论文标题
$ p $ adic布朗尼桥的某些出口概率的估计
Estimates of Certain Exit Probabilities for $p$-Adic Brownian Bridges
论文作者
论文摘要
对于每个Prime $ P $，一个扩散常数与正指数一起指定Vladimirov操作员和相关的$ p $ -ADIC扩散方程。该伪差方程的基本解决方案在$ p $ ad的价值路径的skorokhod空间上产生了衡量标准，该路径集中在起源于原点的路径上。我们从球中计算出路径的第一个退出概率，并估算了布朗尼桥的这些概率。
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.
