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math.DS2016
Convergence of Dynamics and the Perron-Frobenius Operator
Moritz Gerlach
We complete the picture how the asymptotic behavior of a dynamical system is reflected by properties of the associated Perron-Frobenius operator. Our main result states that strong…
math.DS2015
Measure-preserving semiflows and one-parameter Koopman semigroups
Nikolai Edeko, Moritz Gerlach, Viktoria Kühner
We characterize Markov lattice semigroups induced by measurable semiflows on probability spaces by properties of their generators. In addition we construct topological models on co…