A Mañé-Manning formula for expanding measures for endomorphisms of \(\mathbb{P}^k\)

Entropy and other invariants (28D20) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dimension theory of smooth dynamical systems (37C45) Higher-dimensional holomorphic and meromorphic dynamics (37F80)

Cites Work

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On the dimension of invariant measures of endomorphisms of \({\mathbb{C}\mathbb{P}^k}\)
The dimension of the maximal measure for a polynomial map
Smooth ergodic theory for endomorphisms
Invariant elliptic curves as attractors in the projective plane
Normalization of bundle holomorphic contractions and applications to dynamics
Hausdorff dimension of quasi-circles
Some relations between dimension and Lyapunov exponents
The limit set of a Fuchsian group
Dynamics of polynomial skew products on \(\mathbb{C}^2\)
Dimension and product structure of hyperbolic measures
Dynamics of polynomial-like mappings
Lyapunov exponent and the distribution of the periodic points of an endomorphism of \(\mathbb {CP}^k\)
Hausdorff dimension and conformal dynamics. II: Geometrically finite rational maps
Perturbations of examples of Lattès and Hausdorff dimension of bifurcation place
Dimension of the equilibrium measure of holomorphic maps
On the entropy of holomorphic maps
Large entropy measures for endomorphisms of \(\mathbb{CP}^k\)
The metric entropy of diffeomorphisms. II: Relations between entropy, exponents and dimension
Misiurewicz parameters and dynamical stability of polynomial-like maps of large topological degree
Stochastics and thermodynamics for equilibrium measures of holomorphic endomorphisms on complex projective spaces
On the Lyapunov exponents of meromorphic maps.
A characterization of Lattès endomorphisms by their Green measure
On the measures of large entropy on a positive closed current
Equilibrium states of endomorphisms of \(\mathbb{P}^k\). I: Existence and properties
A Distortion Theorem for iterated inverse branches of holomorphic endomorphisms of Pk
Lyapunov Characteristic Exponents are Nonnegative
On Sullivan's conformal measures for rational maps of the Riemann sphere
Dimension of ergodic measures and currents on
The Hausdorff Dimension of an Ergodic Invariant Measure for a Piecewise Monotonic Map of the Interval
Dimension, entropy and Lyapunov exponents
An inequality for the entropy of differentiable maps
A proof of Pesin's formula
On the Existence of Conformal Measures
Dynamical stability and Lyapunov exponents for holomorphic endomorphisms of CP(k)
Dimension type characteristics for invariant sets of dynamical systems
Repellers for real analytic maps
Equilibrium measures for holomorphic endomorphisms of complex projective spaces
Equilibrium states in dynamical systems via geometric measure theory
Bifurcations in the elementary Desboves family
Dynamics in several complex variables: endomorphisms of projective spaces and polynomial-like mapping
Elliptic Curves as Attractors in ℙ²Part 1: Dynamics
A general form of the covering principle and relative differentiation of additive functions
Equilibrium states and the ergodic theory of Anosov diffeomorphisms
Two characterizations of equilibrium measure of an endomorphism of \(P^k(\mathbb{C})\)
Equilibrium states of endomorphisms of \(\mathbb{P}^{k}\): spectral stability and limit theorems
Monotonicity of dynamical degrees for Hénon-like and polynomial-like maps
Strong probabilistic stability in holomorphic families of endomorphisms of \(\mathbb{P}^k (\mathbb{C})\) and polynomial-like maps

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