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.
Reimann, Brownian motors: noisy transport far from equilib- rium, Physics Reports361, 57 (2002)
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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.