论文标题
零范围的过程，速度迅速增长
Zero-range processes with rapidly growing rates
论文作者
论文摘要
我们提供了两种方法，以$ {\ Mathbb z}^d $上的超线性速率构建零范围的进程。在第一种方法中，如果在一维晶格中，动力学和初始分布是不变的，或者仅允许最近的Neigbour翻译不变的跳跃，则这些速率可以非常快地增长。在第二种方法中，速率不能尽快增长，但允许更一般的动态。
We provide two methods to construct zero-range processes with superlinear rates on ${\mathbb Z}^d$. In the first method these rates can grow very fast, if either the dynamics and the initial distribution are translation invariant or if only nearest neigbour translation invariant jumps are permitted, in the one-dimensional lattice. In the second method the rates cannot grow as fast but more general dynamics are allowed.
