扩散限制零化系统与增凸阶
Diffusion-limited annihilating systems and the increasing convex order
摘要：
我们考虑扩散限制的零化系统与移动$A$ -粒子和固定$B$ -粒子放置在整个图。当一个$A$粒子遇到一个$B$粒子时，就会发生相互湮灭。当在离散时间中运行时，这样的系统也被称为停车过程。我们显示了一个广泛的家庭的图形和随机游动内核，增加粒子的初始位置的大小或可变性增加了总占用时间由$A$ -粒子的一个给定的子集的图形。一个推论是，相同的现象发生在所有粒子的总寿命内的内部扩散限制聚集。
英文摘要：
We consider diffusion-limited annihilating systems with mobile $A$-particles and stationary $B$-particles placed throughout a graph. Mutual annihilation occurs whenever an $A$-particle meets a $B$-particle. Such systems, when ran in discrete time, are also referred to as parking processes. We show for a broad family of graphs and random walk kernels that augmenting either the size or variability of the initial placements of particles increases the total occupation time by $A$-particles of a given subset of the graph. A corollary is that the same phenomenon occurs with the total lifespan of all particles in internal diffusion-limited aggregation.
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。
