Zobrazeno 1 - 10
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pro vyhledávání: '"Dinh, Tien-Cuong"'
Under a natural assumption on the dynamical degrees, we prove that the Green currents associated to any H\'enon-like map in any dimension have H\"older continuous super-potentials, i.e., give H\"older continuous linear functionals on suitable spaces
Externí odkaz:
http://arxiv.org/abs/2407.01984
Let $X$ be a compact Riemann surface and $\mathcal L$ be a positive line bundle on it. We study the conditional zero expectation of all the holomorphic sections of $\mathcal L^n$ which do not vanish on $D$ for some fixed open subset $D$ of $X$. We pr
Externí odkaz:
http://arxiv.org/abs/2402.11672
Autor:
Berger, Pierre, Bedford, Eric, Bianchi, Fabrizio, Buff, Xavier, Crovisier, Sylvain, Dinh, Tien-Cuong, Dujardin, Romain, Favre, Charles, Firsova, Tanya, Ingram, Patrick, Ishii, Yutaka, Palmisano, Liviana, Pujals, Enrique, Raissy, Jasmin, Štimac, Sonja, Vigny, Gabriel
We propose a set of questions on the dynamics of H\'enon maps from the real, complex, algebraic and arithmetic points of view.
Comment: 34 pages, 4 figures
Comment: 34 pages, 4 figures
Externí odkaz:
http://arxiv.org/abs/2312.03907
Autor:
Dinh, Tien-Cuong, Zhong, Guolei
Let $f\colon X\to X$ be a dominant meromorphic self-map of a compact complex variety $X$ in the Fujiki class $\mathcal{C}$. If the topological degree of $f$ is strictly larger than the other dynamical degrees of $f$, we show that the number of isolat
Externí odkaz:
http://arxiv.org/abs/2312.02533
Let $X$ be a compact K\"ahler manifold. We study subgroups $G \le \mathrm{Aut}(X)$ of biholomorphic automorphisms of zero entropy when $\mathrm{Aut}^0(X)$ is compact (e.g. when $\mathrm{Aut}^0(X)$ is trivial). We show that the virtual derived length
Externí odkaz:
http://arxiv.org/abs/2310.04980
We prove that, for every invertible horizontal-like map (i.e., H{\'e}non-like map) in any dimension, the sequence of the dynamical degrees is increasing until that of maximal value, which is the main dynamical degree, and decreasing after that. Simil
Externí odkaz:
http://arxiv.org/abs/2307.10665
Autor:
Bianchi, Fabrizio, Dinh, Tien-Cuong
We consider the unique measure of maximal entropy of an automorphism of a compact K{\"a}hler manifold with simple action on cohomology. We show that it is exponentially mixing of all orders with respect to H{\"o}lder observables. It follows that the
Externí odkaz:
http://arxiv.org/abs/2304.13335
Autor:
Bianchi, Fabrizio, Dinh, Tien-Cuong
We show that the measure of maximal entropy of every complex H\'enon map is exponentially mixing of all orders for H\''older observables. As a consequence, the Central Limit Theorem holds for all H\''older observables.
Externí odkaz:
http://arxiv.org/abs/2301.13535
Autor:
Dinh, Tien-Cuong, Wu, Hao
Let $f$ be a meromorphic correspondence on a compact K\"ahler manifold $X$ of dimension $k$. Assume that its topological degree is larger than the dynamical degree of order $k-1$. We obtain a quantitative regularity of the equilibrium measure of $f$
Externí odkaz:
http://arxiv.org/abs/2301.12786
The aim of this paper is twofold. First of all, we confirm a few basic criteria of the finiteness of real forms of a given smooth complex projective variety, in terms of the Galois cohomology set of the discrete part of the automorphism group, the co
Externí odkaz:
http://arxiv.org/abs/2210.04760