当前位置: X-MOL 学术J. Theor. Probab. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Estimates of Certain Exit Probabilities for p -Adic Brownian Bridges
Journal of Theoretical Probability ( IF 0.8 ) Pub Date : 2021-05-08 , DOI: 10.1007/s10959-021-01099-0
David Weisbart

For each prime p, a diffusion constant together with a positive exponent specify a Vladimirov operator and an associated p-adic diffusion equation. The fundamental solution of this pseudo-differential equation gives rise to a measure on the Skorokhod space of p-adic valued paths that is concentrated on the paths originating at the origin. We calculate the first exit probabilities of paths from balls and estimate these probabilities for the Brownian bridges.



中文翻译:

p -Adic Brownian桥的某些出口概率的估计

对于每个素数p,扩散常数与正指数一起指定Vladimirov算子和相关的p -adic扩散方程。该伪微分方程的基本解引起对p -adic值路径的Skorokhod空间的度量,该度量集中在始于原点的路径上。我们计算球的路径的第一个出口概率,并估计布朗桥的这些概率。

更新日期:2021-05-08
down
wechat
bug