50 Publications

Mark all

[50]
2023 | Journal Article | IST-REx-ID: 12877 | OA
Marked Length Spectral determination of analytic chaotic billiards with axial symmetries
J. De Simoi, V. Kaloshin, M. Leguil, Inventiones Mathematicae 233 (2023) 829–901.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[49]
2023 | Journal Article | IST-REx-ID: 14427 | OA
Length spectrum rigidity for piecewise analytic Bunimovich billiards
J. Chen, V. Kaloshin, H.K. Zhang, Communications in Mathematical Physics (2023).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[48]
2022 | Journal Article | IST-REx-ID: 12145 | OA
On some invariants of Birkhoff billiards under conjugacy
E. Koudjinan, V. Kaloshin, Regular and Chaotic Dynamics 27 (2022) 525–537.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
[47]
2021 | Preprint | IST-REx-ID: 9435 | OA [Submitted Version] View | Files available
 
[46]
2020 | Book | IST-REx-ID: 8414
Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom
V. Kaloshin, K. Zhang, Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom, 1st ed., Princeton University Press, 2020.
View | DOI
 
[45]
2019 | Journal Article | IST-REx-ID: 8415 | OA
Marked length spectrum, homoclinic orbits and the geometry of open dispersing billiards
P. Bálint, J. De Simoi, V. Kaloshin, M. Leguil, Communications in Mathematical Physics 374 (2019) 1531–1575.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[44]
2019 | Journal Article | IST-REx-ID: 8418 | OA
Asymptotic density of collision orbits in the Restricted Circular Planar 3 Body Problem
M. Guardia, V. Kaloshin, J. Zhang, Archive for Rational Mechanics and Analysis 233 (2019) 799–836.
[Published Version] View | DOI | Download Published Version (ext.)
 
[43]
2019 | Journal Article | IST-REx-ID: 8416 | OA
On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables
G. Huang, V. Kaloshin, Moscow Mathematical Journal 19 (2019) 307–327.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[42]
2018 | Journal Article | IST-REx-ID: 8417
Global instability in the restricted planar elliptic three body problem
A. Delshams, V. Kaloshin, A. de la Rosa, T.M. Seara, Communications in Mathematical Physics 366 (2018) 1173–1228.
View | DOI
 
[41]
2018 | Journal Article | IST-REx-ID: 8422 | OA
Nearly circular domains which are integrable close to the boundary are ellipses
G. Huang, V. Kaloshin, A. Sorrentino, Geometric and Functional Analysis 28 (2018) 334–392.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[40]
2018 | Journal Article | IST-REx-ID: 8421 | OA
On the local Birkhoff conjecture for convex billiards
V. Kaloshin, A. Sorrentino, Annals of Mathematics 188 (2018) 315–380.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[39]
2018 | Journal Article | IST-REx-ID: 8419
On the integrability of Birkhoff billiards
V. Kaloshin, A. Sorrentino, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 376 (2018).
View | DOI
 
[38]
2018 | Journal Article | IST-REx-ID: 8420 | OA
Density of convex billiards with rational caustics
V. Kaloshin, K. Zhang, Nonlinearity 31 (2018) 5214–5234.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[37]
2018 | Journal Article | IST-REx-ID: 8426 | OA
Nonisometric domains with the same Marvizi-Melrose invariants
L. Buhovsky, V. Kaloshin, Regular and Chaotic Dynamics 23 (2018) 54–59.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[36]
2017 | Journal Article | IST-REx-ID: 8423 | OA
On the marked length spectrum of generic strictly convex billiard tables
G. Huang, V. Kaloshin, A. Sorrentino, Duke Mathematical Journal 167 (2017) 175–209.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[35]
2017 | Journal Article | IST-REx-ID: 8427 | OA
Dynamical spectral rigidity among Z2-symmetric strictly convex domains close to a circle
J. De Simoi, V. Kaloshin, Q. Wei, Annals of Mathematics 186 (2017) 277–314.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[34]
2016 | Journal Article | IST-REx-ID: 8497
Kirkwood gaps and diffusion along mean motion resonances in the restricted planar three-body problem
J. Féjoz, M. Guàrdia, V. Kaloshin, P. Roldán, Journal of the European Mathematical Society 18 (2016) 2315–2403.
View | DOI
 
[33]
2016 | Journal Article | IST-REx-ID: 8496
An integrable deformation of an ellipse of small eccentricity is an ellipse
A. Avila, J. De Simoi, V. Kaloshin, Annals of Mathematics 184 (2016) 527–558.
View | DOI
 
[32]
2016 | Journal Article | IST-REx-ID: 8493
A second order expansion of the separatrix map for trigonometric perturbations of a priori unstable systems
M. Guardia, V. Kaloshin, J. Zhang, Communications in Mathematical Physics 348 (2016) 321–361.
View | DOI
 
[31]
2016 | Journal Article | IST-REx-ID: 8494
Arnold diffusion in arbitrary degrees of freedom and normally hyperbolic invariant cylinders
P. Bernard, V. Kaloshin, K. Zhang, Acta Mathematica 217 (2016) 1–79.
View | DOI
 
[30]
2015 | Journal Article | IST-REx-ID: 8498
Arnold diffusion for smooth convex systems of two and a half degrees of freedom
V. Kaloshin, K. Zhang, Nonlinearity 28 (2015) 2699–2720.
View | DOI
 
[29]
2015 | Journal Article | IST-REx-ID: 8499
Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation
M. Guardia, V. Kaloshin, Journal of the European Mathematical Society 17 (2015) 71–149.
View | DOI
 
[28]
2015 | Journal Article | IST-REx-ID: 8495
A note on micro-instability for Hamiltonian systems close to integrable
A. Bounemoura, V. Kaloshin, Proceedings of the American Mathematical Society 144 (2015) 1553–1560.
View | DOI
 
[27]
2014 | Journal Article | IST-REx-ID: 8501
Generic fast diffusion for a class of non-convex Hamiltonians with two degrees of freedom
A. Bounemoura, V. Kaloshin, Moscow Mathematical Journal 14 (2014) 181–203.
[Preprint] View | DOI | arXiv
 
[26]
2014 | Journal Article | IST-REx-ID: 8500
Arnol′d diffusion in a pendulum lattice
V. Kaloshin, M. Levi, M. Saprykina, Communications on Pure and Applied Mathematics 67 (2014) 748–775.
View | DOI
 
[25]
2012 | Journal Article | IST-REx-ID: 8502
An example of a nearly integrable Hamiltonian system with a trajectory dense in a set of maximal Hausdorff dimension
V. Kaloshin, M. Saprykina, Communications in Mathematical Physics 315 (2012) 643–697.
View | DOI
 
[24]
2012 | Journal Article | IST-REx-ID: 8504
A Cr unimodal map with an arbitrary fast growth of the number of periodic points
V. Kaloshin, O.S. KOZLOVSKI, Ergodic Theory and Dynamical Systems 32 (2012) 159–165.
View | DOI
 
[23]
2012 | Journal Article | IST-REx-ID: 8503
Finiteness of central configurations of five bodies in the plane
A. Albouy, V. Kaloshin, Annals of Mathematics 176 (2012) 535–588.
View | DOI
 
[22]
2011 | Journal Article | IST-REx-ID: 8505 View | DOI
 
[21]
2010 | Conference Paper | IST-REx-ID: 8507
Almost dense orbit on energy surface
V. Kaloshin, K. ZHANG, Y. ZHENG, in:, XVIth International Congress on Mathematical Physics, World Scientific, 2010, pp. 314–322.
View | DOI
 
[20]
2010 | Book Chapter | IST-REx-ID: 8506
Prevalence
B.R. Hunt, V. Kaloshin, in:, Handbook of Dynamical Systems, Elsevier, 2010, pp. 43–87.
View | DOI
 
[19]
2009 | Journal Article | IST-REx-ID: 8508
Conservative homoclinic bifurcations and some applications
A. Gorodetski, V. Kaloshin, Proceedings of the Steklov Institute of Mathematics 267 (2009) 76–90.
View | DOI
 
[18]
2008 | Journal Article | IST-REx-ID: 8510
An example of Arnold diffusion for near-integrable Hamiltonians
V. Kaloshin, M. Levi, Bulletin of the American Mathematical Society 45 (2008) 409–427.
View | DOI
 
[17]
2008 | Journal Article | IST-REx-ID: 8509
Geometry of Arnold diffusion
V. Kaloshin, M. Levi, SIAM Review 50 (2008) 702–720.
View | DOI
 
[16]
2007 | Journal Article | IST-REx-ID: 8511 View | DOI
 
[15]
2007 | Journal Article | IST-REx-ID: 8512 View | DOI
 
[14]
2006 | Journal Article | IST-REx-ID: 8514
The effect of projections on fractal sets and measures in Banach spaces
W. OTT, B. HUNT, V. Kaloshin, Ergodic Theory and Dynamical Systems 26 (2006) 869–891.
View | DOI
 
[13]
2006 | Conference Paper | IST-REx-ID: 8515
Long time behaviour of periodic stochastic flows
V. Kaloshin, D. DOLGOPYAT, L. KORALOV, in:, XIVth International Congress on Mathematical Physics, World Scientific, 2006, pp. 290–295.
View | DOI
 
[12]
2006 | Journal Article | IST-REx-ID: 8513
Generic 3-dimensional volume-preserving diffeomorphisms with superexponential growth of number of periodic orbits
V. Kaloshin, M. Saprykina, Discrete & Continuous Dynamical Systems - A 15 (2006) 611–640.
View | DOI
 
[11]
2005 | Journal Article | IST-REx-ID: 8516
On diffusion in high-dimensional Hamiltonian systems
J. Bourgain, V. Kaloshin, Journal of Functional Analysis 229 (2005) 1–61.
View | DOI
 
[10]
2004 | Journal Article | IST-REx-ID: 8517
A limit shape theorem for periodic stochastic dispersion
D. Dolgopyat, V. Kaloshin, L. Koralov, Communications on Pure and Applied Mathematics 57 (2004) 1127–1158.
View | DOI
 
[9]
2004 | Journal Article | IST-REx-ID: 8518
Sample path properties of the stochastic flows
L. Koralov, V. Kaloshin, D. Dolgopyat, The Annals of Probability 32 (2004) 1–27.
View | DOI
 
[8]
2003 | Journal Article | IST-REx-ID: 8519
The existential Hilbert 16-th problem and an estimate for cyclicity of elementary polycycles
V. Kaloshin, Inventiones Mathematicae 151 (2003) 451–512.
View | DOI
 
[7]
2001 | Journal Article | IST-REx-ID: 8522
A stretched exponential bound on the rate of growth of the number of periodic points for prevalent diffeomorphisms I
V. Kaloshin, B.R. Hunt, Electronic Research Announcements of the American Mathematical Society 7 (2001) 17–27.
View | DOI
 
[6]
2001 | Journal Article | IST-REx-ID: 8521
A stretched exponential bound on the rate of growth of the number of periodic points for prevalent diffeomorphisms II
V. Kaloshin, B.R. Hunt, Electronic Research Announcements of the American Mathematical Society 7 (2001) 28–36.
View | DOI
 
[5]
2001 | Journal Article | IST-REx-ID: 8524
Diophantine properties of elements of SO(3)
V. Kaloshin, I. Rodnianski, Geometric And Functional Analysis 11 (2001) 953–970.
View | DOI
 
[4]
2000 | Journal Article | IST-REx-ID: 8525
Generic diffeomorphisms with superexponential growth of number of periodic orbits
V. Kaloshin, Communications in Mathematical Physics 211 (2000) 253–271.
View | DOI
 
[3]
1999 | Journal Article | IST-REx-ID: 8526
An extension of the Artin-Mazur theorem
V. Kaloshin, The Annals of Mathematics 150 (1999) 729–741.
View | DOI
 
[2]
1997 | Journal Article | IST-REx-ID: 8528
Prevalence in the space of finitely smooth maps
V. Kaloshin, Functional Analysis and Its Applications 31 (1997) 95–99.
View | DOI
 
[1]
1997 | Journal Article | IST-REx-ID: 8527
How projections affect the dimension spectrum of fractal measures
B.R. Hunt, V. Kaloshin, Nonlinearity 10 (1997) 1031–1046.
View | DOI
 

Search

Filter Publications

50 Publications

Mark all

[50]
2023 | Journal Article | IST-REx-ID: 12877 | OA
Marked Length Spectral determination of analytic chaotic billiards with axial symmetries
J. De Simoi, V. Kaloshin, M. Leguil, Inventiones Mathematicae 233 (2023) 829–901.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[49]
2023 | Journal Article | IST-REx-ID: 14427 | OA
Length spectrum rigidity for piecewise analytic Bunimovich billiards
J. Chen, V. Kaloshin, H.K. Zhang, Communications in Mathematical Physics (2023).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[48]
2022 | Journal Article | IST-REx-ID: 12145 | OA
On some invariants of Birkhoff billiards under conjugacy
E. Koudjinan, V. Kaloshin, Regular and Chaotic Dynamics 27 (2022) 525–537.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
[47]
2021 | Preprint | IST-REx-ID: 9435 | OA [Submitted Version] View | Files available
 
[46]
2020 | Book | IST-REx-ID: 8414
Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom
V. Kaloshin, K. Zhang, Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom, 1st ed., Princeton University Press, 2020.
View | DOI
 
[45]
2019 | Journal Article | IST-REx-ID: 8415 | OA
Marked length spectrum, homoclinic orbits and the geometry of open dispersing billiards
P. Bálint, J. De Simoi, V. Kaloshin, M. Leguil, Communications in Mathematical Physics 374 (2019) 1531–1575.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[44]
2019 | Journal Article | IST-REx-ID: 8418 | OA
Asymptotic density of collision orbits in the Restricted Circular Planar 3 Body Problem
M. Guardia, V. Kaloshin, J. Zhang, Archive for Rational Mechanics and Analysis 233 (2019) 799–836.
[Published Version] View | DOI | Download Published Version (ext.)
 
[43]
2019 | Journal Article | IST-REx-ID: 8416 | OA
On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables
G. Huang, V. Kaloshin, Moscow Mathematical Journal 19 (2019) 307–327.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[42]
2018 | Journal Article | IST-REx-ID: 8417
Global instability in the restricted planar elliptic three body problem
A. Delshams, V. Kaloshin, A. de la Rosa, T.M. Seara, Communications in Mathematical Physics 366 (2018) 1173–1228.
View | DOI
 
[41]
2018 | Journal Article | IST-REx-ID: 8422 | OA
Nearly circular domains which are integrable close to the boundary are ellipses
G. Huang, V. Kaloshin, A. Sorrentino, Geometric and Functional Analysis 28 (2018) 334–392.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[40]
2018 | Journal Article | IST-REx-ID: 8421 | OA
On the local Birkhoff conjecture for convex billiards
V. Kaloshin, A. Sorrentino, Annals of Mathematics 188 (2018) 315–380.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[39]
2018 | Journal Article | IST-REx-ID: 8419
On the integrability of Birkhoff billiards
V. Kaloshin, A. Sorrentino, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 376 (2018).
View | DOI
 
[38]
2018 | Journal Article | IST-REx-ID: 8420 | OA
Density of convex billiards with rational caustics
V. Kaloshin, K. Zhang, Nonlinearity 31 (2018) 5214–5234.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[37]
2018 | Journal Article | IST-REx-ID: 8426 | OA
Nonisometric domains with the same Marvizi-Melrose invariants
L. Buhovsky, V. Kaloshin, Regular and Chaotic Dynamics 23 (2018) 54–59.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[36]
2017 | Journal Article | IST-REx-ID: 8423 | OA
On the marked length spectrum of generic strictly convex billiard tables
G. Huang, V. Kaloshin, A. Sorrentino, Duke Mathematical Journal 167 (2017) 175–209.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[35]
2017 | Journal Article | IST-REx-ID: 8427 | OA
Dynamical spectral rigidity among Z2-symmetric strictly convex domains close to a circle
J. De Simoi, V. Kaloshin, Q. Wei, Annals of Mathematics 186 (2017) 277–314.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[34]
2016 | Journal Article | IST-REx-ID: 8497
Kirkwood gaps and diffusion along mean motion resonances in the restricted planar three-body problem
J. Féjoz, M. Guàrdia, V. Kaloshin, P. Roldán, Journal of the European Mathematical Society 18 (2016) 2315–2403.
View | DOI
 
[33]
2016 | Journal Article | IST-REx-ID: 8496
An integrable deformation of an ellipse of small eccentricity is an ellipse
A. Avila, J. De Simoi, V. Kaloshin, Annals of Mathematics 184 (2016) 527–558.
View | DOI
 
[32]
2016 | Journal Article | IST-REx-ID: 8493
A second order expansion of the separatrix map for trigonometric perturbations of a priori unstable systems
M. Guardia, V. Kaloshin, J. Zhang, Communications in Mathematical Physics 348 (2016) 321–361.
View | DOI
 
[31]
2016 | Journal Article | IST-REx-ID: 8494
Arnold diffusion in arbitrary degrees of freedom and normally hyperbolic invariant cylinders
P. Bernard, V. Kaloshin, K. Zhang, Acta Mathematica 217 (2016) 1–79.
View | DOI
 
[30]
2015 | Journal Article | IST-REx-ID: 8498
Arnold diffusion for smooth convex systems of two and a half degrees of freedom
V. Kaloshin, K. Zhang, Nonlinearity 28 (2015) 2699–2720.
View | DOI
 
[29]
2015 | Journal Article | IST-REx-ID: 8499
Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation
M. Guardia, V. Kaloshin, Journal of the European Mathematical Society 17 (2015) 71–149.
View | DOI
 
[28]
2015 | Journal Article | IST-REx-ID: 8495
A note on micro-instability for Hamiltonian systems close to integrable
A. Bounemoura, V. Kaloshin, Proceedings of the American Mathematical Society 144 (2015) 1553–1560.
View | DOI
 
[27]
2014 | Journal Article | IST-REx-ID: 8501
Generic fast diffusion for a class of non-convex Hamiltonians with two degrees of freedom
A. Bounemoura, V. Kaloshin, Moscow Mathematical Journal 14 (2014) 181–203.
[Preprint] View | DOI | arXiv
 
[26]
2014 | Journal Article | IST-REx-ID: 8500
Arnol′d diffusion in a pendulum lattice
V. Kaloshin, M. Levi, M. Saprykina, Communications on Pure and Applied Mathematics 67 (2014) 748–775.
View | DOI
 
[25]
2012 | Journal Article | IST-REx-ID: 8502
An example of a nearly integrable Hamiltonian system with a trajectory dense in a set of maximal Hausdorff dimension
V. Kaloshin, M. Saprykina, Communications in Mathematical Physics 315 (2012) 643–697.
View | DOI
 
[24]
2012 | Journal Article | IST-REx-ID: 8504
A Cr unimodal map with an arbitrary fast growth of the number of periodic points
V. Kaloshin, O.S. KOZLOVSKI, Ergodic Theory and Dynamical Systems 32 (2012) 159–165.
View | DOI
 
[23]
2012 | Journal Article | IST-REx-ID: 8503
Finiteness of central configurations of five bodies in the plane
A. Albouy, V. Kaloshin, Annals of Mathematics 176 (2012) 535–588.
View | DOI
 
[22]
2011 | Journal Article | IST-REx-ID: 8505 View | DOI
 
[21]
2010 | Conference Paper | IST-REx-ID: 8507
Almost dense orbit on energy surface
V. Kaloshin, K. ZHANG, Y. ZHENG, in:, XVIth International Congress on Mathematical Physics, World Scientific, 2010, pp. 314–322.
View | DOI
 
[20]
2010 | Book Chapter | IST-REx-ID: 8506
Prevalence
B.R. Hunt, V. Kaloshin, in:, Handbook of Dynamical Systems, Elsevier, 2010, pp. 43–87.
View | DOI
 
[19]
2009 | Journal Article | IST-REx-ID: 8508
Conservative homoclinic bifurcations and some applications
A. Gorodetski, V. Kaloshin, Proceedings of the Steklov Institute of Mathematics 267 (2009) 76–90.
View | DOI
 
[18]
2008 | Journal Article | IST-REx-ID: 8510
An example of Arnold diffusion for near-integrable Hamiltonians
V. Kaloshin, M. Levi, Bulletin of the American Mathematical Society 45 (2008) 409–427.
View | DOI
 
[17]
2008 | Journal Article | IST-REx-ID: 8509
Geometry of Arnold diffusion
V. Kaloshin, M. Levi, SIAM Review 50 (2008) 702–720.
View | DOI
 
[16]
2007 | Journal Article | IST-REx-ID: 8511 View | DOI
 
[15]
2007 | Journal Article | IST-REx-ID: 8512 View | DOI
 
[14]
2006 | Journal Article | IST-REx-ID: 8514
The effect of projections on fractal sets and measures in Banach spaces
W. OTT, B. HUNT, V. Kaloshin, Ergodic Theory and Dynamical Systems 26 (2006) 869–891.
View | DOI
 
[13]
2006 | Conference Paper | IST-REx-ID: 8515
Long time behaviour of periodic stochastic flows
V. Kaloshin, D. DOLGOPYAT, L. KORALOV, in:, XIVth International Congress on Mathematical Physics, World Scientific, 2006, pp. 290–295.
View | DOI
 
[12]
2006 | Journal Article | IST-REx-ID: 8513
Generic 3-dimensional volume-preserving diffeomorphisms with superexponential growth of number of periodic orbits
V. Kaloshin, M. Saprykina, Discrete & Continuous Dynamical Systems - A 15 (2006) 611–640.
View | DOI
 
[11]
2005 | Journal Article | IST-REx-ID: 8516
On diffusion in high-dimensional Hamiltonian systems
J. Bourgain, V. Kaloshin, Journal of Functional Analysis 229 (2005) 1–61.
View | DOI
 
[10]
2004 | Journal Article | IST-REx-ID: 8517
A limit shape theorem for periodic stochastic dispersion
D. Dolgopyat, V. Kaloshin, L. Koralov, Communications on Pure and Applied Mathematics 57 (2004) 1127–1158.
View | DOI
 
[9]
2004 | Journal Article | IST-REx-ID: 8518
Sample path properties of the stochastic flows
L. Koralov, V. Kaloshin, D. Dolgopyat, The Annals of Probability 32 (2004) 1–27.
View | DOI
 
[8]
2003 | Journal Article | IST-REx-ID: 8519
The existential Hilbert 16-th problem and an estimate for cyclicity of elementary polycycles
V. Kaloshin, Inventiones Mathematicae 151 (2003) 451–512.
View | DOI
 
[7]
2001 | Journal Article | IST-REx-ID: 8522
A stretched exponential bound on the rate of growth of the number of periodic points for prevalent diffeomorphisms I
V. Kaloshin, B.R. Hunt, Electronic Research Announcements of the American Mathematical Society 7 (2001) 17–27.
View | DOI
 
[6]
2001 | Journal Article | IST-REx-ID: 8521
A stretched exponential bound on the rate of growth of the number of periodic points for prevalent diffeomorphisms II
V. Kaloshin, B.R. Hunt, Electronic Research Announcements of the American Mathematical Society 7 (2001) 28–36.
View | DOI
 
[5]
2001 | Journal Article | IST-REx-ID: 8524
Diophantine properties of elements of SO(3)
V. Kaloshin, I. Rodnianski, Geometric And Functional Analysis 11 (2001) 953–970.
View | DOI
 
[4]
2000 | Journal Article | IST-REx-ID: 8525
Generic diffeomorphisms with superexponential growth of number of periodic orbits
V. Kaloshin, Communications in Mathematical Physics 211 (2000) 253–271.
View | DOI
 
[3]
1999 | Journal Article | IST-REx-ID: 8526
An extension of the Artin-Mazur theorem
V. Kaloshin, The Annals of Mathematics 150 (1999) 729–741.
View | DOI
 
[2]
1997 | Journal Article | IST-REx-ID: 8528
Prevalence in the space of finitely smooth maps
V. Kaloshin, Functional Analysis and Its Applications 31 (1997) 95–99.
View | DOI
 
[1]
1997 | Journal Article | IST-REx-ID: 8527
How projections affect the dimension spectrum of fractal measures
B.R. Hunt, V. Kaloshin, Nonlinearity 10 (1997) 1031–1046.
View | DOI
 

Search

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