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math.CA2005★ 1 cited
An Inequality of Hadamard Type for Permanents
Eric Carlen, Elliott H. Lieb, Michael Loss
Let F be an N x N complex matrix whose jth column is the vector f_j in C^N. Let |f_j|^2 denote the sum of the absolute squares of the entries of f_j. Hadamard's inequality for dete…
math.CA2003
Constrained deepest descent in the 2-Wasserstein metric
E. A. Carlen, W. Gangbo
We study several constrained variational problem in the 2-Wasserstein metric for which the set of probability densities satisfying the constraint is not closed. For example, given…