Vadim Kaloshin

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All published works

Action	Title	Year	Authors
+	Birkhoff Conjecture for Nearly Centrally Symmetric Domains	2024	Vadim Kaloshin Comlan Edmond Koudjinan Ke Zhang
+ PDF Chat	Balian-Bloch Wave Invariants for Nearly Degenerate Orbits	2024	Vadim Kaloshin І. М. Коваль Amir Vig
+	Lecture Notes on Birkhoff Billiards: Dynamics, Integrability and Spectral Rigidity	2024	Corentin Fierobe Vadim Kaloshin Alfonso Sorrentino
+	Length Spectrum Rigidity for Piecewise Analytic Bunimovich Billiards	2023	Jianyu Chen Vadim Kaloshin Hong-Kun Zhang
+ PDF Chat	Marked Length Spectral determination of analytic chaotic billiards with axial symmetries	2023	Jacopo De Simoi Vadim Kaloshin Martin Leguil
+	Dynamische Systeme	2022	Marie-Claude Arnaud Helmut Hofer Michael Hutchings Vadim Kaloshin
+ PDF Chat	On Some Invariants of Birkhoff Billiards Under Conjugacy	2022	Comlan Edmond Koudjinan Vadim Kaloshin
+	Non co-preservation of the 1/2 and 1/(2l+1)-rational caustics along deformations of circles	2021	Vadim Kaloshin Edmond Koudjinan
+	Inverse problems and rigidity questions in billiard dynamics	2021	Vadim Kaloshin Alfonso Sorrentino
+	On some invariants of Birkhoff billiards under conjugacy	2021	Vadim Kaloshin Comlan Edmond Koudjinan
+ PDF Chat	On the Finite Dimensionality of Integrable Deformations of Strictly Convex Integrable Billiard Tables	2019	Guan Huang Vadim Kaloshin
+ PDF Chat	Marked Length Spectrum, Homoclinic Orbits and the Geometry of Open Dispersing Billiards	2019	Péter Bálint Jacopo De Simoi Vadim Kaloshin Martin Leguil
+ PDF Chat	Asymptotic Density of Collision Orbits in the Restricted Circular Planar 3 Body Problem	2019	Marcel Guàrdia Vadim Kaloshin Jianlu Zhang
+	Length Spectrum Rigidity for piecewise analytic Bunimovich Billiards	2019	Jianyu Chen Vadim Kaloshin Hong-Kun Zhang
+ PDF Chat	Density of convex billiards with rational caustics	2018	Vadim Kaloshin Ke Zhang
+	On the spectral rigidity of chaotic billiards.	2018	Péter Bálint Jacopo De Simoi Vadim Kaloshin Martin Leguil
+ PDF Chat	On the integrability of Birkhoff billiards	2018	Vadim Kaloshin Alfonso Sorrentino
+ PDF Chat	On the local Birkhoff conjecture for convex billiards	2018	Vadim Kaloshin Alfonso Sorrentino
+ PDF Chat	Nearly Circular Domains Which Are Integrable Close to the Boundary Are Ellipses	2018	Guan Huang Vadim Kaloshin Alfonso Sorrentino
+	On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables	2018	Guan Huang Vadim Kaloshin
+ PDF Chat	Nonisometric Domains with the Same Marvizi – Melrose Invariants	2018	Lev Buhovsky Vadim Kaloshin
+ PDF Chat	On the marked length spectrum of generic strictly convex billiard tables	2017	Guan Huang Vadim Kaloshin Alfonso Sorrentino
+	Coexistence of periodic-2 and periodic-3 caustics for nearly circular analytic billiard maps	2017	Vadim Kaloshin Jianlu Zhang
+	Dynamical spectral rigidity among $\mathbb{Z}_2$-symmetric strictly convex domains close to a circle (Appendix B coauthored with H. Hezari)	2017	Jacopo De Simoi Vadim Kaloshin Qiaoling Wei Hamed Hezari
+	Nearly circular domains which are integrable close to the boundary are ellipses	2017	Guan Huang Vadim Kaloshin Alfonso Sorrentino
+	On the Local Birkhoff Conjecture for Convex Billiards	2016	Vadim Kaloshin Alfonso Sorrentino
+ PDF Chat	An integrable deformation of an ellipse of small eccentricity is an ellipse	2016	Artur Avila Jacopo De Simoi Vadim Kaloshin
+	Dynamical Spectral rigidity among $\mathbb Z_2$-symmetric strictly convex domains close to a circle	2016	Jacopo De Simoi Vadim Kaloshin Qiaoling Wei
+ PDF Chat	A note on micro-instability for Hamiltonian systems close to integrable	2015	Abed Bounemoura Vadim Kaloshin
+	An integrable deformation of an ellipse of small eccentricity is an ellipse	2014	Artur Avila Jacopo De Simoi Vadim Kaloshin
+	On Arnold diffusion for convex Hamiltonians in any dimension	2014	Vadim Kaloshin
+	On conjugacy of convex billiards	2012	Vadim Kaloshin Alfonso Sorrentino

Common Coauthors

Coauthor	Papers Together
Alfonso Sorrentino	9
Jacopo De Simoi	7
Guan Huang	5
Comlan Edmond Koudjinan	3
Martin Leguil	3
Artur Avila	2
Jianlu Zhang	2
Péter Bálint	2
Ke Zhang	2
Jianyu Chen	2
Qiaoling Wei	2
Hong-Kun Zhang	2
Hamed Hezari	1
Edmond Koudjinan	1
Abed Bounemoura	1
Lev Buhovsky	1
Corentin Fierobe	1
Marcel Guàrdia	1
Michael Hutchings	1
Helmut Hofer	1
Amir Vig	1
І. М. Коваль	1
Marie-Claude Arnaud	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	The propagation of singularities along gliding rays	1977	Karl Gustav Andersson Richard Melrose	13
+	Break-up of resonant invariant curves in billiards and dual billiards associated to perturbed circular tables	2006	Rafael Ramírez-Ros	12
+	Geometry and Billiards	2005	Serge Tabachnikov	12
+ PDF Chat	One cannot hear the shape of a drum	1992	Carolyn S. Gordon David L. Webb Scott A. Wolpert	12
+ PDF Chat	An integrable deformation of an ellipse of small eccentricity is an ellipse	2016	Artur Avila Jacopo De Simoi Vadim Kaloshin	12
+ PDF Chat	Strange billiard tables	1977	Benjamin Halpern	12
+	Convex billiards and a theorem by E. Hopf	1993	Misha Bialy	12
+	THE EXISTENCE OF CAUSTICS FOR A BILLIARD PROBLEM IN A CONVEX DOMAIN	1973	V. F. Lazutkin	10
+ PDF Chat	Spectral invariants of convex planar regions	1982	Shahla Marvizi Richard Melrose	10
+	Some inverse spectral results for negatively curved 2-manifolds	1980	Victor Guillemin David Kazhdan	9
+	Dynamical spectral rigidity among $\mathbb{Z}_2$-symmetric strictly convex domains close to a circle (Appendix B coauthored with H. Hezari)	2017	Jacopo De Simoi Vadim Kaloshin Qiaoling Wei Hamed Hezari	9
+ PDF Chat	On the marked length spectrum of generic strictly convex billiard tables	2017	Guan Huang Vadim Kaloshin Alfonso Sorrentino	9
+	Le Spectre Marque des Longueurs des Surfaces a Courbure Negative	1990	Jean-Pierre Otal	9
+ PDF Chat	<i>C</i><sup>∞</sup>spectral rigidity of the ellipse	2012	Hamid Hezari Steve Zelditch	9
+ PDF Chat	On the local Birkhoff conjecture for convex billiards	2018	Vadim Kaloshin Alfonso Sorrentino	8
+ PDF Chat	Invariants of the length spectrum and spectral invariants of planar convex domains	1994	Georgi Popov	8
+	Computing Mather's $\beta$-function for Birkhoff billiards	2015	Alfonso Sorrentino	8
+ PDF Chat	Billiard dynamics: a survey with the emphasis on open problems	2011	Eugène Gutkin	7
+	Spectral rigidity of a compact negatively curved manifold	1998	Christopher B. Croke Vladimir Sharafutdinov	7
+	Action minimizing orbits in hamiltomian systems	1994	John N. Mather Giovanni Forni	7
+	Rigidity for surfaces of non-positive curvature	1990	Christopher B. Croke	7
+	Geometry Of Geodesics For Convex Billiards And Circular Billiards	2002	Nobuhiro Innami	7
+ PDF Chat	Inverse spectral problem for analytic domains, II: ℤ<sub>2</sub>-symmetric domains	2009	Steve Zelditch	7
+ PDF Chat	Nearly Circular Domains Which Are Integrable Close to the Boundary Are Ellipses	2018	Guan Huang Vadim Kaloshin Alfonso Sorrentino	7
+ PDF Chat	Spectral determination of analytic bi-axisymmetric plane domains	2000	Steve Zelditch	7
+	Differentiability of the minimal average action as a function of the rotation number	1990	John N. Mather	7
+	Riemannian Coverings and Isospectral Manifolds	1985	Toshikazu Sunada	7
+	Billiard map and rigid rotation	2013	Dmitry Treschev	7
+ PDF Chat	Caustics for inner and outer billiards	1995	Eugène Gutkin Anatole Katok	6
+	Compact isospectral sets of surfaces	1988	Brad Osgood Ralph S. Phillips Peter Sarnak	6
+	The Billard Ball Problem on a Table With a Convex Boundary--An Illustrative Dynamical Problem	1950	H. Poritsky	6
+ PDF Chat	Non-persistence of resonant caustics in perturbed elliptic billiards	2012	Sônia Pinto-de-Carvalho Rafael Ramírez-Ros	6
+ PDF Chat	Poincaré - Melnikov - Arnold method for analytic planar maps	1996	Amadeu Delshams Rafael Ramírez-Ros	6
+ PDF Chat	Two applications of Jacobi fields to the billiard ball problem	1994	Maciej P. Wojtkowski	6
+	Determinants of Laplacians; Heights and Finiteness	1990	Peter Sarnak	6
+	Angular billiard and algebraic Birkhoff conjecture	2017	Misha Bialy Andrey E. Mironov	6
+	Moduli Space, Heights and Isospectral Sets of Plane Domains	1989	Brad Osgood R. Phillips Peter Sarnak	6
+	A Cohomological Invariant of Discrete Dynamical Systems	1981	Victor Guillemin Richard Melrose	6
+	Extremals of determinants of Laplacians	1988	Brad Osgood Ralph S. Phillips Peter Sarnak	6
+ PDF Chat	Survey on the Inverse Spectral Problem	2014	Steve Zelditch	5
+	Inverse Spectral Problem for Analytic $${{(\mathbb{Z}/2 \mathbb{Z})^{n}}}$$ -Symmetric Domains in $${{\mathbb{R}^{n}}}$$	2010	Hamid Hezari Steve Zelditch	5
+ PDF Chat	Glancing billiards	1982	John N. Mather	5
+	Varietes Riemanniennes Isospectrales et non Isometriques	1980	Marie-France Vignéras	5
+	Two-dimensional Riemannian metrics with integrable geodesic flows. Local and global geometry	1998	Alexey V. Bolsinov Vladimir S. Matveev А. Т. Фоменко	5
+	Inverse spectral problem for analytic $(Z/2Z)^n$-symmetric domains in $R^n$	2009	Hamid Hezari Steve Zelditch	5
+ PDF Chat	The marked length spectrum of Anosov manifolds	2019	Colin Guillarmou Thibault Lefeuvre	5
+ PDF Chat	One can hear the shape of ellipses of small eccentricity	2022	Hamid Hezari Steve Zelditch	4
+	Riemannian tori without conjugate points are flat	1994	Dmitri Burago S. V. Ivanov	4
+ PDF Chat	Sur les longueurs des trajectoires périodiques d'un billard	1983	Yves Colin de Verdìère	4
+ PDF Chat	Canonical Perturbation Theory of Anosov Systems and Regularity Results for the Livsic Cohomology Equation	1986	Rafael de la Llave J. M. Marco Roberto Moriyón	4