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Random walks in irregular media

Random walks in irregular media
不规则介质中的随机游走
批准号:
RGPIN-2016-03703
负责人:
Barlow, Martin
金额:
$2.91万
依托单位国家:
加拿大
项目类别:
Discovery Grants Program - Individual
财政年份:
2017
资助国家:
加拿大
项目状态:
已结题
起止时间:
2017-01-01 至 2018-12-31

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中文摘要
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英文摘要
The study of random walks in mathematics goes back as least as far as the work of Polya in 1921; he showed that a simple random walk in one or two dimensions will return to its starting point infinitely often, while in 3 or more dimensions it will ultimately leave its initial neighbourhood, never to return. At large length scales random walks can be approximated by Brownian motion. The connection between diffusion and partial differential equations (PDE) is due to Einstein; the transition probabilities of the diffusion process are solutions to the heat equation. These connections, which hold in great generality, were explored very thoroughly in the second part of the 20th century by mathematicians.
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Random walks in irregular media
  • 批准号:
    RGPIN-2016-03703
  • 项目类别:
    Discovery Grants Program - Individual
  • 资助金额:
    $2.91万
  • 财政年份:
    2020
  • 负责人:
    Barlow, Martin
  • 依托单位:
Random walks in irregular media
  • 批准号:
    RGPIN-2016-03703
  • 项目类别:
    Discovery Grants Program - Individual
  • 资助金额:
    $2.91万
  • 财政年份:
    2019
  • 负责人:
    Barlow, Martin
  • 依托单位:
Random walks in irregular media
  • 批准号:
    RGPIN-2016-03703
  • 项目类别:
    Discovery Grants Program - Individual
  • 资助金额:
    $2.91万
  • 财政年份:
    2018
  • 负责人:
    Barlow, Martin
  • 依托单位:
Random walks in irregular media
  • 批准号:
    RGPIN-2016-03703
  • 项目类别:
    Discovery Grants Program - Individual
  • 资助金额:
    $2.91万
  • 财政年份:
    2016
  • 负责人:
    Barlow, Martin
  • 依托单位:
海外基金