Publications

• Totally real algebraic integers in short intervals, Jacobi polynomials, and unicritical families in arithmetic dynamics
  Chatchai Noytaptim and Clayton Petsche
  Submitted for publication
  (arxiv)
• Non-Archimedean Koksma inequalities, variation, and Fourier analysis
  Clayton Petsche and Naveen Somasunderam
  Uniform Distribution Theory Vol. 17 (2022), no.2, 21–50
  (journal) (arxiv)
• Totally T-adic functions of small height
  Xander Faber and Clayton Petsche
  Rendiconti Lincei Matematica e Applicazioni, Vol. 31 (4), (2020), 699–732
  (journal) (arxiv)
• Abelian extensions in dynamical Galois theory
  Jesse Andrews and Clayton Petsche
  Algebra and Number Theory, Vol. 14 (2020), No. 7, 1981–1999
  (journal) (arxiv)
• Attractors associated to a family of hyperbolic p-adic plane automorphisms
  Clayton Petsche
  Ergodic Theory and Dynamical Systems, Vol. 41 (2020), No. 6
  (journal) (arxiv)
A dynamical construction of small totally p-adic algebraic numbers
Clayton Petsche and Emerald Stacy
Journal of Number Theory, Vol. 202 (2019) 27-36
(journal) (arxiv)
A Dirichlet approximation theorem for group actions
Clayton Petsche and Jeffrey D. Vaaler
Functiones et Approximatio Commentarii Mathematici, Vol. 60, No. 2 (2019) 263-275
(journal) (arxiv)
Non-Archimedean Hénon maps, attractors, and horseshoes
Kenneth Allen, David DeMark, and Clayton Petsche
Research in Number Theory, Vol. 4 Issue 1 (2018)
(journal) (arxiv)
Energy integrals and small points for the Arakelov height
Paul Fili, Clayton Petsche, and Igor Pritsger
Archiv der Mathematik, Vol. 109 (2017), 441–454
(journal) (arxiv)
A p-adic Perron-Frobenius theorem
Robert Costa, Patrick Dynes, and Clayton Petsche
Acta Arithmetica Vol. 174 (2016), 175-188
(journal) (arxiv)
On the distribution of orbits in affine varieties
Clayton Petsche
Ergodic Theory and Dynamical Systems, Vol. 35 (2015), 2231-2241 (journal) (arxiv)
Energy integrals over local fields and global height bounds
Paul Fili and Clayton Petsche
International Mathematics Research Notices, Vol. 2015 (2015) 1278-1294
(journal) (arxiv)
On quadratic rational maps with prescribed good reduction
Clayton Petsche and Brian Stout
Proceedings of the American Mathematical Society, Vol. 143 (2015), 1145-1158
(journal) (arxiv)
Global minimal models for endomorphisms of projective space
Clayton Petsche and Brian Stout
Journal de Théorie des Nombres de Bordeaux, Vol. 26 no. 3 (2014), p. 813-823
(journal) (arxiv)
Critically separable rational maps in families
Clayton Petsche
Compositio Mathematica, Vol. 148, Iss. 06 (2012), 1880-1896
(journal) (arxiv)
A dynamical pairing between two rational maps
Clayton Petsche, Lucien Szpiro, and Thomas J. Tucker
Transactions of the American Mathematical Society, Vol. 364 (2012), 1687-1710
(journal) (arxiv)
A criterion for weak convergence on Berkovich projective space
Clayton Petsche
Mathematische Annalen, Vol. 348 Iss. 2 (2010) 449-465
(journal) (arxiv)
Isotriviality is equivalent to potential good reduction for endomorphisms of P^N over function fields
Clayton Petsche, Lucien Szpiro and Michael Tepper
Journal of Algebra, Vol. 322 Iss. 9 (2009) 3345-3365
(journal) (arxiv)
Non-archimedean equidistribution on elliptic curves with global applications
Clayton Petsche
Pacific Journal of Mathematics, Vol. 242 No. 2 (2009) 345-375
(journal) (arxiv)
S-integral preperiodic points for dynamical systems over number fields
Clayton Petsche
Bulletin of the London Mathematical Society, Vol. 40 No. 5 (2008) 749-758
(journal) (arxiv)
Small rational points on elliptic curves over number fields
Clayton Petsche
New York Journal of Mathematics, Vol. 12 (2006) 257-268
(journal) (arxiv)
Global discrepancy and small points on elliptic curves
Matthew Baker and Clayton Petsche
International Mathematics Research Notices, Vol. 61 (2005) 3791-3834
(journal) (arxiv)
A quantitative version of Bilu's equidistribution theorem
Clayton Petsche
International Journal of Number Theory, 1 (2) 2005, 281-291
(journal)
Unpublished—The height of algebraic units in local fields
Clayton Petsche
Preprint (2003) (PDF)
Doctoral Dissertation—The distribution of Galois orbits of low height
Clayton Petsche.
Advisor: Jeffrey Vaaler
The University of Texas at Austin (2003)
(UT Library)