Analysis of stochastic processes on the adeles

阿黛尔随机过程分析

• 批准号: 19740055
• 负责人: YASUDA Kumi
• 金额: $ 1.57万
• 依托单位: Keio University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Young Scientists (B)
• 财政年份: 2007
• 资助国家: 日本
• 起止时间: 2007 至 2010
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19740055/
• 关键词: アデール環; 確率解析; p進体; 確率過程; マルコフ過程; オイラー積; P進体

Construction of Markov processes on the adeles, and analysis of the distribution of the exit time from the p-adic integer ring, and the p-adic norm of the p-component of the processes at the exit time. Description of the distribution of the exit time of the adelic processes from the finite integral adeles. Formulae for Riemann's zeta and other functions with Euler product representations in terms of the exit time of the processes and the p-adic norm of the p-component at the exit time. Functional equations relating the values of Riemann's zeta function at a point and its complex conjugates or its real part.

构造了Adele上的Markov过程，分析了p-adic整数环的退出时刻的分布，以及退出时刻过程的p-分量的p-adic范数.从有限积分adeles出发的adelic过程的出时分布的描述。黎曼zeta函数和其他函数的欧拉乘积表示公式，根据过程的出口时间和出口时间p分量的p-adic范数。函数方程，它将黎曼zeta函数在一点上的值与其复共轭或其真实的部分联系起来。

项目成果

Q_pのはなし

Q_p的故事

• 发表时间: 2009
• 作者: Witold Karwowski;Kumi Yasuda;Kumi Yasuda;Kumi Yasuda;Kumi Yasuda;Kumi Yasuda;Kumi Yasuda;Kumi Yasuda;Kumi Yasuda;Kumi Yasuda;Kumi Yasuda;Kumi Yasuda;Kumi Yasuda;安田公美;安田公美
• 通讯作者: 安田公美

Markov processes on Adeles

阿黛尔的马尔可夫过程

• 发表时间: 2007
• 作者: Witold Karwowski;Kumi Yasuda;Kumi Yasuda;Kumi Yasuda;Kumi Yasuda;Kumi Yasuda;Kumi Yasuda;Kumi Yasuda;Kumi Yasuda;Kumi Yasuda;Kumi Yasuda;Kumi Yasuda;Kumi Yasuda;安田公美;安田公美;安田公美;Kumi Yasuda;安田公美;安田公美;Kumi Yasuda;安田公美
• 通讯作者: 安田公美

Markov processes on R^2 with ultrametric jumps

使用超度量跳跃对 R^2 进行马尔可夫处理

• 发表时间: 2010
• 期刊: 京都大学数理解析研究所講究録 1672巻
• 作者: Witold Karwowski;Kumi Yasuda;Kumi Yasuda;Kumi Yasuda
• 通讯作者: Kumi Yasuda

Markov processes on R^2 with ultrametric jumps, Stochastic Analysis of Jump Processes

使用超度量跳跃对 R^2 进行马尔可夫处理，跳跃过程的随机分析

• 发表时间: 2009
• 作者: Witold Karwowski;Kumi Yasuda;Kumi Yasuda;Kumi Yasuda;Kumi Yasuda;Kumi Yasuda;Kumi Yasuda;Kumi Yasuda;Kumi Yasuda;Kumi Yasuda;Kumi Yasuda;Kumi Yasuda;Kumi Yasuda;安田公美;安田公美;安田公美;Kumi Yasuda;安田公美;安田公美;Kumi Yasuda
• 通讯作者: Kumi Yasuda

Markov processes on the adeles and applications

阿黛尔的马尔可夫过程及其应用

• 发表时间: 2010
• 作者: Witold Karwowski;Kumi Yasuda;Kumi Yasuda;Kumi Yasuda;Kumi Yasuda;Kumi Yasuda;Kumi Yasuda;Kumi Yasuda;Kumi Yasuda;Kumi Yasuda
• 通讯作者: Kumi Yasuda