论文标题
Whittaker 2D增长模型的大偏差原理
Large Deviation Principle for the Whittaker 2d Growth Model
论文作者
论文摘要
惠特克（Whittaker）2D增长模型是在许多科学环境中出现的三角连续的马尔可夫扩散过程。从理论上讲，这是一个具有缩放因素的2D过程的较大偏差原理。主要的挑战是时空相互作用和动力学可能取决于潜在的样品路径交集。我们通过新的速率函数开发这样的原理。我们的方法主要基于Schider定理，收缩原理和与样本相交的特殊处理。
The Whittaker 2d growth model is a triangular continuous Markov diffusion process that appears in many scientific contexts. It has been theoretically intriguing to establish a large deviation principle for this 2d process with a scaling factor. The main challenge is the spatiotemporal interactions and dynamics that may depend on potential sample-path intersections. We develop such a principle with a novel rate function. Our approach is mainly based on Schider's Theorem, contraction principle, and special treatment for intersecting sample paths.
