Quantitative control of Wasserstein distance between Brownian motion and the Goldstein–Kac telegraph process

IF 1.5 Q2 PHYSICS, MATHEMATICAL
G. Barrera, J. Lukkarinen
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引用次数: 2

Abstract

In this manuscript, we provide a non-asymptotic process level control between the telegraph process and the Brownian motion with suitable diffusivity constant via a Wasserstein distance with quadratic average cost. In addition, we derive non-asymptotic estimates for the corresponding time average $p$-th moments. The proof relies on coupling techniques such as coin-flip coupling, synchronous coupling and the Koml\'os--Major--Tusn\'ady coupling.
布朗运动与戈德斯坦-卡茨电报过程之间的沃瑟斯坦距离的定量控制
在本文中,我们通过二次平均代价的Wasserstein距离,给出了电报过程和布朗运动之间具有合适扩散常数的非渐近过程水平控制。此外,我们导出了相应时间平均$p$-th矩的非渐近估计。证明依赖于耦合技术,如抛硬币耦合、同步耦合和Koml\'os- Major- Tusn\'ady耦合。
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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来源期刊
CiteScore
2.30
自引率
0.00%
发文量
16
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