Linear recurrences in the degree sequences of monomial mappings

DOI10.1017/S0143385708000242zbMath1161.37032arXiv0710.1642MaRDI QIDQ3623575

Eric Bedford, Kyounghee Kim

Publication date: 21 April 2009

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.1642

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (10)

Algebraic stability and degree growth of monomial maps ⋮ Dynamical compactifications of \(\mathbb{C}^2\) ⋮ Stabilization of monomial maps ⋮ Stabilization of monomial maps in higher codimension ⋮ Seeking Darboux polynomials ⋮ Dynamical degree, arithmetic entropy, and canonical heights for dominant rational self-maps of projective space ⋮ Dynamical invariants of monomial correspondences ⋮ Current trends and open problems in arithmetic dynamics ⋮ Relative dynamical degree of monomial maps ⋮ Arithmetic exponents in piecewise-affine planar maps

Cites Work

• Monomial maps in two dimensions
• On the degree growth of birational mappings in higher dimension
• Dynamics of bimeromorphic maps of surfaces
• Value distribution for sequences of rational mappings and complex dynamics

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