论文标题
临界2D随机热流不是高斯乘法混乱
The critical 2d Stochastic Heat Flow is not a Gaussian Multiplicative Chaos
论文作者
论文摘要
关键的$ 2D $随机热流（SHF）是$ {\ Mathbb r}^2 $的随机度量的随机过程，该过程最近在[CSZ23]中构建。我们表明，这个过程属于高斯乘法混乱（GMC）的类别，从某种意义上说，它不能被实现为（一般性）高斯领域的指数。我们通过在SHF的时刻进行严格的下限来实现这一目标。
The critical $2d$ Stochastic Heat Flow (SHF) is a stochastic process of random measures on ${\mathbb R}^2$, recently constructed in [CSZ23]. We show that this process falls outside the class of Gaussian Multiplicative Chaos (GMC), in the sense that it cannot be realised as the exponential of a (generalised) Gaussian field. We achieve this by deriving strict lower bounds on the moments of the SHF that are of independent interest.
