Distances in random structures

随机结构中的距离

• 批准号: 341845-2012
• 负责人: AddarioBerry, Louigi
• 金额: $ 1.82万
• 依托单位: McGill University
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2012
• 资助国家: 加拿大
• 起止时间: 2012-01-01 至 2013-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=508793
• 关键词: Distances; random; structures

Phase transitions are ubiquitous in the natural world -- they are so commonplace that their strangeness is almost invisible to us. Why should water turn suddenly to ice at 0 degrees Celsius, rather than becoming gradually thicker as the temperature drops? Why will iron magnetize at 770 degrees but not at 769? Developing a mathematical theory for such phenomena is one of the most difficult and exciting mathematical challenges of the age.

相变在自然界中无处不在--它们是如此的常见，以至于我们几乎看不到它们的奇怪之处。为什么水在0摄氏度时会突然变成冰，而不是随着温度的下降而逐渐变厚呢？为什么铁在770度时会磁化，而在769度时却不会？为这种现象发展一种数学理论是这个时代最困难和最令人兴奋的数学挑战之一。