$Φ^4_3$ -过程状态空间可积性的改进及由逼近随机量子化方程的平稳过程极限构造的$Φ^4_3$ -测度的支持
An improvement of the integrability of the state space of the $Φ^4_3$-process and the support of the $Φ^4_3$-measure constructed by the limit of stationary processes of approximating stochastic quantization equations
摘要：
我们改进了[Albeverio，Kusuoka，Ann. Sc. Norm.]中所得到的$Φ^4_3$ -过程的状态空间的可积性和环面上$Φ^4_3$ -测度的支持. Super.比萨海峡Sci. (5)，2020]。为了改进，我们改进了逼近方程解的Hölder时间连续性的估计.本文仅讨论与[Albeverio，Kusuoka，Ann. Sc. Norm. Super.比萨海峡Sci. (5)，2020]。
英文摘要：
We improve the integrability of the state space of the $Φ^4_3$-process and the support of the $Φ^4_3$-measure on the torus obtained in [Albeverio, Kusuoka, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), 2020]. For the improvement, we improve the estimates of the Hölder continuity in time of the solutions to approximation equations. In the present paper, we only discuss the estimates different from those in [Albeverio, Kusuoka, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), 2020].
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
