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Optimal paths for symmetric actions in the unitary group
geodesic segment Lagrangian optimal path unitarily invariant norm unitary group Grassmann manifold angular metric
2011/9/5
Abstract: Given a positive and unitarily invariant Lagrangian L defined in the algebra of Hermitian matrices, and a fixed interval $[a,b]\subset\mathbb R$, we study the action defined in the Lie group...
Rate of convergence of linear functions on the unitary group
Rate of convergence linear functions unitary group
2010/11/29
We study the rate of convergence to a normal random variable of the real and imaginary parts of TrANU, where U is an N ×N random unitary matrix and AN is a deterministic complex matrix.