International audienceWe find good dynamical compactifications for arbitrary polynomial mappings of C^2 and use them to show that the degree growth sequence satisfies a linear integral recursion formula. For maps of low topological degree we prove that the Green function is well behaved. For maps of maximum topological degree, we give normal forms
Given a matrix = ( & \\\\ & ) in 2(), we can define its associated monomial map _ ^2 ^2 as fol...
The ultimate goal of this thesis is to present how the Stone–Čech Compactification can be used to ca...
Let f: X → X be a rational mapping in higher dimension. The complexity of (f,X) as a dynamical syste...
Abstract. The dynamical degrees of a rational map f: X 99K X are fundamental invariants describing t...
Abstract. We study canonical heights for plane polynomial mappings of small topological degree. In p...
We study canonical heights for plane polynomial mappings of small topological degree. In particul...
The dynamical degrees of a rational map f: X 99K X are fundamental invariants describing the rate of...
We study canonical heights for plane polynomial mappings of small topological degree. In partic...
Let f:S^2 —> S^2 be a postcritically finite branched covering from the 2-sphere to itself with postc...
Let f:S^2 —> S^2 be a postcritically finite branched covering from the 2-sphere to itself with postc...
We study the dynamics of polynomial self mappings f of [inline-graphic xmlns:xlink="http://www.w3.or...
This work dynamically classifies a 9-parametric family of birational maps f: C→ C. From the sequence...
In this thesis we introduce a compactification of families of rational maps dynamically marked of de...
In this thesis we introduce a compactification of families of rational maps dynamically marked of de...
This dissertation addresses three different problems in the study of discrete dynamical systems. Fi...
Given a matrix = ( & \\\\ & ) in 2(), we can define its associated monomial map _ ^2 ^2 as fol...
The ultimate goal of this thesis is to present how the Stone–Čech Compactification can be used to ca...
Let f: X → X be a rational mapping in higher dimension. The complexity of (f,X) as a dynamical syste...
Abstract. The dynamical degrees of a rational map f: X 99K X are fundamental invariants describing t...
Abstract. We study canonical heights for plane polynomial mappings of small topological degree. In p...
We study canonical heights for plane polynomial mappings of small topological degree. In particul...
The dynamical degrees of a rational map f: X 99K X are fundamental invariants describing the rate of...
We study canonical heights for plane polynomial mappings of small topological degree. In partic...
Let f:S^2 —> S^2 be a postcritically finite branched covering from the 2-sphere to itself with postc...
Let f:S^2 —> S^2 be a postcritically finite branched covering from the 2-sphere to itself with postc...
We study the dynamics of polynomial self mappings f of [inline-graphic xmlns:xlink="http://www.w3.or...
This work dynamically classifies a 9-parametric family of birational maps f: C→ C. From the sequence...
In this thesis we introduce a compactification of families of rational maps dynamically marked of de...
In this thesis we introduce a compactification of families of rational maps dynamically marked of de...
This dissertation addresses three different problems in the study of discrete dynamical systems. Fi...
Given a matrix = ( & \\\\ & ) in 2(), we can define its associated monomial map _ ^2 ^2 as fol...
The ultimate goal of this thesis is to present how the Stone–Čech Compactification can be used to ca...
Let f: X → X be a rational mapping in higher dimension. The complexity of (f,X) as a dynamical syste...
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