Suites d’Applications Méromorphes Multivaluées et Courants Laminaires

By T. Dinh. 2005

76 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/74d7e990e7486acec387f807d083f4ca1a0fc744

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In Applied Mathematics

In Geometry and Topology

Citations in the corpus

Rigidity of Julia sets for Henon type maps (2013, background): “The following lemma is essentially obtained in [20], see also [31].”
Dynamical stability and Lyapunov exponents for holomorphic endomorphisms of CP(k) (2014, background): “ability measure M on O M,Pk and in particular for any equilibrium web we can deﬁne the current WM := Z [Γγ] dM(γ). It has bidimension (m,m) on M×Pk and is a woven current following Dinh’s terminology [Di2]. To construct equilibrium laminations, it will be crucial to deal with equilibrium webs giving”
Pull-back of currents by holomorphic maps (2006, background): “Meromorphic transforms (MT for short) were considered in [14] in order to treat with the same method different problems in dynamics and in the study of distribution of varieties (see also [7, 8]).”
Dynamics of meromorphic maps with small topological degree III: geometric currents and ergodic theory (2008, background): “To give the idea for the rest of the proof, we first consider a model situation: imagine a single disk D which admits a partition into λn1 pieces Di such that f n( Di ) has area greater than α. Then f n(D) = S f n(Di) has area greater than αλn1 /λn2 because”
Green currents for holomorphic automorphisms of compact Kähler manifolds (2004, background): “If X is projective, the first author has proved that Tm is weakly laminar [12].”
Dynamics of automorphisms on projective complex manifolds (2008, methodology): “Then g|X is of positive entropy by looking at the Künneth formula for H2(X, C) as in GriffithsHarris [17] page 58; see also [8] Proposition 5.”
Equidistribution problems of complex dynamics in higher dimension (2016, background): “This can be explained by the following inequality obtained by the first author in [17]”
Dynamics of regular birational maps in P^k (2004, background): “In [5], the first named author proved that T s + and T k−s − are weakly laminar (see [2] for Hénon maps).”