Add to ORKGWe study the dynamics of the map endomorphism of N-dimensional projective space defined by f(X)=AX^d, where A is a matrix and d is at least 2. When d>N^2+N+1, we show that the critical height of such a morphism is comparable to its height in moduli space, confirming a case of a natural generalization of a conjecture of Silverman.Comment: (minor revisions
Rational functions of degree d > 1 in one variable are parametrized by a quasi-projective variety. F...
Let K be a number field and v a non archimedean valuation on K. We say that an endomorphism $\Phi:\m...
We introduce a generalization of the McMullen family f_(z) = z^n /zd^. In 1988 C. McMullen showed th...
We prove that among nonlinear endomorphisms of the projective plane, those with a periodic critical ...
Let f : Pn → Pn be a morphism of degree d ≥ 2. The map f is said to be post-critically finite (PCF) ...
In this thesis, I study the dynamics of endomorphisms of the complex projective space. I am interest...
We prove a dynamical analogue of the Shafarevich conjecture for morphisms $f:\mathbb{P}_K^N\to\mathb...
We establish the existence and uniqueness of rational conformal maps of minimal degree $n+1$ for ope...
In the context of holomorphic families of endomorphisms of $\mathbb P^k$, we prove that stability in...
In this paper we will give a short and elementary proof that critical relations unfold transversally...
27 pages, 4 figuresA holomorphic endomorphism of CP n is post-critically algebraic if its critical h...
This thesis studies the space of morphisms on Pn defined by polynomials of degree d and its quotient...
27 pages, 4 figuresA holomorphic endomorphism of CP n is post-critically algebraic if its critical h...
27 pages, 4 figuresA holomorphic endomorphism of CP n is post-critically algebraic if its critical h...
Rational functions of degree d > 1 in one variable are parametrized by a quasi-projective variety. F...
Rational functions of degree d > 1 in one variable are parametrized by a quasi-projective variety. F...
Let K be a number field and v a non archimedean valuation on K. We say that an endomorphism $\Phi:\m...
We introduce a generalization of the McMullen family f_(z) = z^n /zd^. In 1988 C. McMullen showed th...
We prove that among nonlinear endomorphisms of the projective plane, those with a periodic critical ...
Let f : Pn → Pn be a morphism of degree d ≥ 2. The map f is said to be post-critically finite (PCF) ...
In this thesis, I study the dynamics of endomorphisms of the complex projective space. I am interest...
We prove a dynamical analogue of the Shafarevich conjecture for morphisms $f:\mathbb{P}_K^N\to\mathb...
We establish the existence and uniqueness of rational conformal maps of minimal degree $n+1$ for ope...
In the context of holomorphic families of endomorphisms of $\mathbb P^k$, we prove that stability in...
In this paper we will give a short and elementary proof that critical relations unfold transversally...
27 pages, 4 figuresA holomorphic endomorphism of CP n is post-critically algebraic if its critical h...
This thesis studies the space of morphisms on Pn defined by polynomials of degree d and its quotient...
27 pages, 4 figuresA holomorphic endomorphism of CP n is post-critically algebraic if its critical h...
27 pages, 4 figuresA holomorphic endomorphism of CP n is post-critically algebraic if its critical h...
Rational functions of degree d > 1 in one variable are parametrized by a quasi-projective variety. F...
Rational functions of degree d > 1 in one variable are parametrized by a quasi-projective variety. F...
Let K be a number field and v a non archimedean valuation on K. We say that an endomorphism $\Phi:\m...
We introduce a generalization of the McMullen family f_(z) = z^n /zd^. In 1988 C. McMullen showed th...