On existence of canonical GG-bases

We describe a general method for expanding a truncated G-iterative Hasse-Schmidt derivation, where G is an algebraic group. We give examples of algebraic groups for which our method works

Fixed-Target CP-Violation Experiments at Fermilab

Studies of CP violation, for 30 years focused primarily on the neutral K meson, are on the threshold of a new era as experiments approach Standard-Model sensitivities in decays of beauty, charm, and hyperons. The array of heavy-quark experiments approved and planned at Fermilab may lead to a significant breakthrough in the next five to ten years.Comment: Revised and expanded for greater clarity and completeness. 15 pages, 6 PostScript figure

A Polylogarithmic PRG for Degree 22 Threshold Functions in the Gaussian Setting

We devise a new pseudorandom generator against degree 2 polynomial threshold functions in the Gaussian setting. We manage to achieve $\epsilon$ error with seed length polylogarithmic in $\epsilon$ and the dimension, and exponential improvement over previous constructions

Old tales, untold : Lu Xun against world literature

World literature has smiled on Lu Xun 魯迅. He stands, if not as the foremost, then as a major representative of modern Chinese literature in anthologies. Though anthologies are not the ultimate arbiters of literary worldliness, they are influential discursive sites because of their accessibility and classroom utility. To wit, he is a common figure on university syllabi in world literature surveys. Professionally, scholarship on Lu Xun’s work reaches far beyond disciplinary Chinese studies. His works have been translated and retranslated many times in less than a century. All this is perhaps fitting considering his extraordinary services rendered to world literature as a reader and translator. Following David Damrosch’s (2003) provisional definition of world literature as circulation beyond a national origin (281), Lu Xun enabled dozens of works to circulate in Chinese, and in turn his works circulate beyond the Sinosphere. But not all of them. If, following Franco Moretti (2013), we were to look at world literature as a market, a work’s circulation has to do with the demands of readers as much as with its innate qualities (69-70). These demands reflect geopolitical realities, to be sure, but can also constitute an apologetics for them

The Average Sensitivity of an Intersection of Half Spaces

We prove new bounds on the average sensitivity of the indicator function of an intersection of $k$ halfspaces. In particular, we prove the optimal bound of $O(\sqrt{n\log(k)})$. This generalizes a result of Nazarov, who proved the analogous result in the Gaussian case, and improves upon a result of Harsha, Klivans and Meka. Furthermore, our result has implications for the runtime required to learn intersections of halfspaces