Add to ORKGto appear in Proceedings of the AMSGiven a sequence of complex numbers ρ_n, we study the asymptotic distribution of the sets of parameters c ∈ C such that the quadratic maps z^2 +c has a cycle of period n and multiplier ρ_n. Assume 1/n.log|ρ_n| tends to L. If L ≤ log 2, they equidistribute on the boundary of the Mandelbrot set. If L > log 2 they equidistribute on the equipotential of the Mandelbrot set of level 2L − 2 log 2
2 denote the moduli space of holomorphic conjugacy classes of quadratic rational maps on Ĉ. Let Per...
In this thesis, we examine several arithmetic questions concerning the periodic points and multiplie...
AbstractWe study the map Ψ:C2→C2 defined by Ψ(w, z)=(z, z+w2) and the associated collection of seque...
to appear in Proceedings of the AMSGiven a sequence of complex numbers ρ_n, we study the asymptotic ...
International audienceIn the space of degree d polynomials, the hypersurfaces defined by the existen...
Abstract. We prove that Misiurewicz parameters with prescribed combinatorics and hyperbolic paramete...
In this paper we study the distribution in the arithmetic progressions (modulo a product of tqo prim...
International audienceFor a system of Laurent polynomials f1 , . . . , fn ∈ C[x_1^±1 , . . . , x_n^±...
AbstractThis paper deals with the quadratic congruential method for generating uniform pseudorandom ...
Modified third section. Some results of Section 3 have been made more precise. Minor errors correcte...
The generalisation of questions of the classic arithmetic has long been of interest. One line of que...
AbstractWe consider a number of combinatorial problems in which rational generating functions may be...
Abstract. For a system of Laurent polynomials f1,..., fn ∈ C[x±11,..., x±1n] whose coefficients are ...
In one dimensional complex dynamics, the study of the parameter space of the quadratic family fc(z) ...
We study the logarithm of the least common multiple of the sequence of integers given by 12 + 1, 2 2...
2 denote the moduli space of holomorphic conjugacy classes of quadratic rational maps on Ĉ. Let Per...
In this thesis, we examine several arithmetic questions concerning the periodic points and multiplie...
AbstractWe study the map Ψ:C2→C2 defined by Ψ(w, z)=(z, z+w2) and the associated collection of seque...
to appear in Proceedings of the AMSGiven a sequence of complex numbers ρ_n, we study the asymptotic ...
International audienceIn the space of degree d polynomials, the hypersurfaces defined by the existen...
Abstract. We prove that Misiurewicz parameters with prescribed combinatorics and hyperbolic paramete...
In this paper we study the distribution in the arithmetic progressions (modulo a product of tqo prim...
International audienceFor a system of Laurent polynomials f1 , . . . , fn ∈ C[x_1^±1 , . . . , x_n^±...
AbstractThis paper deals with the quadratic congruential method for generating uniform pseudorandom ...
Modified third section. Some results of Section 3 have been made more precise. Minor errors correcte...
The generalisation of questions of the classic arithmetic has long been of interest. One line of que...
AbstractWe consider a number of combinatorial problems in which rational generating functions may be...
Abstract. For a system of Laurent polynomials f1,..., fn ∈ C[x±11,..., x±1n] whose coefficients are ...
In one dimensional complex dynamics, the study of the parameter space of the quadratic family fc(z) ...
We study the logarithm of the least common multiple of the sequence of integers given by 12 + 1, 2 2...
2 denote the moduli space of holomorphic conjugacy classes of quadratic rational maps on Ĉ. Let Per...
In this thesis, we examine several arithmetic questions concerning the periodic points and multiplie...
AbstractWe study the map Ψ:C2→C2 defined by Ψ(w, z)=(z, z+w2) and the associated collection of seque...