流的几何学、相交理论和类水平映象的动力学
Geometry of currents, intersection theory and dynamics of horizontal-like maps
摘要：
我们介绍了一个几何锥上的正闭电流的bidegrees（p，p），并应用它来定义这种电流的交叉。我们还构造并研究了类水平映射的格林流和平衡测度。格林电流满足一些极值性质。平衡测度是不变的、混合的、具有最大熵的。它等于与水平状地图及其逆地图相关联的绿电流的交点。
英文摘要：
We introduce a geometry on the cone of positive closed currents of bidegree (p,p) and apply it to define the intersection of such currents. We also construct and study the Green currents and the equilibrium measure for horizontal-like mappings. The Green currents satisfy some extremality properties. The equilibrium measure is invariant, mixing and has maximal entropy. It is equal to the intersection of the Green currents associated to the horizontal-like map and to its inverse.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
