Publications

• Non-abelian arboreal Galois groups associated to PCF rational maps
  Chifan Leung and Clayton Petsche
  Submitted for publication
  (arxiv)
• Totally real algebraic integers in short intervals, Jacobi polynomials, and unicritical families in arithmetic dynamics
  Chatchai Noytaptim and Clayton Petsche
  Bulletin of the London Mathematical Society (2023)
  (journal) (arxiv)
• Non-Archimedean Koksma inequalities, variation, and Fourier analysis
  Clayton Petsche and Naveen Somasunderam
  Uniform Distribution Theory (2022)
  (journal) (arxiv)
• Totally T-adic functions of small height
  Xander Faber and Clayton Petsche
  Rendiconti Lincei Matematica e Applicazioni (2020)
  (journal) (arxiv)
• Abelian extensions in dynamical Galois theory
  Jesse Andrews and Clayton Petsche
  Algebra and Number Theory (2020)
  (journal) (arxiv)
Attractors associated to a family of hyperbolic p-adic plane automorphisms
Clayton Petsche
Ergodic Theory and Dynamical Systems (2020)
(journal) (arxiv)
A dynamical construction of small totally p-adic algebraic numbers
Clayton Petsche and Emerald Stacy
Journal of Number Theory (2019)
(journal) (arxiv)
A Dirichlet approximation theorem for group actions
Clayton Petsche and Jeffrey D. Vaaler
Functiones et Approximatio Commentarii Mathematici (2019)
(journal) (arxiv)
Non-Archimedean Hénon maps, attractors, and horseshoes
Kenneth Allen, David DeMark, and Clayton Petsche
Research in Number Theory (2018)
(journal) (arxiv)
Energy integrals and small points for the Arakelov height
Paul Fili, Clayton Petsche, and Igor Pritsger
Archiv der Mathematik (2017)
(journal) (arxiv)
A p-adic Perron-Frobenius theorem
Robert Costa, Patrick Dynes, and Clayton Petsche
Acta Arithmetica (2016)
(journal) (arxiv)
On the distribution of orbits in affine varieties
Clayton Petsche
Ergodic Theory and Dynamical Systems (2015)
(journal) (arxiv)
Energy integrals over local fields and global height bounds
Paul Fili and Clayton Petsche
International Mathematics Research Notices (2015)
(journal) (arxiv)
On quadratic rational maps with prescribed good reduction
Clayton Petsche and Brian Stout
Proceedings of the American Mathematical Society (2015)
(journal) (arxiv)
Global minimal models for endomorphisms of projective space
Clayton Petsche and Brian Stout
Journal de Théorie des Nombres de Bordeaux (2014)
(journal) (arxiv)
Critically separable rational maps in families
Clayton Petsche
Compositio Mathematica (2012)
(journal) (arxiv)
A dynamical pairing between two rational maps
Clayton Petsche, Lucien Szpiro, and Thomas J. Tucker
Transactions of the American Mathematical Society (2012)
(journal) (arxiv)
A criterion for weak convergence on Berkovich projective space
Clayton Petsche
Mathematische Annalen (2010)
(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 (2009)
(journal) (arxiv)
Non-archimedean equidistribution on elliptic curves with global applications
Clayton Petsche
Pacific Journal of Mathematics (2009)
(journal) (arxiv)
S-integral preperiodic points for dynamical systems over number fields
Clayton Petsche
Bulletin of the London Mathematical Society (2008)
(journal) (arxiv)
Small rational points on elliptic curves over number fields
Clayton Petsche
New York Journal of Mathematics (2006)
(journal) (arxiv)
Global discrepancy and small points on elliptic curves
Matthew Baker and Clayton Petsche
International Mathematics Research Notices (2005)
(journal) (arxiv)
A quantitative version of Bilu's equidistribution theorem
Clayton Petsche
International Journal of Number Theory (2005)
(journal)
The height of algebraic units in local fields
Clayton Petsche
Unpublished preprint (2003)
(PDF)