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Yufei Zhao - Department of Mathematics - MITYufei Zhao
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Yufei Zhao
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Yufei Zhao
Apt 742B●●●●●●●●cific St
Cam●●●dge , Massachusetts, 02139
United States
View this contact
Yufei Zhao
Apt 742B●●●●●●●●cific St
Cam●●●dge , Massachusetts, 02139
United States
View this contact
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Yufei Zhao - Department of Mathematics - MIT | yufeizhao.com Reviews
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Yufei Zhao
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Yufei Zhao - Papers
http://www.yufeizhao.com/papers.html
A list of publications can also be found in my CV. We prove that the properties of having small discrepancy and having small second eigenvalue are equivalent in Cayley graphs, extending a result of Kohayakawa, Rödl and Schacht, who treated the abelian case. The proof relies on a number of ingredients, including Grothendieck's inequality and non-abelian Fourier analysis. As a corollary, we also prove that a similar result holds in all vertex-transitive graphs. A relative Szemerédi theorem. The key compone...
Yufei Zhao - Misc.
http://www.yufeizhao.com/misc.html
Origin of my name. As told by my grandfather. 第一篇 逍遥游 ，说，北海有大鱼，叫鲲， 鲲变为大鸟，叫鹏。 Is a famous classic Chinese text. It consists of thirty-three chapters. The first chapter, titled Enjoyment in Untroubled Ease, tells the story of a fish in the North Sea named Kun (鲲). Kun transforms into a bird with the name of Peng (鹏), the back of which spans several thousand li. When the bird flies, its wings are like the clouds, taking the bird ninety thousand li above the sea. Countries I've been to.
Yufei Zhao - Math Olympiad
http://www.yufeizhao.com/olympiad.html
I have taught classes at various math olympiad training programs. Here are some of my handouts and training material. MOP 2007 Black group. Integer polynomials, including various irreducibility criteria. Canadian 2008 Winter Training. Contains a short essay discussing the IMO 2001 inequality. Canadian 2008 Summer Training. Determinants: Evaluation and Manipulation. MIT UMA Putnam Talk. Linear algebra tricks for the Putnam. MIT UMA Putnam Talk. Algebraic Techniques in Combinatorics. MOP 2007 Black Group.
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Jacob Fox
http://math.mit.edu/~fox
I am a Professor in the Department of Mathematics. Before recently joining Stanford, I enjoyed the hospitality of the MIT Department of Mathematics. I completed my Ph.D. in mathematics at Princeton University in 2010. My advisor was Benny Sudakov. My work is supported by a Packard Fellowship, an NSF CAREER award, and an Alfred P. Sloan Research Fellowship. I was previously supported by a Simons Fellowship. László Miklós Lovász. David G. Harris. Daniel J. Kleitman. Kathy Lin, Anita Liebenau.
On replica symmetry of large deviations in random graphs | Yufei Zhao
https://yufeizhao.wordpress.com/2012/10/28/replica-symmetry
On replica symmetry of large deviations in random graphs. And I just uploaded to the arXiv our new paper “On replica symmetry of large deviations in random graphs.”. In this paper we answer the following question of Chatterjee and Varadhan. Be a large integer and let. Be an instance of the Erdős-Rényi random graph. Conditioned on the rare event that. Has at least as many triangles as the typical. Look like a typical. Here the Erdős-Rényi random graph. Is formed by taking. Having too many triangles? The p...
Recent developments on the Green-Tao theorem | Yufei Zhao
https://yufeizhao.wordpress.com/2013/07/18/szemeredi-primes
Recent developments on the Green-Tao theorem. There has quite a bit of activities around the Green-Tao theorem recently. In this blog post, I want to highlight some of these developments, focusing on the following papers, which were all posted on the arXiv in the past couple of months. D Conlon, J. Fox and Y. Zhao, A relative Szemerédi theorem. Y Zhao, An arithmetic transference proof of a relative Szemerédi theorem. Multidimensional Szemerédi theorem in the primes. 8212;—–. Jacob Fox, David Conlon, and ...
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Yufei Zhao - Department of Mathematics - MIT
I completed my Ph.D. in Mathematics at MIT. In June 2015. My advisor was Jacob Fox. My research interests include:. Extremal and probabilistic combinatorics. Graph theory and graph limits. Video: my talk at the Simons Institute, Berkeley about our work on the Green-Tao theorem. Email: yufeiz [at] mit [dot] edu. PhD Mathematics, MIT, 2015. Mathematics with Distinction, Cambridge, 2011. SB Mathematics, MIT, 2010. SB Computer Science and Engineering, MIT, 2010.
Yufei Zhao
February 25, 2014. Upper tails for triangles in sparse random graphs. And I just finished and uploaded to the arXiv our new paper. On the variational problem for upper tails of triangle counts in sparse random graphs. This paper concerns the following question:. The upper tail problem for triangles. What is the probability that the number of triangles in an Erdős-Rényi graph graph. Is at least twice its mean, or more generally, larger than the mean by a factor of. The infamous upper tail. Tends to zero as.
Yufei Zhao @ Columbia University | The slower we move, the faster we die.
Yufei Zhao @ Columbia University. The slower we move, the faster we die. Skip to primary content. Skip to secondary content. August 20, 2014. Largest Rectangle in Histogram. Given n non-negative integers representing the histogram’s bar height where the width of each bar is 1, find the area of largest rectangle in the histogram. Continue reading →. August 19, 2014. Given s1, s2, s3, find whether s3 is formed by the interleaving of s1 and s2. S1 = “aabcc”,. S2 = “dbbca”,. Continue reading →. Continue read...
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