Much of the research by Dr. Mirzakhani, who was born in Tehran in 1977, has involved the behavior of dynamical systems. There are no exact mathematical solutions for many dynamical systems, even simple ones.
米尔札哈尼博士1977年出生于德黑兰,她的许多研究都涉及到动力系统的行为。很多动力系统都没有精确的数学解决方案,就连一些很简单的系统也是如此。
"What Maryam discovered is that in another regime, the dynamical orbits are tightly constrained to follow algebraic laws," said Curtis T. McMullen, a professor at Harvard who was Dr. Mirzakhani's doctoral adviser. "These dynamical systems describe surfaces with many handles, like pretzels, whose shape is evolving over time by twisting and stretching in a precise way. They are related to billiards on tables that are not rectangular but still polygonal, like the regular octagon."
“玛丽亚姆的发现是:在另一个层面,动力学轨道严格遵循代数法则,”哈佛大学(Harvard)教授柯蒂斯·T·麦克马伦(Curtis T. McMullen),他是米尔札哈尼读博时的导师。“这些动力系统通过很多元素来描述表面,就像麻花一样,其形状通过扭曲和拉伸,以一种精确的方式随着时间推移而不断变化。它们有些像桌子上的撞球,桌子不是长方形的,但仍然是多边形,比如说正八边形。“
Dr. Avila, 35, investigated a different area of dynamical systems, including an understanding of fractals. Dr. Bhargava, 40, was recognized for new methods in the geometry of numbers, especially prime numbers, and Dr. Hairer, 38, made advances in the study of the effect of random noise on partial differential equations, capturing the effect of turbulence on ocean currents or the flow of air around airplane wings.
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