Periodicities in Linear Fractional Recurrences: Degree Growth of Birational Surface Maps
Page 1 Michigan Math. J. 54 (2006) Periodicities in Linear Fractional Recurrences: Degree …

We consider the family fa, b (x, y)=(y,(y+ a)/(x+ b)) of birational maps of the plane and the
parameter values (a, b) for which fa, b gives an automorphism of a rational surface. In …

We study the dynamics of a bimeromorphic map X→ X, where X is a compact complex
Kähler surface. Under a natural geometric hypothesis, we construct an invariant probability …

Given a birational self-map of a compact complex surface, it is useful to find an invariant
measure that relates the dynamics of the map to its action on cohomology. Under a very …

We classify invariant curves for birational surface maps that are expanding on cohomology.
When the expansion is exponential, the arithmetic genus of an invariant curve is at most …

We investigate the root finding algorithm given by the secant method applied to a real
polynomial p as a discrete dynamical system defined on. We study the shape and …

In this paper we address the problem of computing $\text {deg}(f^ n) $, the degrees of
iterates of a birational map $ f:\mathbb {P}^ N\rightarrow\mathbb {P}^ N $. For this goal, we …

Ce volume regroupe quatre articles concernant l'itération des transformations polynomiales
ou rationnelles des variétés projectives. Le but n'est pas d'établir un panorama global de la …

In a classical work of the 1950's, Lee and Yang proved that the zeros of the partition
functions of a ferromagnetic Ising model always lie on the unit circle. Distribution of these …

arXiv:0711.1186v2 [math.DS] 9 Nov 2007 Page 1 arXiv:0711.1186v2 [math.DS] 9 Nov 2007
Degree Complexity of a Family of Birational Maps Eric Bedford*, Kyounghee Kim, Truong Trung …