Isotriviality is equivalent to potential good reduction for endomorphisms of PN over function fields C Petsche, L Szpiro, M Tepper Journal of Algebra 322 (9), 3345-3365, 2009 | 53 | 2009 |
A dynamical pairing between two rational maps C Petsche, L Szpiro, T Tucker Transactions of the American Mathematical Society 364 (4), 1687-1710, 2012 | 37 | 2012 |
Global discrepancy and small points on elliptic curves M Baker, C Petsche International Mathematics Research Notices 2005 (61), 3791-3834, 2005 | 37 | 2005 |
Small rational points on elliptic curves over number fields C Petsche New York Journal of Mathematics 12, 257-268, 2006 | 29 | 2006 |
S‐integral preperiodic points for dynamical systems over number fields C Petsche Bulletin of the London Mathematical Society 40 (5), 749-758, 2008 | 22 | 2008 |
A quantitative version of Bilu's equidistribution theorem C Petsche International Journal of Number Theory 1 (02), 281-291, 2005 | 19 | 2005 |
Abelian extensions in dynamical Galois theory J Andrews, C Petsche Algebra & Number Theory 14 (7), 1981-1999, 2020 | 15 | 2020 |
Critically separable rational maps in families C Petsche Compositio Mathematica 148 (6), 1880-1896, 2012 | 14 | 2012 |
Energy integrals over local fields and global height bounds P Fili, C Petsche International Mathematics Research Notices 2015 (5), 1278-1294, 2015 | 13 | 2015 |
On the distribution of orbits in affine varieties C Petsche Ergodic Theory and Dynamical Systems 35 (7), 2231-2241, 2015 | 12 | 2015 |
Nonarchimedean equidistribution on elliptic curves with global applications C Petsche Pacific journal of mathematics 242 (2), 345-375, 2009 | 10 | 2009 |
A dynamical construction of small totally p-adic algebraic numbers C Petsche, E Stacy Journal of Number Theory 202, 27-36, 2019 | 8 | 2019 |
On quadratic rational maps with prescribed good reduction C Petsche, B Stout Proceedings of the American Mathematical Society 143 (3), 1145-1158, 2015 | 8 | 2015 |
The distribution of Galois orbits of low height C Petsche | 7 | 2003 |
Global minimal models for endomorphisms of projective space C Petsche, B Stout Journal de théorie des nombres de Bordeaux 26 (3), 813-823, 2014 | 6 | 2014 |
The height of algebraic units in local fields CJ Petsche preprint, 2003 | 6 | 2003 |
Energy integrals and small points for the Arakelov height P Fili, C Petsche, I Pritsker Archiv der Mathematik 109, 441-454, 2017 | 5 | 2017 |
Totally real algebraic integers in short intervals, Jacobi polynomials, and unicritical families in arithmetic dynamics C Noytaptim, C Petsche Bulletin of the London Mathematical Society 56 (1), 364-379, 2024 | 4 | 2024 |
Non-Archimedean Henon maps, attractors, and horseshoes K Allen, D DeMark, C Petsche arXiv preprint arXiv:1610.04271, 2016 | 4 | 2016 |
A criterion for weak convergence on Berkovich projective space C Petsche Mathematische Annalen 348 (2), 449-465, 2010 | 4 | 2010 |