一类随机热方程的迭代对数钟定律

IF 0.5 4区数学 Q4 STATISTICS & PROBABILITY

Electronic Communications in Probability Pub Date : 2023-01-01 DOI:10.1214/23-ecp542

Jiaming Chen

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引用次数: 0

摘要

我们建立了一类由乘性噪声驱动的随机热方程的迭代对数的chung型定律，其系数依赖于解，这种依赖使我们摆脱了高斯设置。基于小球概率的文献和冻结系数技术，可以几乎肯定地求出迭代对数钟定律中的极限常数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Chung’s law of the iterated logarithm for a class of stochastic heat equations

We establish a Chung-type law of the iterated logarithm for the solutions of a class of stochastic heat equations driven by a multiplicative noise whose coefficient depends on the solution, and this dependence takes us away from Gaussian setting. Based on the literature on small ball probabilities and the technique of freezing coefficients, the limiting constant in Chung’s law of the iterated logarithm can be evaluated almost surely.

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来源期刊

Electronic Communications in Probability 工程技术-统计学与概率论

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Electronic Communications in Probability (ECP) publishes short research articles in probability theory. Its sister journal, the Electronic Journal of Probability (EJP), publishes full-length articles in probability theory. Short papers, those less than 12 pages, should be submitted to ECP first. EJP and ECP share the same editorial board, but with different Editors in Chief.