在过去几年中，在研究分枝过程中，很多和随机树有关的工具，技巧和思想得到了发展，比如脊柱分解，有偏树，随机蛇与历史过程等。在这个项目中，我们希望可以发展和运用上述工具，技巧和思想来研究分枝过程以及相关的模型。更具体的说，我们的研究对象主要包括：超过程的分形性质；分枝随机游动的极限理论；超过程与偏微分方程之间的联系。

In the past several years, to study branching processes, many useful tools, techniques and ideas associated with random trees have been developed such as spine decomposition, size-biased tree, random snake and historical processes. In this project, we want to develop and use above mentioned tools, techniques and ideas to study branching processes and related models. More precisely, our studying objects mainly include: fractal properties of superprocesses; limit theory of branching random walks; connections between PDEs and superprocesses.