Integrable billiards (in Russian) Vestnik Moskov, Univ. Ser. I Mat. Mekh, issue.6, p.2833, 1990. ,
An integrable deformation of an ellipse of small eccentricity is an ellipse, Annals of Mathematics, vol.184, issue.2, pp.527-558, 2016. ,
DOI : 10.4007/annals.2016.184.2.5
Caustics and evolutes for convex planar domains, Journal of Differential Geometry, vol.28, issue.2, pp.345-357, 1988. ,
DOI : 10.4310/jdg/1214442283
Convex billiards and a theorem by E. Hopf, Mathematische Zeitschrift, vol.30, issue.104, pp.147-154, 1993. ,
DOI : 10.1017/S0143385700001681
Angular billiard and algebraic Birkhoff conjecture, Advances in Mathematics, vol.313, pp.102-126, 2017. ,
DOI : 10.1016/j.aim.2017.04.001
URL : http://arxiv.org/pdf/1601.03196
On fourth-degree polynomial integrals of the Birkhoff billiard, Trudy Matem. Instituta im, Russian). English translation will appear in Proc. of Steklov Inst. of Math, pp.34-40, 2016. ,
Algebraic Birkhoff conjecture for billiards on Sphere and Hyperbolic plane, Journal of Geometry and Physics, vol.115, pp.150-156, 2017. ,
DOI : 10.1016/j.geomphys.2016.04.017
URL : http://arxiv.org/pdf/1602.05698
Integrable Birkhoff billiards, Mosc. Univ. Mech. Bull, vol.45, pp.2-10, 1990. ,
Integrable billiards on surfaces of constant curvature, Mathematical Notes, vol.115, issue.No. 1???2, pp.117-123, 1992. ,
DOI : 10.1007/BF02102114
Plane algebraic curves, 1986. ,
Integrable billiards and quadrics, Russian Mathematical Surveys, vol.65, issue.2, pp.319-379, 2010. ,
DOI : 10.1070/RM2010v065n02ABEH004673
On quadrilateral orbits in complex algebraic planar billiards, Moscow Math. J, vol.14, issue.2, pp.239-289, 2014. ,
DOI : 10.1134/s1064562411030343
On Odd-periodic Orbits in Complex Planar Billiards, Journal of Dynamical and Control Systems, vol.40, issue.1, pp.293-306, 2014. ,
DOI : 10.1007/BF02110371
URL : http://arxiv.org/pdf/1309.1849
On polynomially integrable planar outer billiards and curves with symmetry property, Preprint https ,
Introduction to singularities and deformations, 2007. ,
Principles of algebraic geometry, 1978. ,
DOI : 10.1002/9781118032527
On the arithmetic genera and the effective genera of algebraic curves, Memoirs of the College of Science, University of Kyoto. Series A: Mathematics, vol.30, issue.2, pp.30-177, 1956. ,
DOI : 10.1215/kjm/1250777055
On local Birkhoff Conjecture for convex billiards ,
VorlesungenüberVorlesungen¨Vorlesungenüber höhere Geometrie. 3. Aufl., bearbeitet und herausgegeben von W. Blaschke, Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen Bd, 1926. ,
A genetic introduction to the dynamics of systems with impacts, Translated from Russian by J.R.Schulenberger. Translations of Mathematical Monographs, vol.89, 1991. ,
Singular points of complex hypersurfaces, 1968. ,
The billiard ball problem on a table with a convex boundary ? an illustrative dynamical problem, Ann. of Math, issue.2, pp.51-446, 1950. ,
Integrable curvilinear billiards, Physics Letters A, vol.115, issue.1-2, pp.13-17, 1986. ,
DOI : 10.1016/0375-9601(86)90101-5
Invariant singular points of algebraic curves, Mathematical Notes of the Academy of Sciences of the USSR, vol.67, issue.No. 4, pp.962-963, 1983. ,
DOI : 10.1007/BF01157415
Geometry and billiards, Student Mathematical Library, vol.30, issue.176, 2005. ,
DOI : 10.1090/stml/030
On algebraically integrable outer billiards, Pacific Journal of Mathematics, vol.30, issue.1, pp.101-104, 2008. ,
DOI : 10.1007/BF02985854
Billiard map and rigid rotation, Physica D: Nonlinear Phenomena, vol.255, pp.31-34, 2013. ,
DOI : 10.1016/j.physd.2013.04.003
On a conjugacy problem in billiard dynamics, Proceedings of the Steklov Institute of Mathematics, vol.289, issue.1, pp.291-299, 2015. ,
DOI : 10.1134/S0081543815040173
A locally integrable multi-dimensional billiard system, Discrete and Continuous Dynamical Systems, vol.37, issue.10 ,
DOI : 10.3934/dcds.2017228
Integrable discrete-time systems and difference operators, Functional Analysis and Its Applications, vol.292, issue.6, pp.83-93, 1988. ,
DOI : 10.1002/sapm1976553213
Confocal surfaces and integrable billiards on the sphere and in the Lobachevsky space, Journal of Geometry and Physics, vol.7, issue.1, pp.81-107, 1990. ,
DOI : 10.1016/0393-0440(90)90021-T