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math.RA2025
Universal Bound on the Eigenvalues of 2-Positive Trace-Preserving Maps
Frederik vom Ende, Dariusz Chruściński, Gen Kimura +1
We prove an upper bound on the trace of any 2-positive, trace-preserving map in terms of its smallest eigenvalue. We show that this spectral bound is tight, and that 2-positivity i…
math.RA2024
Generating Sets of Stochastic Matrices
Frederik vom Ende, Fereshte Shahbeigi
This paper introduces the concept of a generating set for stochastic matrices -- a subset of matrices whose repeated composition generates the entire set. Understanding such genera…