The size of semigroup orbits modulo primes

W Hindes, JH Silverman - Pacific Journal of Mathematics, 2023 - msp.org
Let V be a projective variety defined over a number field K, let S be a polarized set of
endomorphisms of V all defined over K, and let P∈ V (K). For each prime 𝔭 of K, let m 𝔭 (S …

Counting points of bounded height in monoid orbits

W Hindes - Mathematische Zeitschrift, 2022 - Springer
Given a set of endomorphisms on PN, we establish an upper bound on the number of points
of bounded height in the associated monoid orbits. Moreover, we give a more refined …

Irreducible polynomials in quadratic semigroups

W Hindes, R Jacobs, P Ye - Journal of Number Theory, 2023 - Elsevier
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Counting points by height in semigroup orbits

JP Bell, W Hindes, X Zhong - arXiv preprint arXiv:2305.04960, 2023 - arxiv.org
We improve known estimates for the number of points of bounded height in semigroup orbits
of polarized dynamical systems. In particular, we give exact asymptotics for generic …

Functional equations in polynomials

Z Jiang, ME Zieve - arXiv preprint arXiv:2008.09554, 2020 - arxiv.org
arXiv:2008.09554v2 [math.DS] 24 Aug 2020 Page 1 FUNCTIONAL EQUATIONS IN
POLYNOMIALS ZHAN JIANG AND MICHAEL E. ZIEVE Abstract. We determine all F, G ∈ C[X] …

Semigroups of rational functions: some problems and conjectures

F Pakovich - arXiv preprint arXiv:2110.01507, 2021 - arxiv.org
arXiv:2110.01507v2 [math.DS] 23 Feb 2022 Page 1 arXiv:2110.01507v2 [math.DS] 23 Feb
2022 SEMIGROUPS OF RATIONAL FUNCTIONS: SOME PROBLEMS AND …

An inner product on adelic measures

PJ Oberly - 2023 - ir.library.oregonstate.edu
We define an inner product on a vector space of adelic measures over a number field $ K $.
We find that the norm induced by this inner product governs weak convergence at each …

[PDF][PDF] Bibliography for Arithmetic Dynamics

JH Silverman - 2022 - math.brown.edu
This document lists a wide variety of articles and books in the area of arithmetic dynamics,
together with some miscellaneous articles and books in arithmetic geoemtry. It also includes …