant Cylinders.” Acta Mathematica. Institut Mittag-Leffler, 2016. https://doi.org/10.1007/s11511-016-0141-5.
View | DOI
 
[32]
2016 | Journal Article | IST-REx-ID: 8496
Avila, Artur, Jacopo De Simoi, and Vadim Kaloshin. “An Integrable Deformation of an Ellipse of Small Eccentricity Is an Ellipse.” Annals of Mathematics. Princeton University Press, 2016. https://doi.org/10.4007/annals.2016.184.2.5.
View | DOI
 
[31]
2016 | Journal Article | IST-REx-ID: 8497
Féjoz, Jacques, Marcel Guàrdia, Vadim Kaloshin, and Pablo Roldán. “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, 2016. https://doi.org/10.4171/jems/642.
View | DOI
 
[30]
2015 | Journal Article | IST-REx-ID: 8495
Bounemoura, Abed, and Vadim Kaloshin. “A Note on Micro-Instability for Hamiltonian Systems Close to Integrable.” Proceedings of the American Mathematical Society. American Mathematical Society, 2015. https://doi.org/10.1090/proc/12796.
View | DOI
 
[29]
2015 | Journal Article | IST-REx-ID: 8498
Kaloshin, Vadim, and K Zhang. “Arnold Diffusion for Smooth Convex Systems of Two and a Half Degrees of Freedom.” Nonlinearity. IOP Publishing, 2015. https://doi.org/10.1088/0951-7715/28/8/2699.
View | DOI
 
[28]
2015 | Journal Article | IST-REx-ID: 8499
Guardia, Marcel, and Vadim Kaloshin. “Growth of Sobolev Norms in the Cubic Defocusing Nonlinear Schrödinger Equation.” Journal of the European Mathematical Society. European Mathematical Society Publishing House, 2015. https://doi.org/10.4171/jems/499.
View | DOI
 
[27]
2014 | Journal Article | IST-REx-ID: 8500
Kaloshin, Vadim, Mark Levi, and Maria Saprykina. “Arnol′d Diffusion in a Pendulum Lattice.” Communications on Pure and Applied Mathematics. Wiley, 2014. https://doi.org/10.1002/cpa.21509.
View | DOI
 
[26]
2014 | Journal Article | IST-REx-ID: 8501
Bounemoura, Abed, and Vadim Kaloshin. “Generic Fast Diffusion for a Class of Non-Convex Hamiltonians with Two Degrees of Freedom.” Moscow Mathematical Journal. Independent University of Moscow, 2014. https://doi.org/10.17323/1609-4514-2014-14-2-181-203.
View | DOI | arXiv
 
[25]
2012 | Journal Article | IST-REx-ID: 8502
Kaloshin, Vadim, and Maria Saprykina. “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, 2012. https://doi.org/10.1007/s00220-012-1532-x.
View | DOI
 
[24]
2012 | Journal Article | IST-REx-ID: 8503
Albouy, Alain, and Vadim Kaloshin. “Finiteness of Central Configurations of Five Bodies in the Plane.” Annals of Mathematics. Princeton University Press, 2012. https://doi.org/10.4007/annals.2012.176.1.10.
View | DOI
 
[23]
2012 | Journal Article | IST-REx-ID: 8504
Kaloshin, Vadim, and O. S. KOZLOVSKI. “A Cr Unimodal Map with an Arbitrary Fast Growth of the Number of Periodic Points.” Ergodic Theory and Dynamical Systems. Cambridge University Press, 2012. https://doi.org/10.1017/s0143385710000817.
View | DOI
 
[22]
2011 | Journal Article | IST-REx-ID: 8505
Galante, Joseph, and Vadim Kaloshin. “Destruction of Invariant Curves in the Restricted Circular Planar Three-Body Problem by Using Comparison of Action.” Duke Mathematical Journal. Duke University Press, 2011. https://doi.org/10.1215/00127094-1415878.
View | DOI
 
[21]
2010 | Book Chapter | IST-REx-ID: 8506
Hunt, Brian R., and Vadim Kaloshin. “Prevalence.” In Handbook of Dynamical Systems, 3:43–87. Elsevier, 2010. https://doi.org/10.1016/s1874-575x(10)00310-3.
View | DOI
 
[20]
2010 | Conference Paper | IST-REx-ID: 8507
Kaloshin, Vadim, KE ZHANG, and YONG ZHENG. “Almost Dense Orbit on Energy Surface.” In XVIth International Congress on Mathematical Physics, 314–22. World Scientific, 2010. https://doi.org/10.1142/9789814304634_0017.
View | DOI
 
[19]
2009 | Journal Article | IST-REx-ID: 8508
Gorodetski, Anton, and Vadim Kaloshin. “Conservative Homoclinic Bifurcations and Some Applications.” Proceedings of the Steklov Institute of Mathematics. Springer Nature, 2009. https://doi.org/10.1134/s0081543809040063.
View | DOI
 
[18]
2008 | Journal Article | IST-REx-ID: 8509
Kaloshin, Vadim, and Mark Levi. “Geometry of Arnold Diffusion.” SIAM Review. Society for Industrial & Applied Mathematics, 2008. https://doi.org/10.1137/070703235.
View | DOI
 
[17]
2008 | Journal Article | IST-REx-ID: 8510
Kaloshin, Vadim, and Mark Levi. “An Example of Arnold Diffusion for Near-Integrable Hamiltonians.” Bulletin of the American Mathematical Society. American Mathematical Society, 2008. https://doi.org/10.1090/s0273-0979-08-01211-1.
View | DOI
 
[16]
2007 | Journal Article | IST-REx-ID: 8511
Gorodetski, A., and Vadim Kaloshin. “How Often Surface Diffeomorphisms Have Infinitely Many Sinks and Hyperbolicity of Periodic Points near a Homoclinic Tangency.” Advances in Mathematics. Elsevier, 2007. https://doi.org/10.1016/j.aim.2006.03.012.
View | DOI
 
[15]
2007 | Journal Article | IST-REx-ID: 8512
Kaloshin, Vadim, and Brian Hunt. “Stretched Exponential Estimates on Growth of the Number of Periodic Points for Prevalent Diffeomorphisms I.” Annals of Mathematics. Princeton University Press, 2007. https://doi.org/10.4007/annals.2007.165.89.
View | DOI
 
[14]
2006 | Journal Article | IST-REx-ID: 8513
Kaloshin, Vadim, and Maria Saprykina. “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), 2006. https://doi.org/10.3934/dcds.2006.15.611.
View | DOI
 
[13]
2006 | Journal Article | IST-REx-ID: 8514
OTT, WILLIAM, BRIAN HUNT, and Vadim Kaloshin. “The Effect of Projections on Fractal Sets and Measures in Banach Spaces.” Ergodic Theory and Dynamical Systems. Cambridge University Press, 2006. https://doi.org/10.1017/s0143385705000714.
View | DOI
 
[12]
2006 | Conference Paper | IST-REx-ID: 8515
Kaloshin, Vadim, D. DOLGOPYAT, and L. KORALOV. “Long Time Behaviour of Periodic Stochastic Flows.” In XIVth International Congress on Mathematical Physics, 290–95. World Scientific, 2006. https://doi.org/10.1142/9789812704016_0026.
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[11]
2005 | Journal Article | IST-REx-ID: 8516
Bourgain, Jean, and Vadim Kaloshin. “On Diffusion in High-Dimensional Hamiltonian Systems.” Journal of Functional Analysis. Elsevier, 2005. https://doi.org/10.1016/j.jfa.2004.09.006.
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[10]
2004 | Journal Article | IST-REx-ID: 8517
Dolgopyat, Dmitry, Vadim Kaloshin, and Leonid Koralov. “A Limit Shape Theorem for Periodic Stochastic Dispersion.” Communications on Pure and Applied Mathematics. Wiley, 2004. https://doi.org/10.1002/cpa.20032.
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[9]
2004 | Journal Article | IST-REx-ID: 8518
Koralov, Leonid, Vadim Kaloshin, and Dmitry Dolgopyat. “Sample Path Properties of the Stochastic Flows.” The Annals of Probability. Institute of Mathematical Statistics, 2004. https://doi.org/10.1214/aop/1078415827.
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[8]
2003 | Journal Article | IST-REx-ID: 8519
Kaloshin, Vadim. “The Existential Hilbert 16-Th Problem and an Estimate for Cyclicity of Elementary Polycycles.” Inventiones Mathematicae. Springer Nature, 2003. https://doi.org/10.1007/s00222-002-0244-9.
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[7]
2001 | Journal Article | IST-REx-ID: 8521
Kaloshin, Vadim, and Brian 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. American Mathematical Society, 2001. https://doi.org/10.1090/s1079-6762-01-00091-9.
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[6]
2001 | Journal Article | IST-REx-ID: 8522
Kaloshin, Vadim, and Brian 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. American Mathematical Society, 2001. https://doi.org/10.1090/s1079-6762-01-00090-7.
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[5]
2001 | Journal Article | IST-REx-ID: 8524
Kaloshin, Vadim, and I. Rodnianski. “Diophantine Properties of Elements of SO(3).” Geometric And Functional Analysis. Springer Nature, 2001. https://doi.org/10.1007/s00039-001-8222-8.
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[4]
2000 | Journal Article | IST-REx-ID: 8525
Kaloshin, Vadim. “Generic Diffeomorphisms with Superexponential Growth of Number of Periodic Orbits.” Communications in Mathematical Physics. Springer Nature, 2000. https://doi.org/10.1007/s002200050811.
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[3]
1999 | Journal Article | IST-REx-ID: 8526
Kaloshin, Vadim. “An Extension of the Artin-Mazur Theorem.” The Annals of Mathematics. JSTOR, 1999. https://doi.org/10.2307/121093.
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[2]
1997 | Journal Article | IST-REx-ID: 8527
Hunt, Brian R, and Vadim Kaloshin. “How Projections Affect the Dimension Spectrum of Fractal Measures.” Nonlinearity. IOP Publishing, 1997. https://doi.org/10.1088/0951-7715/10/5/002.
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[1]
1997 | Journal Article | IST-REx-ID: 8528
Kaloshin, Vadim. “Prevalence in the Space of Finitely Smooth Maps.” Functional Analysis and Its Applications. Springer Nature, 1997. https://doi.org/10.1007/bf02466014.
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