Member Seminar Speaker: Dan Kapec Title: Black Holes, 2D Gravity, and Random Matrices Abstract: I will discuss old and new connections between black hole physics, 2D quantum gravity, and random matrix theory. Black holes are believed to be very complicated, strongly interacting quantum mechanical systems, and certain aspects of their Hamiltonians should be well approximated by random […]
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Member Seminar
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Member Seminar Speaker: Changji Xu Title: On the solution space of the Ising perceptron model Abstract: Consider the discrete cube $\{-1,1\}^N$ and a random collection of half spaces which includes each half space $H(x) := \{y \in \{-1,1\}^N: x \cdot y \geq \kappa \sqrt{N}\}$ for $x \in \{-1,1\}^N$ independently with probability $p$. The solution space is […] |
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