Equilibrium states of endomorphisms of \(\mathbb{P}^k\). I: Existence and properties
DOI10.1016/j.matpur.2023.01.007OpenAlexW4315798198MaRDI QIDQ2692134
Tien-Cuong Dinh, Fabrizio Bianchi
Publication date: 21 March 2023
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.04595
Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Plurisubharmonic functions and generalizations (32U05) Higher-dimensional holomorphic and meromorphic dynamics (37F80)
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Cites Work
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- On the dimension of invariant measures of endomorphisms of \({\mathbb{C}\mathbb{P}^k}\)
- Normalization of bundle holomorphic contractions and applications to dynamics
- Equidistribution speed for endomorphisms of projective spaces
- Lyapunov exponent and the distribution of the periodic points of an endomorphism of \(\mathbb {CP}^k\)
- On the entropy of holomorphic maps
- Large entropy measures for endomorphisms of \(\mathbb{CP}^k\)
- Stochastics and thermodynamics for equilibrium measures of holomorphic endomorphisms on complex projective spaces
- On the Lyapunov exponents of meromorphic maps.
- On the measures of large entropy on a positive closed current
- Large deviation principles for non-uniformly hyperbolic rational maps
- A Distortion Theorem for iterated inverse branches of holomorphic endomorphisms of Pk
- On the Perron-Frobenius-ruelle operator for rational maps on the riemann sphere and for Hölder continuous functions
- On the Existence of Conformal Measures
- Convergence of the transfer operator for rational maps
- Hölder continuity property of filled-in Julia sets in $\mathbb \{C\}^n$
- On the transfer operator for rational functions on the Riemann sphere
- Equilibrium measures for holomorphic endomorphisms of complex projective spaces
- Dynamics in several complex variables: endomorphisms of projective spaces and polynomial-like mapping
- Statistical mechanics on a compact set with $Z^\nu $ action satisfying expansiveness and specification
- Ergodic theory of equilibrium states for rational maps
- Two characterizations of equilibrium measure of an endomorphism of \(P^k(\mathbb{C})\)
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