论文标题
随机复合物Ginzburg-Landau方程的不可约性，由纯跳噪声及其应用驱动
Irreducibility of stochastic complex Ginzburg-Landau equations driven by pure jump noise and its applications
论文作者
论文摘要
考虑到不可约性对于研究随机动力学系统的刻薄性至关重要。在本文中，我们建立了由纯跳跃噪声驱动的随机复合物Ginzburg-laudau方程的不可约性。我们的结果不含尺寸，驾驶噪声上的条件非常轻微。由本文的作者和T. Zhang制定的标准和T. Zhang发挥了至关重要的作用，这是由纯跳跃噪声驱动的随机方程式的不可约性。作为一种应用，我们获得了随机复合物Ginzburg-laudau方程的崇高性。我们指出，我们的恐怖性结果涵盖了纯净的跳跃变性噪声的弱耗散情况。
Considering irreducibility is fundamental for studying the ergodicity of stochastic dynamical systems. In this paper, we establish the irreducibility of stochastic complex Ginzburg-Laudau equations driven by pure jump noise. Our results are dimension free and the conditions placed on the driving noises are very mild. A crucial role is played by criteria developed by the authors of this paper and T. Zhang for the irreducibility of stochastic equations driven by pure jump noise. As an application, we obtain the ergodicity of stochastic complex Ginzburg-Laudau equations. We remark that our ergodicity result covers the weakly dissipative case with pure jump degenerate noise.
