复级联模型在相边界上的连续性估计
Continuity estimates for the complex cascade model on the phase boundary
摘要：
我们考虑扩散相和玻璃相边界上的高斯权重二元树上的复杂分支随机游动。研究了连续函数空间中的分枝随机游动，并建立了该空间中的收敛性。这里的主要困难是，期望的模的连续性的限制是太弱，以显示在空间中的连续函数的标准工具，从随机过程的理论紧。
英文摘要：
We consider the complex branching random walk on a dyadic tree with Gaussian weights on the boundary between the diffuse phase and the glassy phase. We study the branching random walk in the space of continuous functions and establish convergence in this space. The main difficulty here is that the expected modulus of continuity of the limit is too weak in order to show tightness in the space of continuous functions by means of standard tools from the theory of stochastic processes.
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