[PDF][PDF] Propriétés ergodiques des applications rationnelles

V Guedj - Quelques aspects des systèmes dynamiques …, 2010 - perso.univ-rennes1.fr
Résumé Soit f: X→ X une transformation rationnelle d'une variété projective complexe
compacte. Nous étudions la dynamique d'une telle application d'un point de vue statistique …

Degree growth of matrix inversion: birational maps of symmetric, cyclic matrices

E Bedford, K Kim - arXiv preprint math/0512507, 2005 - arxiv.org
We consider two (densely defined) involutions on the space of $ q\times q $ matrices; $ I (x_
{ij}) $ is the matrix inverse of $(x_ {ij}) $, and $ J (x_ {ij}) $ is the matrix whose $ ij $ th entry is …

Dynamics of meromorphic mappings with small topological degree II: Energy and invariant measure.

J Diller, R Dujardin, V Guedj - Commentarii Mathematici Helvetici, 2011 - ems.press
We continue our study of the dynamics of meromorphic mappings with small topological
degree 2. f/< 1. f/on a compact Kähler surface X. Under general hypotheses we are able to …

Dynamics of meromorphic maps with small topological degree I: from cohomology to currents

J Diller, R Dujardin, V Guedj - Indiana University mathematics journal, 2010 - JSTOR
We consider the dynamics of a meromorphic map on a compact Kähler surface whose
topological degree is smaller than its first dynamical degree. The latter quantity is the …

Smooth and rough positive currents

S Filip, V Tosatti - Annales de l'Institut Fourier, 2018 - numdam.org
We study the different notions of semipositivity for (1, 1) cohomology classes on K3 surfaces.
We first show that every big and nef class (and every nef and rational class) is semiample …

Dynamics of (pseudo) automorphisms of 3-space: periodicity versus positive entropy

E Bedford, K Kim - 2014 - projecteuclid.org
We study the iteration of the family of maps given by 3-step linear fractional recurrences.
This family was studied earlier from the point of view of finding periodicities. In this paper we …

[图书][B] Quelques aspects des systèmes dynamiques polynomiaux

S Cantat, A Chambert-Loir, V Guedj - 2010 - smf.emath.fr
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 …

Green currents for meromorphic maps of compact Kähler manifolds

T Bayraktar - Journal of Geometric Analysis, 2013 - Springer
Green Currents for Meromorphic Maps of Compact Kähler Manifolds | SpringerLink Skip to
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Continuous approximation of quasiplurisubharmonic functions

P Eyssidieux, V Guedj, A Zeriahi - Cont. Math, 2015 - books.google.com
Let X be a compact Kähler manifold and θ a smooth closed (1, 1)-real form representing a
big cohomology class α∈ H1, 1 (X, R). The purpose of this note is to show, using …

The simplicity of the first spectral radius of a meromorphic map

TT Truong - Michigan Math. J, 2014 - projecteuclid.org
The Simplicity of the First Spectral Radius of a Meromorphic Map Page 1 Michigan Math. J. 63
(2014), 623–633 The Simplicity of the First Spectral Radius of a Meromorphic Map TUYEN …