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 …

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 …

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 …

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 in the …

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 …

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 …

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 …

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 …

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 …

COMPOSITIO MATHEMATICA Page 1 COMPOSITIO MATHEMATICA FOUNDATION
COMPOSITIO MATHEMATICA Jordan property for groups of birational selfmaps Yuri …