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Clayton Petsche
Clayton Petsche
Department of Mathematics, Oregon State University
Verified email at math.oregonstate.edu - Homepage
Title
Cited by
Cited by
Year
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
512009
A dynamical pairing between two rational maps
C Petsche, L Szpiro, T Tucker
Transactions of the American Mathematical Society 364 (4), 1687-1710, 2012
362012
Global discrepancy and small points on elliptic curves
M Baker, C Petsche
International Mathematics Research Notices 2005 (61), 3791-3834, 2005
352005
Small rational points on elliptic curves over number fields
C Petsche
New York Journal of Mathematics 12, 257-268, 2006
282006
S‐integral preperiodic points for dynamical systems over number fields
C Petsche
Bulletin of the London Mathematical Society 40 (5), 749-758, 2008
212008
A quantitative version of Bilu's equidistribution theorem
C Petsche
International Journal of Number Theory 1 (02), 281-291, 2005
172005
Critically separable rational maps in families
C Petsche
Compositio Mathematica 148 (6), 1880-1896, 2012
142012
On the distribution of orbits in affine varieties
C Petsche
Ergodic Theory and Dynamical Systems 35 (7), 2231-2241, 2015
132015
Energy integrals over local fields and global height bounds
P Fili, C Petsche
International Mathematics Research Notices 2015 (5), 1278-1294, 2015
122015
Abelian extensions in dynamical Galois theory
J Andrews, C Petsche
Algebra & Number Theory 14 (7), 1981-1999, 2020
102020
Nonarchimedean equidistribution on elliptic curves with global applications
C Petsche
Pacific journal of mathematics 242 (2), 345-375, 2009
92009
On quadratic rational maps with prescribed good reduction
C Petsche, B Stout
Proceedings of the American Mathematical Society 143 (3), 1145-1158, 2015
82015
A dynamical construction of small totally p-adic algebraic numbers
C Petsche, E Stacy
Journal of Number Theory 202, 27-36, 2019
72019
The distribution of Galois orbits of low height
C Petsche
72003
Energy integrals and small points for the Arakelov height
P Fili, C Petsche, I Pritsker
Archiv der Mathematik 109, 441-454, 2017
62017
Global minimal models for endomorphisms of projective space
C Petsche, B Stout
Journal de théorie des nombres de Bordeaux 26 (3), 813-823, 2014
62014
The height of algebraic units in local fields
CJ Petsche
preprint, 2003
62003
Non-Archimedean Henon maps, attractors, and horseshoes
K Allen, D DeMark, C Petsche
arXiv preprint arXiv:1610.04271, 2016
42016
A criterion for weak convergence on Berkovich projective space
C Petsche
Mathematische Annalen 348 (2), 449-465, 2010
42010
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
22024
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