论文标题
光谱热含量的大型和小型行为，以适应时间变化的稳定过程
Large-time and small-time behaviors of the spectral heat content for time-changed stable processes
论文作者
论文摘要
我们研究了光谱热含量的大型和小型渐近行为，用于时间变化的稳定过程，其中时间变化属于大型的逆下属。对于大型行为，光谱热含量与由基础下属的拉普拉斯指数确定的衰减速率衰变，这与在时间变化是从属源的情况下观察到的指数衰减形成鲜明对比。另一方面，小型行为表现出三种不同的衰减状态，其中衰减率由拉普拉斯指数和稳定过程的索引决定。
We study the large-time and small-time asymptotic behaviors of the spectral heat content for time-changed stable processes, where the time change belongs to a large class of inverse subordinators. For the large-time behavior, the spectral heat content decays polynomially with the decay rate determined by the Laplace exponent of the underlying subordinator, which is in sharp contrast to the exponential decay observed in the case when the time change is a subordinator. On the other hand, the small-time behavior exhibits three different decay regimes, where the decay rate is determined by both the Laplace exponent and the index of the stable process.
