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01 February 2006 Laminar currents and birational dynamics
Romain Dujardin
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Duke Math. J. 131(2): 219-247 (01 February 2006). DOI: 10.1215/S0012-7094-06-13122-8

Abstract

We study the dynamics of a bimeromorphic map XX, where X is a compact complex Kähler surface. Under a natural geometric hypothesis, we construct an invariant probability measure, which is mixing, hyperbolic, and of maximal entropy. The proof relies heavily on the theory of laminar currents and is new even in the case of polynomial automorphisms of C2. This extends recent results by E. Bedford and J. Diller

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Romain Dujardin. "Laminar currents and birational dynamics." Duke Math. J. 131 (2) 219 - 247, 01 February 2006. https://doi.org/10.1215/S0012-7094-06-13122-8

Information

Published: 01 February 2006
First available in Project Euclid: 12 January 2006

zbMATH: 1099.37037
MathSciNet: MR2219241
Digital Object Identifier: 10.1215/S0012-7094-06-13122-8

Subjects:
Primary: 32H50, 32U40, 37F10

Rights: Copyright © 2006 Duke University Press

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Vol.131 • No. 2 • 01 February 2006
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