Continuity of Lyapunov exponents for polynomial automorphisms of $\mathbb{C}^2$

• Autores: Romain Dujardin
• Localización: Ergodic theory and dynamical systems, ISSN 0143-3857, Vol. 27, Nº 4, 2007, págs. 1111-1133
• Idioma: inglés
• DOI: 10.1017/s0143385706001052
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• Resumen

  • We prove two continuity theorems for the Lyapunov exponents of the maximal entropy measure of polynomial automorphisms of $\mathbb{C}^2$. The first continuity result holds for any family of polynomial automorphisms of constant dynamical degree. The second result is the continuity of the upper exponent for families degenerating to a one-dimensional map.