DEGENERATION OF ENDOMORPHISMS OF THE COMPLEX PROJECTIVE SPACE IN THE HYBRID SPACE
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Publication:3295454
DOI10.1017/S147474801800035XMaRDI QIDQ3295454
Publication date: 10 July 2020
Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1611.08490
equilibrium measuresholomorphic families of endomorphismshybrid spacesendomorphisms of the complex projective plane
Spaces of measures, convergence of measures (28A33) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Non-Archimedean analysis (32P05) Dynamical systems on Berkovich spaces (37P50) Holomorphic families of dynamical systems; holomorphic motions; semigroups of holomorphic maps (37F44)
Related Items (15)
Minimally critical regular endomorphisms of ⋮ Hybrid convergence of Kähler-Einstein measures ⋮ Regularity of push-forward of Monge-Ampère measures ⋮ Schottky spaces and universal Mumford curves over \(\mathbb{Z}\) ⋮ Toric Kato manifolds ⋮ Indeterminacy loci of iterate maps in moduli space ⋮ Hyperbolic components of rational maps: quantitative equidistribution and counting ⋮ Non-Archimedean integrals as limits of complex integrals ⋮ Global pluripotential theory on hybrid spaces ⋮ The space of finite-energy metrics over a degeneration of complex manifolds ⋮ Approximation of non-archimedean Lyapunov exponents and applications over global fields ⋮ Degeneration of quadratic polynomial endomorphisms to a Henon map ⋮ Tropical dynamics of area-preserving maps ⋮ Degenerations of \(\mathrm{SL}(2, \mathbb{C})\) representations and Lyapunov exponents ⋮ Common preperiodic points for quadratic polynomials
Cites Work
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- Degenerations of complex dynamical systems. II: Analytic and algebraic stability
- Bifurcations, intersections, and heights
- Bilder und Urbilder analytischer Garben
- Puiseux series polynomial dynamics and iteration of complex cubic polynomials
- Relative ampleness in rigid geometry
- Distribution of postcritically finite polynomials
- The Dirichlet problem for a complex Monge-Ampère equation
- Dynamics of rational maps: Lyapunov exponents, bifurcations, and capacity
- Dynamics of polynomial-like mappings
- Lyapunov exponent and the distribution of the periodic points of an endomorphism of \(\mathbb {CP}^k\)
- On Zhang's semipositive metrics
- Développement asymptotique des fonctions obtenues par intégration sur les fibres
- Brolin's equidistribution theorem in \(p\)-adic dynamics.
- Zariski-decomposition and abundance
- Oka's inequality for currents and applications
- Continuity of the Green function in meromorphic families of polynomials
- Tropical and non-Archimedean limits of degenerating families of volume forms
- Degenerations of \(\mathrm{SL}(2, \mathbb{C})\) representations and Lyapunov exponents
- Mahler measures and logarithmic equidistribution
- Hyperbolic components of rational maps: quantitative equidistribution and counting
- Quantitative approximations of the Lyapunov exponent of a rational function over valued fields
- The continuity of the fiber integral
- Singular semipositive metrics in non-Archimedean geometry
- The Non-Archimedean Monge–Ampère Equation
- Berkovich Skeleta and Birational Geometry
- La droite de Berkovich sur Z
- Heights and measures on analytic spaces. A survey of recent results, and some remarks
- Repelling periodic points and logarithmic equidistribution in non-archimedean dynamics
- Local heights of subvarieties over non-archimedean fields
- A Dynamical Variant of the André-Oort Conjecture
- Lower bounds for non-Archimedean Lyapunov exponents
- Discontinuity of a degenerating escape rate
- A Non-Archimedean Interpretation of the Weight Zero Subspaces of Limit Mixed Hodge Structures
- Dynamics of regular polynomial endomorphisms of C k [superscript]
- Solution to a non-Archimedean Monge-Ampère equation
- Bifurcation currents in holomorphic dynamics on
- Mesures et équidistribution sur les espaces de Berkovich
- Trees and the dynamics of polynomials
- Théorie ergodique des fractions rationnelles sur un corps ultramétrique
- Two characterizations of equilibrium measure of an endomorphism of \(P^k(\mathbb{C})\)
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