两次测量框架中热变化的涨落和重尾的控制
Control of fluctuations and heavy tails for heat variation in the two-time measurement framework
摘要：
我们在两次测量框架下研究热涨落。对于有界扰动，我们给出了充分的紫外正则性条件的扰动的时刻的热变化是一致有界的时间，和傅立叶变换的热变化分布是分析和一致有界的时间在一个复杂的邻域0。一组典型的例子，有界和无界扰动，我们表明，我们的紫外线条件是必要的。如果扰动的形状因子不满足我们的假设，热变化分布表现出重尾。尾部可以很重，以防止热变化的四阶矩的存在。
英文摘要：
We study heat fluctuations in the two-time measurement framework. For bounded perturbations, we give sufficient ultraviolet regularity conditions on the perturbation for the moments of the heat variation to be uniformly bounded in time, and for the Fourier transform of the heat variation distribution to be analytic and uniformly bounded in time in a complex neighborhood of 0. On a set of canonical examples, with bounded and unbounded perturbations, we show that our ultraviolet conditions are essentially necessary. If the form factor of the perturbation does not meet our assumptions, the heat variation distribution exhibits heavy tails. The tails can be as heavy as preventing the existence of a fourth moment of the heat variation.
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