Geometric and arithmetic properties of the Hénon map
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Publication:1323400
DOI10.1007/BF02571713zbMath0807.58021MaRDI QIDQ1323400
Publication date: 28 February 1995
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/174611
Related Items (13)
Regular polynomial automorphisms in the space of planar quadratic rational maps ⋮ An upper bound for the height for regular affine automorphisms of \({\mathbb{A}^n}\). A height bound for regular affine automorphisms ⋮ The geometric dynamical Northcott property for regular polynomial automorphisms of the affine plane ⋮ GIT stability of Hénon maps ⋮ Unnamed Item ⋮ The equidistribution of small points for strongly regular pairs of polynomial maps ⋮ On the complex dynamics of birational surface maps defined over number fields ⋮ Dynamical degree, arithmetic entropy, and canonical heights for dominant rational self-maps of projective space ⋮ Canonical height functions for affine plane automorphisms ⋮ Unnamed Item ⋮ Non-Archimedean Hénon maps, attractors, and horseshoes ⋮ Canonical heights, invariant currents, and dynamical eigensystems of morphisms for line bundles ⋮ Noncommutative algebraic dynamics: ergodic theory for profinite groups
Cites Work
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- Homoclinic bifurcations and the area-conserving Henon mapping
- Shift automorphisms in the Henon mapping
- A two-dimensional mapping with a strange attractor
- Complex Hénon mappings in \({\mathbb{C}}^ 2\) and Fatou-Bieberbach domains
- Invariant sets of morphisms on projective and affine number spaces
- Polynomial diffeomorphisms of \({\mathbb C}^2\): Currents, equilibrium measure and hyperbolicity
- Periodic points, multiplicities, and dynamical units.
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