Affine mappings of translation surfaces: geometry and arithmetic E Gutkin, C Judge Duke Mathematical Journal 103, 191-213, 2000 | 225 | 2000 |

Billiards in polygons: survey of recent results E Gutkin Journal of statistical physics 83 (1), 7-26, 1996 | 191 | 1996 |

Billiards in polygons E Gutkin Physica D: Nonlinear Phenomena 19 (3), 311-333, 1986 | 182 | 1986 |

Billiards on almost integrable polyhedral surfaces E Gutkin Ergodic Theory and Dynamical Systems 4, 569-584, 1984 | 95 | 1984 |

Billiard dynamics: a survey with the emphasis on open problems E Gutkin Regular and Chaotic Dynamics 8 (1), 1-13, 2003 | 90 | 2003 |

Dual polygonal billiards and necklace dynamics E Gutkin, N Simányi Communications in mathematical physics 143 (3), 431-449, 1992 | 89 | 1992 |

Caustics for inner and outer billiards E Gutkin, A Katok Communications in mathematical physics 173 (1), 101-133, 1995 | 75 | 1995 |

The geometry and arithmetic of translation surfaces with applications to polygonal billiards E Gutkin, C Judge Mathematical Research Letters 3, 391-404, 1996 | 73 | 1996 |

Convexity of the joint numerical range: topological and differential geometric viewpoints E Gutkin, EA Jonckheere, M Karow Linear algebra and its applications 376, 143-171, 2004 | 69 | 2004 |

Topological entropy of polygon exchange transformations and polygonal billiards E Gutkin, N Haydn Ergodic Theory and Dynamical Systems 17 (4), 849-867, 1997 | 59 | 1997 |

Billiards in Finsler and Minkowski geometries E Gutkin, S Tabachnikov Journal of Geometry and Physics 40 (3), 277-301, 2002 | 47 | 2002 |

Hyperbolic billiards on surfaces of constant curvature B Gutkin, U Smilansky, E Gutkin Communications in mathematical physics 208 (1), 65-90, 1999 | 45 | 1999 |

Integrable systems with delta-potential E Gutkin Duke Mathematical Journal 49 (1), 1-21, 1982 | 45 | 1982 |

Affine diffeomorphisms of translation surfaces: Periodic points, Fuchsian groups, and arithmeticity E Gutkin, P Hubert, TA Schmidt Annales Scientifiques de l’École Normale Supérieure 36 (6), 847-866, 2003 | 42 | 2003 |

Directional flows and strong recurrence for polygonal billiards E Gutkin, S Troubetzkoy International Conference on Dynamical Systems (Montevideo, 1995), Pitman Res …, 1997 | 41 | 1997 |

Topological entropy of generalized polygon exchanges E Gutkin, N Haydn Bulletin of the American Mathematical Society 32 (1), 50-56, 1995 | 38 | 1995 |

Billiard dynamics: An updated survey with the emphasis on open problems E Gutkin Chaos: An Interdisciplinary Journal of Nonlinear Science 22, 026116-1 …, 2012 | 37 | 2012 |

Differential topology of numerical range EA Jonckheere, F Ahmad, E Gutkin Linear algebra and its applications 279 (1), 227-254, 1998 | 37 | 1998 |

Propagation of chaos and the Burgers equation E Gutkin, M Kac SIAM Journal on Applied Mathematics 43 (4), 971-980, 1983 | 37 | 1983 |

Complexity of piecewise convex transformations in two dimensions, with applications to polygonal billiards on surfaces of constant curvature E Gutkin, S Tabachnikov Moscow Mathematical Journal 6, 673-701, 2006 | 33* | 2006 |