Complex eigenvalues of Markov generators are localized by cycle affinity and winding numbers, yielding thermodynamic bounds on relaxation modes and proving the Uhl-Seifert ellipse conjecture.
Seifert, Efficiency of autonomous soft nanomachines at maxi- mum power, Physical review letters106, 020601 (2011)
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Cycle affinity and winding localize eigenvalues of Markov generators
Complex eigenvalues of Markov generators are localized by cycle affinity and winding numbers, yielding thermodynamic bounds on relaxation modes and proving the Uhl-Seifert ellipse conjecture.