Decay properties of Markovian bulk-arrival and bulk-service queues with state-independent control

We consider decay properties regarding decay parameter and invariant measures of Markovian bulk-arrival and bulk-service queues with state-independent control. The exact value of the decay parameter, denoted by λz, is firstly revealed. A criterion regarding ）λz-recurrence and λz-positive is obtained. The corresponding λz-subinvariant/invariant measures and λz-subinvariant/invariant vectors are then presented.     

分形图像压缩技术的数学基础

分形图像压缩技术是近年来产生的新的黑种人压缩技术，它以分形几何为数学基础。本文综述了这一技术的基本原理、数学基础及最新进展，包括迭代函数系统理论，迭代函数系统反问题，图像生成算法，基本思想与实现技术等等，同时也提出了一些有待深入研究的方向。