Billiard map and rigid rotation

Dmitry Treschev

Type: Article

Publication Date: 2013-04-22

Citations: 34

DOI: https://doi.org/10.1016/j.physd.2013.04.003

Similar Works

Action	Title	Year	Authors
+	Rotations and Euclidean Symmetry	2021	Manousos Markoutsakis
+ PDF Chat	Moment maps and geometric invariant theory	2014	GÃ¡bor SzÃ©kelyhidi
+	Generalized rotation sets and rotational entropy for circle maps	2024	Weifeng Jiang
+	Rotary Mappings and Projections of a Sphere	2021	Josef Mikeš N. I. Guseva Patrik Peška Lenka Rýparová
+	Rheid and Rigid Rotations	1964	E. S. T. O'Driscoll
+ PDF Chat	Rotation and pseudo-rotation	2005	Nikolai V. Mitskievich H. Vargas–Rodríguez
+	Transformation Under Rotations	2017	Igal Talmi
+ PDF Chat	Consistent Labeling of Rotating Maps	2011	Andreas Gemsa Martin Nöllenburg Ignaz Rutter
+	Euclidean and Affine Transformations	1965	P. S. Modenov A. S. Parkhomenko Michael B. P. Slater
+ PDF Chat	Moment maps and geometric invariant theory—Corrected version (October 2011)	2011	Chris Woodward
+	Rotation and Lorentz Transformation	2008
+	Rotation means of projections	1987	Erwin Lutwak
+	Rotation numbers	2021	Ana Rodrigues
+	Rotation Numbers	2014
+	Translation-invariant maps and applications	2008	Marek Niezgoda
+	On the correspondence principle for rotations	1996	S. G. Mokarzel M. C. Nemes A. F. R. Toledo Piza
+	Geometry and Transformations	2016	Matt Pharr Wenzel Jakob Greg Humphreys
+	Circular Transformations and Circular Geometry	1968	I. M. Yaglom
+	Rotation Number on a Circle	2020	Jan Bíma
+ PDF Chat	Transformations and Rotations	1971

Action	Title	Year	Authors
+	Billiard transformations of parallel flows: A periscope theorem	2016	Alexander Plakhov Serge Tabachnikov Dmitry Treschev
+	Polynomial conservation laws for the Lorentz gas and the Boltzmann-Gibbs gas	2016	Valery Vasil'evich Kozlov
+ PDF Chat	A survey on polynomial in momenta integrals for billiard problems	2018	Misha Bialy Andrey E. Mironov
+	On polynomially integrable Birkhoff billiards on surfaces of constant curvature	2017	Alexey Glutsyuk
+ PDF Chat	Isochronicity in 1 DOF	2022	Dmitry Treschev
+	Polynomial conservation laws for the Lorentz gas and the Boltzmann-Gibbs gas	2016	Valery Vasil'evich Kozlov
+ PDF Chat	C 1-generic billiard tables have a dense set of periodic points	2013	Marie-Claude Arnaud
+ PDF Chat	Nearly Circular Domains Which Are Integrable Close to the Boundary Are Ellipses	2018	Guan Huang Vadim Kaloshin Alfonso Sorrentino
+ PDF Chat	Billiards and integrable systems	2023	А. Т. Фоменко Viktoriya Viktorovna Vedyushkina
+ PDF Chat	On the local Birkhoff conjecture for convex billiards	2018	Vadim Kaloshin Alfonso Sorrentino

Action	Title	Year	Authors
+ PDF Chat	Periodic points of the billiard ball map in a convex domain	1989	Marek Rychlik
+	On quadrilateral orbits in planar billiards	2011	Alexey Glutsyuk Yury Kudryashov
+	Mushrooms and other billiards with divided phase space	2001	Leonid Bunimovich
+	Second term of the spectral asymptotic expansion of the Laplace - Beltrami operator on manifolds with boundary	1980	Victor Ivrii
+	Integrable billiards on surfaces of constant curvature	1992	Sergey Bolotin