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

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dc.creatorDujardin, Romain
dc.date2006-08-23
dc.date.accessioned2026-07-07T07:22:04Z
dc.date.available2026-07-07T07:22:04Z
dc.descriptionWe 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 1-dimensional map.
dc.identifierhttps://arxiv.org/abs/math/0608583
dc.identifierhttp://arxiv.org/abs/math/0608583
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115531
dc.subjectDynamical Systems
dc.subjectComplex Variables
dc.subject37f45;37f10
dc.titleContinuity of Lyapunov exponents for polynomial automorphisms of $\mathbb{C}^2$
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