[引用][C] The Arithmetic of Dynamical Systems

JH Silverman - Graduate Texts in Mathematics, 2007 - books.google.com
This book is designed to provide a path for the reader into an amalgamation oftwo venerable
areas ofmathematics, Dynamical Systems and Number Theory. Many of the motivating …

[图书][B] Unit equations in Diophantine number theory

JH Evertse, K Győry - 2015 - books.google.com
Diophantine number theory is an active area that has seen tremendous growth over the past
century, and in this theory unit equations play a central role. This comprehensive treatment …

[PDF][PDF] Dynamique des fonctions rationnelles sur des corps locaux

J Rivera-Letelier - Astérisque, 2003 - numdam.org
Comme dans le cas complexe on a une partition de la droite P (CP) en l'ensemble de Fatou
et l'ensemble de Julia. Par analogie au cas complexe on fait la conjecture de non-errance …

[PDF][PDF] Questions on self maps of algebraic varieties

N Fakhruddin - arXiv preprint math/0212208, 2002 - arxiv.org
arXiv:math/0212208v1 [math.AG] 16 Dec 2002 Page 1 arXiv:math/0212208v1 [math.AG] 16 Dec
2002 QUESTIONS ON SELF MAPS OF ALGEBRAIC VARIETIES NAJMUDDIN FAKHRUDDIN 1 …

[PDF][PDF] Distributions in algebraic dynamics

SW Zhang - Surveys in differential geometry, 2005 - intlpress.com
The complex dynamic system is a subject to study iterations on P1 or PN with respect to
complex topology. It originated from the study of Newton method and the three body problem …

Cycles of quadratic polynomials and rational points on a genus-two curve

EV Flynn, B Poonen, EF Schaefer - arXiv preprint math/9508211, 1995 - arxiv.org
It has been conjectured that for $ N $ sufficiently large, there are no quadratic polynomials in
$\bold Q [z] $ with rational periodic points of period $ N $. Morton proved there were none …

[图书][B] The dynamical Mordell–Lang conjecture

JP Bell, D Ghioca, TJ Tucker - 2016 - books.google.com
The Dynamical Mordell-Lang Conjecture is an analogue of the classical Mordell-Lang
conjecture in the context of arithmetic dynamics. It predicts the behavior of the orbit of a point …

Current trends and open problems in arithmetic dynamics

R Benedetto, P Ingram, R Jones, M Manes… - Bulletin of the American …, 2019 - ams.org
Arithmetic dynamics is the study of number theoretic properties of dynamical systems. A
relatively new field, it draws inspiration partly from dynamical analogues of theorems and …

Periodic points, multiplicities, and dynamical units.

P Morton, JH Silverman - 1995 - degruyter.com
Let φ (z) e C [z] be a polynomial of degree at least 2. The fixed points of the iterates of φ
have been widely studied since the time of Julia and Fatou in order to analyze the dynamical …

Jordan property for groups of birational selfmaps

Y Prokhorov, C Shramov - Compositio Mathematica, 2014 - cambridge.org
COMPOSITIO MATHEMATICA Page 1 COMPOSITIO MATHEMATICA FOUNDATION
COMPOSITIO MATHEMATICA Jordan property for groups of birational selfmaps Yuri …