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- Massachusetts Institute of TechnologyUS194 papers
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20 papers · 1 filter
Correlation between Angle and Side
Steven R. Finch
Let alpha be an arbitrary angle in a random spherical triangle Delta and a be the side opposite alpha. (The sphere has radius 1; vertices of Delta are independent and uniform.) If…
Holography and colliding gravitational shock waves in asymptotically AdS_5 spacetime
Paul M. Chesler, Laurence G. Yaffe
Using holography, we study the collision of planar shock waves in strongly coupled N=4 supersymmetric Yang-Mills theory. This requires the numerical solution of a dual gravitationa…
Leaders, Followers, and Community Detection
Dhruv Parthasarathy, Devavrat Shah, Tauhid Zaman
Communities in social networks or graphs are sets of well-connected, overlapping vertices. The effectiveness of a community detection algorithm is determined by accuracy in finding…
Single Layer Behavior and Its Breakdown in Twisted Graphene Layers
A. Luican, Guohong Li, A. Reina +5
We report high magnetic field scanning tunneling microscopy and Landau level spectroscopy of twisted graphene layers grown by chemical vapor deposition. For twist angles exceeding…
Isomorphisms of quantizations via quantization of resolutions
Ivan Losev
In this paper we prove the existence of isomorphisms between certain non-commutative algebras that are interesting from representation theoretic perspective and arise as quantizati…
The Equivalence of Sampling and Searching
Scott Aaronson
In a sampling problem, we are given an input x, and asked to sample approximately from a probability distribution D_x. In a search problem, we are given an input x, and asked to fi…