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Showing 1 to 2 of 2 for “"Matrix measures"”.
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Automatic simulation-driven reachability using matrix measures
… algorithms rely on computing local bounds on the matrix measure of the Jacobian matrices. We discuss different techniques to compute the matrix measures under different norms: regular Euclidean norm or Euclidean norm under coordinate transformation, such that the exponential rate of the …
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Random Sorting Networks, the Directed Landscape, and Random Polynomials
… find the weak limit of the time-t permutation matrix measures of sign. As a corollary, we show that if Sn is embedded into Rn via the map τ→(τ(1),τ(2),...τ(n)), then with high probability, σn is close to a great circle on a particular (n-2)-dimensional sphere. These results prove conjectures of …