-
Previous Article
Locally decodable codes and the failure of cotype for projective tensor products
- ERA-MS Home
- This Volume
-
Next Article
Simple loops on 2-bridge spheres in Heckoid orbifolds for 2-bridge links
On Totally integrable magnetic billiards on constant curvature surface
1. | School of Mathematical Sciences, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University |
References:
[1] |
J. Statist. Phys., 83 (1996), 81-126.
doi: 10.1007/BF02183641. |
[2] |
J. Phys. A, 18 (1985), 1361-1378. |
[3] |
Math. Z., 214 (1993), 147-154. |
[4] |
M. Bialy, Hopf rigidity for convex billiards on the hemisphere and hyperbolic plane,, \arXiv{1205.3873}., (). Google Scholar |
[5] |
Ergodic Theory Dynam. Systems, 20 (2000), 1619-1626. |
[6] |
A Modern Introduction. Cambridge Studies in Advanced Mathematics, 98. Cambridge University Press, Cambridge, 2006. |
[7] |
Comm. Math. Phys., 208 (1999), 65-90.
doi: 10.1007/s002200050748. |
[8] |
Comm. Math. Phys., 217 (2001), 33-53. |
[9] |
Regul. Chaotic Dyn., 8 (2003), 1-13. |
[10] |
J. Geom. Phys., 40 (2002), 277-301. |
[11] |
Nonlinearity, 3 (1990), 961-973. |
[12] |
Panor. Synth., 1, 1995. |
[13] |
Finsler metrics and a magnetic analog of Hilbert's fourth problem. in "Modern Dynamical Systems and Applications" 233-250, Cambridge Univ. Press, Cambridge, 2004. |
[14] |
J. Math. Phys., 37 (1996), 5577-5598. |
[15] |
J. Geom. Phys., 7 (1990), 81-107. |
[16] |
J. Differential Geom., 40 (1994), 155-164. |
show all references
References:
[1] |
J. Statist. Phys., 83 (1996), 81-126.
doi: 10.1007/BF02183641. |
[2] |
J. Phys. A, 18 (1985), 1361-1378. |
[3] |
Math. Z., 214 (1993), 147-154. |
[4] |
M. Bialy, Hopf rigidity for convex billiards on the hemisphere and hyperbolic plane,, \arXiv{1205.3873}., (). Google Scholar |
[5] |
Ergodic Theory Dynam. Systems, 20 (2000), 1619-1626. |
[6] |
A Modern Introduction. Cambridge Studies in Advanced Mathematics, 98. Cambridge University Press, Cambridge, 2006. |
[7] |
Comm. Math. Phys., 208 (1999), 65-90.
doi: 10.1007/s002200050748. |
[8] |
Comm. Math. Phys., 217 (2001), 33-53. |
[9] |
Regul. Chaotic Dyn., 8 (2003), 1-13. |
[10] |
J. Geom. Phys., 40 (2002), 277-301. |
[11] |
Nonlinearity, 3 (1990), 961-973. |
[12] |
Panor. Synth., 1, 1995. |
[13] |
Finsler metrics and a magnetic analog of Hilbert's fourth problem. in "Modern Dynamical Systems and Applications" 233-250, Cambridge Univ. Press, Cambridge, 2004. |
[14] |
J. Math. Phys., 37 (1996), 5577-5598. |
[15] |
J. Geom. Phys., 7 (1990), 81-107. |
[16] |
J. Differential Geom., 40 (1994), 155-164. |
[1] |
Misha Bialy. Hopf rigidity for convex billiards on the hemisphere and hyperbolic plane. Discrete & Continuous Dynamical Systems, 2013, 33 (9) : 3903-3913. doi: 10.3934/dcds.2013.33.3903 |
[2] |
Aleksander Ćwiszewski, Wojciech Kryszewski. On a generalized Poincaré-Hopf formula in infinite dimensions. Discrete & Continuous Dynamical Systems, 2011, 29 (3) : 953-978. doi: 10.3934/dcds.2011.29.953 |
[3] |
Federica Dragoni. Metric Hopf-Lax formula with semicontinuous data. Discrete & Continuous Dynamical Systems, 2007, 17 (4) : 713-729. doi: 10.3934/dcds.2007.17.713 |
[4] |
Hanming Zhou. Lens rigidity with partial data in the presence of a magnetic field. Inverse Problems & Imaging, 2018, 12 (6) : 1365-1387. doi: 10.3934/ipi.2018057 |
[5] |
Silvia Caprino, Guido Cavallaro, Carlo Marchioro. A Vlasov-Poisson plasma with unbounded mass and velocities confined in a cylinder by a magnetic mirror. Kinetic & Related Models, 2016, 9 (4) : 657-686. doi: 10.3934/krm.2016011 |
[6] |
Juan Pablo Rincón-Zapatero. Hopf-Lax formula for variational problems with non-constant discount. Journal of Geometric Mechanics, 2009, 1 (3) : 357-367. doi: 10.3934/jgm.2009.1.357 |
[7] |
Yernat M. Assylbekov, Hanming Zhou. Boundary and scattering rigidity problems in the presence of a magnetic field and a potential. Inverse Problems & Imaging, 2015, 9 (4) : 935-950. doi: 10.3934/ipi.2015.9.935 |
[8] |
Bo Wang, Jiguang Bao. Mirror symmetry for a Hessian over-determined problem and its generalization. Communications on Pure & Applied Analysis, 2014, 13 (6) : 2305-2316. doi: 10.3934/cpaa.2014.13.2305 |
[9] |
W. Patrick Hooper, Richard Evan Schwartz. Billiards in nearly isosceles triangles. Journal of Modern Dynamics, 2009, 3 (2) : 159-231. doi: 10.3934/jmd.2009.3.159 |
[10] |
Serge Tabachnikov. Birkhoff billiards are insecure. Discrete & Continuous Dynamical Systems, 2009, 23 (3) : 1035-1040. doi: 10.3934/dcds.2009.23.1035 |
[11] |
Simon Castle, Norbert Peyerimhoff, Karl Friedrich Siburg. Billiards in ideal hyperbolic polygons. Discrete & Continuous Dynamical Systems, 2011, 29 (3) : 893-908. doi: 10.3934/dcds.2011.29.893 |
[12] |
Timothy Chumley, Renato Feres. Entropy production in random billiards. Discrete & Continuous Dynamical Systems, 2021, 41 (3) : 1319-1346. doi: 10.3934/dcds.2020319 |
[13] |
Richard Evan Schwartz. Outer billiards and the pinwheel map. Journal of Modern Dynamics, 2011, 5 (2) : 255-283. doi: 10.3934/jmd.2011.5.255 |
[14] |
Mickaël Kourganoff. Uniform hyperbolicity in nonflat billiards. Discrete & Continuous Dynamical Systems, 2018, 38 (3) : 1145-1160. doi: 10.3934/dcds.2018048 |
[15] |
Yves Coudène. The Hopf argument. Journal of Modern Dynamics, 2007, 1 (1) : 147-153. doi: 10.3934/jmd.2007.1.147 |
[16] |
Hong-Kun Zhang. Free path of billiards with flat points. Discrete & Continuous Dynamical Systems, 2012, 32 (12) : 4445-4466. doi: 10.3934/dcds.2012.32.4445 |
[17] |
Giovanni Panti. Billiards on pythagorean triples and their Minkowski functions. Discrete & Continuous Dynamical Systems, 2020, 40 (7) : 4341-4378. doi: 10.3934/dcds.2020183 |
[18] |
W. Patrick Hooper, Richard Evan Schwartz. Erratum: Billiards in nearly isosceles triangles. Journal of Modern Dynamics, 2014, 8 (1) : 133-137. doi: 10.3934/jmd.2014.8.133 |
[19] |
Richard Evan Schwartz. Unbounded orbits for outer billiards I. Journal of Modern Dynamics, 2007, 1 (3) : 371-424. doi: 10.3934/jmd.2007.1.371 |
[20] |
Sonja Cox, Arnulf Jentzen, Ryan Kurniawan, Primož Pušnik. On the mild Itô formula in Banach spaces. Discrete & Continuous Dynamical Systems - B, 2018, 23 (6) : 2217-2243. doi: 10.3934/dcdsb.2018232 |
2019 Impact Factor: 0.5
Tools
Metrics
Other articles
by authors
[Back to Top]