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math.FA2026
The Karcher Mean on Lie Groups of Upper Triangular Matrices
Huajun Huang, Jimmie Lawson
We study the weighted Karcher mean on the Lie group of upper triangular matrices with positive diagonal entries. Using a divided-difference description of ana…
math.FA2017
The stochastic order of probability measures on ordered metric spaces
Fumio Hiai, Jimmie Lawson, Yongdo Lim
The general notion of a stochastic ordering is that one probability distribution is smaller than a second one if the second attaches more probability to higher values than the firs…