论文标题
负曲率和树木中平衡状态的混合速率
Rate of mixing for equilibrium states in negative curvature and trees
论文作者
论文摘要
在这项基于作者[BPP]的书的调查中，我们回想起帕特森·苏利文（Patterson-Sullivan）在负面弯曲的孔或树木中的地理流量的平衡状态，并讨论了它们的混合属性，凸显了它们的混合速率（不一定是可通过可计数（不一定必要）（不一定是必不一定有限的）造成的托架变换的混合速率。我们给出了许多不均匀树晶格的新结构，以使树商上的（离散时间）测量流相对于最大熵措施成倍混合：我们构造了示例的示例，其树木的末端任意空间或任意的（最多指数指数）的生长类型。
In this survey based on the book by the authors [BPP], we recall the Patterson-Sullivan construction of equilibrium states for the geodesic flow on negatively curved orbifolds or tree quotients, and discuss their mixing properties, emphazising the rate of mixing for (not necessarily compact) tree quotients via coding by countable (not necessarily finite) topological shifts. We give a new construction of numerous nonuniform tree lattices such that the (discrete time) geodesic flow on the tree quotient is exponentially mixing with respect to the maximal entropy measure: we construct examples whose tree quotients have an arbitrary space of ends or an arbitrary (at most exponential) growth type.
