Dynamics of regular birational maps in P^k

Tien-Cuong Dinh; Nessim Sibony

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Dynamics of regular birational maps in P^k

Tien-Cuong Dinh·Nessim Sibony

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Abstract

We develop the study of some spaces of currents of bidegree (p,p). As an application we construct the equilibrium measure for a large class of birational maps of P^k as intersection of Green currents. We show that these currents are extremal and that the corresponding measure is mixing.

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Tien-Cuong Dinh, Nessim Sibony. 2004-12-15. Dynamics of regular birational maps in P^k. https://arxiv.org/abs/math/0406367

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