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个人陈述优秀范文实例三(申请到美国加州大学伯克利分校理科博士全额奖学金)

PERSONAL STATEMENT

Rooted in mathematics, and meanwhile interacting with many other subjects, probability has fascinated me for its beauty and rigor in theory, as well as its strong potential of application in practice.

After several-year training in mathematics, I took the course “Applied Stochastic Processes” instructed by Professor Dayue Chen, who challenged and inspired me a lot. I still remember those backbreaking but delighted days devoted to the theorems and problems. One theorem, showing the connection between probability and physics, stated that the recurrence of a simple random walk on an infinite connected graph is equivalent to the infinity of the total resistance of the electric network generated from the graph. Amazed and amused, I even tried to prove it by myself. Later, realizing the difficulty, I looked up the proof in the book Probability on Trees and Networks by Sir R. Lyons and Y. Peres. The neat mathematics and insightful intuitions perfectly integrated in this theorem and more generally, in probability theory have been intriguing me from then on. 

That course started my road on probability, which is continued by a whole year working supervised by Rrofessor Chen. While generally exposing myself to various branches of probability, I focused mainly on discrete probability. I read recent papers, participated in seminars, took advanced lectures on random graphs, percolation and the Gaussian methods. With the accumulation of knowledge in probability, I further strengthened my interest in the subject. 

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