AI 中文总结
本文证明二维Wick-ordered三次波动方程在低温极限下满足轨迹大偏差原理，并发现Gibbs初始数据的高频扰动导致连续的质量偏移速率函数。
AI 中文摘要
我们证明了在低温极限下，对于二维Wick-ordered散焦三次非线性波动方程，初始数据取自不变Gibbs测度时，轨迹大偏差原理成立。我们进一步证明，具有相同静态速率函数的Gibbs初始数据的渐近消失高频扰动，会产生连续统不同的质量偏移轨迹速率函数。
英文摘要
We prove a trajectory large deviation principle, in the low-temperature limit, for the two-dimensional Wick-ordered defocusing cubic nonlinear wave equation, with initial data drawn from the invariant Gibbs measure. We further show that asymptotically vanishing high-frequency perturbations of the Gibbs initial data, with the same static rate function, generate a continuum of distinct mass-shifted trajectory rate functions.
