We study the dynamics of a bimeromorphic map X→ X, where X is a compact complex
Kähler surface. Under a natural geometric hypothesis, we construct an invariant probability …

Given a birational self-map of a compact complex surface, it is useful to find an invariant
measure that relates the dynamics of the map to its action on cohomology. Under a very …

The Cremona group Page 118 Proceedings of Symposia in Pure Mathematics Volume 97.1,
2018 http://dx. doi. org/10.1090/pspum/097.1/01690 The Cremona group Serge Cantat …

1.4. Aim and scope. These notes focus on the algebraic structure of (subgroups of) the
Cremona group in two variables. Dynamical properties of birational transformations are not …

We try to find a geometric interpretation of the wedge product of positive closed laminar
currents in ℂ². We say such a wedge product is geometric if it is given by intersecting the …

This research article provides a thorough exploration of invariants in birational mapping,
focusing on their properties, applications, and mathematical significance in algebraic …

For meromorphic maps of complex manifolds, ergodic theory and pluripotential theory are
closely related. In nice enough situations, dynamically defined Green's functions give rise to …

Soient X et Y des variétés kählériennes compactes, et f: X→ Y une application méromorphe
dominante. En nous basant sur un théorème de régularisation de Dinh et Sibony pour des …

Cette thèse est consacrée aux systèmes dynamiques holomorphes en dimension complexe
2, et à la théorie des courants laminaires, qui en est issue. Nous étudions la dynamique …

Objetivos Esta Tese traz Treze (13) Resultados Inéditos sendo Oito Teoremas Novos e
Cinco Conjecturas. O nosso foco foi introduzir e usar umas ferramentas novıssimas …